The table below lists ordinary elliptic curves defined over a prime field Fp with 220 < log2(p) < 256. Each curve has prime order N and embedding degree k=10 (i.e. p10 is congruent to 1 mod N and no smaller power of p has this property). These parameters yield a pairing-friendly curve at or above the 110-bit security level (See Freeman, Scott, and Teske, A taxonomy of pairing-friendly curves, 2006).
The data is organized according to the negative fundamental discriminant D satisfying 4p=t2− v2D, where N=p+1-t. The endomorphism ring of the corresponding curve is isomorphic to the imaginary quadratic order with discrminant D (the ring of integers of the number field Q[√D], since D is fundamental). Attached to each entry is a file containing a complete list of all such curves (up to isomorphism).
The values of D were obtained using the method of Freeman described in Constructing pairing-friendly curves with embedding degree 10, ANTS VII, (2006). The curves were constructed by computing the Hilbert class polynomial modulo p, using the algorithm described in Computing Hilbert class polynomials with the Chinese Remainder Theorem.
As of 11/29/2008 the table is complete for |D| < 1012. There are 85 non-isogenous curves satisfying the parameters above.| Class Group | Curve Parameters
|
|---|---|
| D = -1,039,452,307 | p = 6462310997348816962203124910505252082673338846966431201635262694402825461643 (252 bits) |
| h(D) = 4,548 | t = 160777000809802606072486235096533360383 |
| y2 = x3− 3x + 3758367241838192900521619847487468746423998825048250968622890736520073467386 | |
| File EC1039452307.txt | |
| D = -1,227,652,867 | p = 18211650803969472064493264347375950045934254696657090420726230043203803 (234 bits) |
| h(D) = 5,328 | t = 269901098952705059670276196260897153 |
| y2 = x3− 3x + 4895448155544427302902823327885395803350583145191176515253483276841682 | |
| File EC1227652867.txt | |
| D = -2,307,463,867 | p = 594390182450554886611036512830174508087704895899188826533055932991927759323 (249 bits) |
| h(D) = 4,528 | t = 48760237179511540460926726962645450753 |
| y2 = x3− 3x + 79623702817007818176760200505706788415479599029661259017900888784010994117 | |
| File EC2307463867.txt | |
| D = -2,968,151,587 | p = 21299940147108870116853196464970054841764510783764597243030948496243 (224 bits) |
| h(D) = 4,668 | t = 9230371638695566653571450320531483 |
| y2 = x3− 3x + 8726617780219760386183759149592736527669699473803072356259348637169 | |
| File EC2968151587.txt | |
| D = -3,283,578,667 | p = 312532865879393486871277830492445390935670975553222508795013719329195815243 (248 bits) |
| h(D) = 7,781 | t = 35357198185342315773061786539878437983 |
| y2 = x3− 3x + 300966389736245126895742450516719710793914377453259071702918810374342218103 | |
| File EC3283578667.txt | |
| D = -8,464,566,163 | p = 5077208964230286383463597331892147893088142036699711717077705574573523 (232 bits) |
| h(D) = 10,332 | t = 142509072893346497743618821322403403 |
| y2 = x3− 3x + 1819895353689806402460140986310063284251981870481787347073952989497854 | |
| File EC8464566163.txt | |
| D = -9,633,854,587 | p = 1014460853457197715212715858710978480203340771897273777069008929299226883 (240 bits) |
| h(D) = 9,304 | t = 2014408949004345259650364210520215683 |
| y2 = x3− 3x + 413426036844107627807211113067525477284157185369806722245127304312605388 | |
| File EC9633854587.txt | |
| D = -9,652,155,547 | p = 58022331069970822060978717638245860257408233964316636604504311113609163 (236 bits) |
| h(D) = 13,626 | t = 481756498949296259770170740633526393 |
| y2 = x3− 3x + 5874579493307857702146294384269504010622599466956880907696567683483825 | |
| File EC9652155547.txt | |
| D = -10,867,653,523 | p = 8515979268216945232514393674048314616067476694613831667862196492763 (223 bits) |
| h(D) = 16,480 | t = 5836430165166698962381038457275393 |
| y2 = x3− 3x + 6332638262552783415065392805980699470890930791459232701264728709280 | |
| File EC10867653523.txt | |
| D = -11,039,933,587 | p = 1733497510794069595772386306446050491655700829670808546837857943666763 (231 bits) |
| h(D) = 11,280 | t = 83270583300324481293080121474750393 |
| y2 = x3− 3x + 283619981378153783369107407963961442697314803687662757804457359159493 | |
| File EC11039933587.txt | |
| D = -14,590,273,747 | p = 74182803082177849643358683333084639059607958432599736928339641078523 (226 bits) |
| h(D) = 14,986 | t = 17225887853132894426211526329150903 |
| y2 = x3− 3x + 61559962862332603588939067316586013284799005376813623618080860642423 | |
| File EC14590273747.txt | |
| D = -102,284,409,043 | p = 373115547537989111705391053244625577403767798886488797775778287092003 (228 bits) |
| h(D) = 47,092 | t = 38632398193122265016079961798352253 |
| y2 = x3− 3x + 180711824702205677791740256834776749136610521958501567706533251840958 | |
| File EC102284409043.txt | |
| D = -15,905,796,307 | p = 23424573162748522004326311347604430725366603514263097015425688827297523 (234 bits) |
| h(D) = 11,988 | t = 306101768454535538342108971050547653 |
| y2 = x3− 3x + 19981328082650360589751261379070052227581355228543897848700819252557722 | |
| File EC15905796307.txt | |
| D = -17,513,226,283 | p = 145123228421472287810807131608081422571855650179376393961519193160083 (227 bits) |
| h(D) = 14,384 | t = 24093420547649292863434924402845483 |
| y2 = x3− 3x + 1888492189442901657063290288351209162236588706194071309833915697439 | |
| File EC17513226283.txt | |
| D = -25,858,139,107 | p = 98785326044242260993290533311423833671338352502138724402271471758763 (226 bits) |
| h(D) = 19,492 | t = 19878161488854270900478770536344143 |
| y2 = x3− 3x + 91137598755225916565059381348741115749131901339313214147752037621343 | |
| File EC25858139107.txt | |
| D = -30,301,687,243 | p = 4513473013939617884588558879832221993632732971421004608430988868723 (222 bits) |
| h(D) = 22,096 | t = 4248987179994600964923858203986053 |
| y2 = x3− 3x + 1154514615266589337715825131895879152704725367830285892307490405328 | |
| File EC30301687243.txt | |
| D = -35,879,270,443 | p = 5826833189144399945222465360945224947990975746712989673313599482226027244123 (252 bits) |
| h(D) = 19,108 | t = 152667392578040710378935400260183340353 |
| y2 = x3− 3x + 2795137314462647963179964483324326562153379334315844535341039327773433113178 | |
| File EC35879270443.txt | |
| D = -37,392,761,707 | p = 1124398973734561641198702811862311418107901197218686099367759049531603 (230 bits) |
| h(D) = 21,944 | t = 67064117789904957228058111866208053 |
| y2 = x3− 3x + 588419725934082544446010564218534083863700513228001855845943820715818 | |
| File EC37392761707.txt | |
| D = -42,206,902,123 | p = 35020313330230179546864815519406651568763557582901698518966694217203 (225 bits) |
| h(D) = 21,168 | t = 11835592647642141548437786324118853 |
| y2 = x3− 3x + 21429193165744141193724499123928964252052626259798309439892734808110 | |
| File EC42206902123.txt | |
| D = -42,228,067,483 | p = 1906285311028986189027657977078833687247007164670345215275857582399357163 (241 bits) |
| h(D) = 32,880 | t = 2761365829461200665291843490587660143 |
| y2 = x3− 3x + 1689585947323021358476145459142375418693482789791695720860518971496082556 | |
| File EC42228067483.txt | |
| D = -43,171,313,563 | p = 259033959846562394650489477708619709768296650347852787128996718630003 (228 bits) |
| h(D) = 25,152 | t = 32189063971887246827239695753221253 |
| y2 = x3− 3x + 50119449885945144761156434130585051318959452198832457482049575460940 | |
| File EC43171313563.txt | |
| D = -43,211,683,483 | p = 54984284451644153054476797953984456787622129247610547932694512257796531643 (245 bits) |
| h(D) = 27,974 | t = 14830277738686373375235977775647811633 |
| y2 = x3− 3x + 36075200407907835721304809273836294289172255697510466515566821010338263088 | |
| File EC43211683483.txt | |
| D = -47,224,437,643 | p = 1722552449207734111767131364383940147214073042673617159711899061683 (221 bits) |
| h(D) = 21,976 | t = 2624920912490686155733547021645883 |
| y2 = x3− 3x + 972803419136800720544097657787139116279797062123027688842752443776 | |
| File EC47224437643.txt | |
| D = -62,270,945,707 | p = 571648550709346198478382885459231759169445159734441973438000037275803 (229 bits) |
| h(D) = 36,050 | t = 47818345881443711790637196734653153 |
| y2 = x3− 3x + 483639776860576735069421072880850625749821998933370370114049816467476 | |
| File EC62270945707.txt | |
| D = -63,485,071,747 | p = 6770130791774694540848516935471264461040561798527220129756300439923 (223 bits) |
| h(D) = 35,531 | t = 5203894999622761235886942247752453 |
| y2 = x3− 3x + 4733399178162931934378892264423999340487221381403530647679479110581 | |
| File EC63485071747.txt | |
| D = -75,864,433,243 | p = 11669108718073601694910611061194256404415641292633876545797582073644323 (233 bits) |
| h(D) = 26,065 | t = 216047297766702943735067975214608253 |
| y2 = x3− 3x + 7106948829367962651737217758206119854739779065878759286358810013215810 | |
| File EC75864433243.txt | |
| D = -81,426,169,267 | p = 7741381306413655884576577977915034877150140837226432761313422377397843 (233 bits) |
| h(D) = 35,414 | t = 175970239602197006096198680961145333 |
| y2 = x3− 3x + 3496840493291993750415270070813697736669412436800958628056358879097852 | |
| File EC81426169267.txt | |
| D = -92,945,701,267 | p = 58606251523528374674193413199102033192584135646535151269446839596016083 (236 bits) |
| h(D) = 40,624 | t = 484174561593350852797807791352055733 |
| y2 = x3− 3x + 7898404637013009073947532342975789552687993895880208281311583420143554 | |
| File EC92945701267.txt | |
| D = -99,043,620,043 | p = 19630401391769267528040326131052100554213998175439712660835701413395590067443 (254 bits) |
| h(D) = 34,472 | t = 280217068657633827072373503698125812933 |
| y2 = x3− 3x + 14717520906005012089897487183809343212697421396987293064119483998558902964523 | |
| File EC99043620043.txt | |
| D = -102,284,409,043 | p = 373115547537989111705391053244625577403767798886488797775778287092003 (228 bits) |
| h(D) = 47,092 | t = 38632398193122265016079961798352253 |
| y2 = x3− 3x + 180711824702205677791740256834776749136610521958501567706533251840958 | |
| File EC102284409043.txt | |
| D = -105,920,458,843 | p = 43347667453850334470701560503377719332401171969216299671443430279203 (225 bits) |
| h(D) = 54,872 | t = 13167789101265304586371498246323603 |
| y2 = x3− 3x + 40087867782445752672073394874588137894702721112527743015099277908797 | |
| File EC105920458843.txt | |
| D = -107,779,055,827 | p = 5791699700393784469732722495658852018150030162940219349475523600025883 (232 bits) |
| h(D) = 33,672 | t = 152206434823154365476257661289190433 |
| y2 = x3− 3x + 44009738400649256338864306594059948728119402564135023042610424326312 | |
| File EC107779055827.txt | |
| D = -110,865,016,507 | p = 19337286979901395377379596880284035576219206054231444708922990270429894083 (244 bits) |
| h(D) = 43,416 | t = 8794836435068339661197673951502176483 |
| y2 = x3− 3x + 7198967943664093960789714607735987467278881167785447886906429662284281021 | |
| File EC110865016507.txt | |
| D = -114,389,133,307 | p = 379380559503386907314797180195655619756944860617093891154685963315563 (228 bits) |
| h(D) = 28,144 | t = 38955387791851689244289768726304393 |
| y2 = x3− 3x + 319845625182418100785550901270093150939497674702416615399008369689985 | |
| File EC114389133307.txt | |
| D = -123,677,762,323 | p = 14619344973611650157138907992043442980596385841349066612643579521683 (224 bits) |
| h(D) = 40,454 | t = 7647050404858503391382811911642133 |
| y2 = x3− 3x + 3333938547352895528949557264574302813476139037846696035208836040595 | |
| File EC123677762323.txt | |
| D = -123,677,762,323 | p = 14619344973611650157138907992043442980596385841349066612643579521683 (224 bits) |
| h(D) = 40,454 | t = 7647050404858503391382811911642133 |
| y2 = x3− 3x + 3333938547352895528949557264574302813476139037846696035208836040595 | |
| File EC123677762323.txt | |
| D = -124,985,532,427 | p = 817902885968941719784749597952730386054609587934063609102014874413201763 (239 bits) |
| h(D) = 45,304 | t = 1808759670015827967664368552415406643 |
| y2 = x3− 3x + 799598078191747383432245635170341054512760799371908067841060056164297537 | |
| File EC124985532427.txt | |
| D = -137,486,872,147 | p = 123833391117752481091068869949072840074409811015358309384867101554153029323 (247 bits) |
| h(D) = 56,089 | t = 22256090502849100437387197596405609503 |
| y2 = x3− 3x + 62303478856929163494194821480893697935827888108316571785101216042978691805 | |
| File EC137486872147.txt | |
| D = -144,666,443,803 | p = 3571015157999358401809172641247223454264338200138540045417207405326463083 (242 bits) |
| h(D) = 52,908 | t = 3779425965936815861315471833429159983 |
| y2 = x3− 3x + 2433707345656945719831653803616538914488993741304066882243776157139099001 | |
| File EC144666443803.txt | |
| D = -172,449,579,883 | p = 6720677564558220637886530649017805270034715317415693542645762983803 (222 bits) |
| h(D) = 56,800 | t = 5184853928340979072557379852587153 |
| y2 = x3− 3x + 2104680364267836483525225219849964465961386930123903314018252251050 | |
| File EC172449579883.txt | |
| D = -218,603,020,483 | p = 16150741302827059458025692963269741853095705546192858990041235957994643 (234 bits) |
| h(D) = 55,072 | t = 254171133709766966983488294935795883 |
| y2 = x3− 3x + 8863823807067945544990377429260787336294815940302866101930907736288003 | |
| File EC218603020483.txt | |
| D = -222,790,745,323 | p = 12385486559960774683397767517205972542964559570182085095689790404951443 (233 bits) |
| h(D) = 60,324 | t = 222580201814633771199539191920400683 |
| y2 = x3− 3x + 1490991679926715342246535570799387284793110651181301420240258255198583 | |
| File EC222790745323.txt | |
| D = -222,932,121,523 | p = 1455854386722415743432230938564311712461743802948391722229266779203963 (230 bits) |
| h(D) = 49,920 | t = 76311319913166637441135148107633143 |
| y2 = x3− 3x + 472301085329579443974382360533227486773998045818042691986795561376409 | |
| File EC222932121523.txt | |
| D = -235,455,188,323 | p = 27307021806142337221300937934849547803425870941775752134400671191280846283 (244 bits) |
| h(D) = 76,188 | t = 10451224197411963895985784175585722783 |
| y2 = x3− 3x + 12437816496394582693354714324347013119477906365904005796107820124697587288 | |
| File EC235455188323.txt | |
| D = -258,618,421,483 | p = 99473739894528479421778655690686622222686462531902235341341951899003 (226 bits) |
| h(D) = 57,132 | t = 19947304569242279399019084668580753 |
| y2 = x3− 3x + 86404537425747994048161127426025998695817596551770244698366351011896 | |
| File EC258618421483.txt | |
| D = -259,056,933,307 | p = 56494592886078272119498878017518736740647765103289424219620409252283 (226 bits) |
| h(D) = 70,615 | t = 15032577009425665619046965124741783 |
| y2 = x3− 3x + 28398891479300826042764954985422291221027963377465808832614460285106 | |
| File EC259056933307.txt | |
| D = -271,913,410,027 | p = 109202931065046352122692945796807442252631437434406408498222480826483443 (236 bits) |
| h(D) = 85,902 | t = 660917335421144335178777866474068933 |
| y2 = x3− 3x + 83018638958170029587209794220887042129646804568485675449373475533873706 | |
| File EC271913410027.txt | |
| D = -272,507,658,283 | p = 69418170813692184541763997830310236049281462557998080495799925847245553764843 (256 bits) |
| h(D) = 72,900 | t = 526946565843984543721948430653206233583 |
| y2 = x3− 3x + 37906072963014418761012579067545315520242634797471123730841164525068988335311 | |
| File EC272507658283.txt | |
| D = -281,228,280,283 | p = 5625941063904877003826677872997566596597892360434310314437320142603 (222 bits) |
| h(D) = 64,802 | t = 4743813261040057847283915974202303 |
| y2 = x3− 3x + 4172162620331889690438401999823097963781860452270216552348292385938 | |
| File EC281228280283.txt | |
| D = -296,857,273,747 | p = 4033223007307908340732774595289268647377945445318910196629747046443 (222 bits) |
| h(D) = 58,816 | t = 4016577153402089618937966199139433 |
| y2 = x3− 3x + 505888442922429911238796460532791336693405654817522435103764242295 | |
| File EC296857273747.txt | |
| D = -322,147,410,427 | p = 972129487835059736013181504947748083848823215863216880051140746327204403 (240 bits) |
| h(D) = 77,284 | t = 1971932542289476733015172595299118203 |
| y2 = x3− 3x + 83285233964038854772473945984406762317855230635230329807281250755358903 | |
| File EC322147410427.txt | |
| D = -325,953,507,883 | p = 2125150705618281758702971559377348238684487292767400006244802495778727443 (241 bits) |
| h(D) = 87,356 | t = 2915579328790956947371090934164216683 |
| y2 = x3− 3x + 479550921268198749025673547595516301286736350107766396709795362112588276 | |
| File EC325953507883.txt | |
| D = -341,023,950,523 | p = 13760715237706312932092722191600240471707617556531268885433918206509456083 (243 bits) |
| h(D) = 62,136 | t = 7419087609054448396483945883171015733 |
| y2 = x3− 3x + 8364951930236562148432524027839623988551161791139424905949478369661230518 | |
| File EC341023950523.txt | |
| D = -357,641,057,107 | p = 18506495854708158345125653688354677726348572280364787146233817434228603 (234 bits) |
| h(D) = 76,720 | t = 272077164456763319489521518098321553 |
| y2 = x3− 3x + 14718845823242107534119781762429039474094161859692410123673278009697761 | |
| File EC357641057107.txt | |
| D = -371,905,000,603 | p = 1482246579793442264178706755589884283977050278485854284917898391084141203 (240 bits) |
| h(D) = 74,937 | t = 2434950989070163822034510785883634603 |
| y2 = x3− 3x + 394897554492053946966176773359660280141666802576204437172346185104993483 | |
| File EC371905000603.txt | |
| D = -378,408,782,107 | p = 207293158527594215399158906325170740994232674535983323404719427719990843 (237 bits) |
| h(D) = 78,539 | t = 910589168676180148202364753188954583 |
| y2 = x3− 3x + 48936027826535385154598200574970139319510277739152990928823590125960384 | |
| File EC378408782107.txt | |
| D = -394,604,625,187 | p = 5372837842372728584492078760175292139698950479201964233907736788123 (222 bits) |
| h(D) = 79,812 | t = 4635876548128834107377929772848353 |
| y2 = x3− 3x + 5226869086865269713344408372381521750245829515763661349393999850786 | |
| File EC394604625187.txt | |
| D = -397,614,252,523 | p = 99039034681221118740164317693588354144005907344408508868900461484386963 (236 bits) |
| h(D) = 85,693 | t = 629409357036328524076372691352271893 |
| y2 = x3− 3x + 45646967194391345014882598057509764781415529945181760976355758089421834 | |
| File EC397614252523.txt | |
| D = -403,043,622,763 | p = 1345262081927661505061607650390505474160391764595858835122239418394631603 (240 bits) |
| h(D) = 75,240 | t = 2319708673025698289753682832280758053 |
| y2 = x3− 3x + 953050278865996244692555675734414245016429684539034021237831067631756920 | |
| File EC403043622763.txt | |
| D = -404,316,355,243 | p = 2349945239496305284484281065992622470942809156487376507705857812363 (221 bits) |
| h(D) = 94,376 | t = 3065906221329220816181764405990143 |
| y2 = x3− 3x + 1320395203042932572051661344591951581710054371056110926099660658604 | |
| File EC404316355243.txt | |
| D = -405,854,131,147 | p = 40431763031420548379495252173002867749635036111185671162035322523043 (225 bits) |
| h(D) = 93,504 | t = 12717195135944175387621334219993533 |
| y2 = x3− 3x + 18167923887212208432919892351327561947250970642920882167131838137940 | |
| File EC405854131147.txt | |
| D = -426,147,664,123 | p = 1228162206741180816935675958888323022122845366218175511068998286907923 (230 bits) |
| h(D) = 92,978 | t = 70090290532745855267003157865252203 |
| y2 = x3− 3x + 55541393935851162233187700020856262937097885906632389336364781515211 | |
| File EC426147664123.txt | |
| D = -436,970,847,523 | p = 23008031558769161324736279254117232999220701872363505787849325861982688760443 (254 bits) |
| h(D) = 72,904 | t = 303367971669846263780844385703644988433 |
| y2 = x3− 3x + 7212494310457240293486422120225317153124357733206481314782549570819618467934 | |
| File EC436970847523.txt | |
| D = -438,182,716,867 | p = 296341449095803745748149156554902621073663753529100568232517444733042776163 (248 bits) |
| h(D) = 86,170 | t = 34429141673634778300289021014786142643 |
| y2 = x3− 3x + 4713134641905453849387759631172409853450667689681595900848561149306400320 | |
| File EC438182716867.txt | |
| D = -457,423,133,443 | p = 172739559214667455884225457177537777635616439961227237482604830731226723 (237 bits) |
| h(D) = 106,609 | t = 831238976984759674314856846025377053 |
| y2 = x3− 3x + 17107564441751852052171505911682612624752418025878261315331056262507859 | |
| File EC457423133443.txt | |
| D = -459,099,167,827 | p = 15737341718409696705520416581099358187938541497707087785944179915923 (224 bits) |
| h(D) = 95,207 | t = 7934063704914322580869315423794453 |
| y2 = x3− 3x + 8896531465962274700531657349408021344978657117505682097005692744977 | |
| File EC459099167827.txt | |
| D = -485,742,948,667 | p = 73285257460388840128772508291555212452367967324217684946499023777362363 (236 bits) |
| h(D) = 68,658 | t = 541424999276497538894245945366521393 |
| y2 = x3− 3x + 411055974246392130919794645026921941563612283119600219364343994402347 | |
| File EC485742948667.txt | |
| D = -529,167,219,067 | p = 2067496171175939157148079920166934790905929277653010135178179141212749363 (241 bits) |
| h(D) = 92,393 | t = 2875758106083290974923428120585473893 |
| y2 = x3− 3x + 271279754320517853215947924980035952630685359609939810212052497451807548 | |
| File EC529167219067.txt | |
| D = -546,354,937,363 | p = 2618562851303387688743963969292328588437182369636832120844443378463806311683 (251 bits) |
| h(D) = 80,390 | t = 102343790262104084118231819271653770883 |
| y2 = x3− 3x + 225695761917800943895818198936057251121331801087342614180460273457212999934 | |
| File EC546354937363.txt | |
| D = -548,774,355,643 | p = 22688574729139276962710743558516589870224307644853387735247953732421267958723 (254 bits) |
| h(D) = 101,890 | t = 301254541735982974459415759545243384803 |
| y2 = x3− 3x + 13607786670290435310099687327073611396365355474786695538541777637331024519465 | |
| File EC548774355643.txt | |
| D = -561,060,287,923 | p = 26951534931441333452775293421795803203230264882563362431689535908652987599683 (254 bits) |
| h(D) = 60,960 | t = 328338453011165498198556270436532222883 |
| y2 = x3− 3x + 4744297900063161509975017296289324778562145029704744299245963409049479087965 | |
| File EC561060287923.txt | |
| D = -606,064,670,707 | p = 10641290153419156186288795730575822028910366371003227229163620352804523 (233 bits) |
| h(D) = 121,128 | t = 206313258453441679786632582658794153 |
| y2 = x3− 3x + 4724976695011432340574037118606879387324574922914198707062928273036706 | |
| File EC606064670707.txt | |
| D = -628,084,895,707 | p = 1649854992835483232446547504299136553160389111324055112438691761203 (220 bits) |
| h(D) = 90,664 | t = 2568933625328208617044060280244603 |
| y2 = x3− 3x + 456580484931553907872047636620089937709251391892768916020831743093 | |
| File EC628084895707.txt | |
| D = -639,477,214,003 | p = 1201474366826483015910237518291311421935196422498813759911072112963 (220 bits) |
| h(D) = 112,959 | t = 2192235723480924407965607671786893 |
| y2 = x3− 3x + 1062042759881228936913419527059844596516325877548124146721438794512 | |
| File EC639477214003.txt | |
| D = -652,190,124,667 | p = 32073772717846584102546881551331913213062127941625263012990282996885429924203 (255 bits) |
| h(D) = 101,104 | t = 358183041015883855609365979636523977353 |
| y2 = x3− 3x + 25466266592813693589500495845476932747873988665882763684385308838442827421021 | |
| File EC652190124667.txt | |
| D = -660,489,903,187 | p = 302262812709621203750994807270566463869104102066351771918533502296763 (228 bits) |
| h(D) = 92,316 | t = 34771414277226125146214283455625393 |
| y2 = x3− 3x + 226796684631625311944244855641516134670390705825375397813321189714448 | |
| File EC660489903187.txt | |
| D = -674,576,925,883 | p = 6065742729259736209424054740882870971874547592875394266040624897643 (222 bits) |
| h(D) = 106,398 | t = 4925745721922615123746153308282633 |
| y2 = x3− 3x + 5187934530188537031693414930438986356241744464101315790783621724504 | |
| File EC674576925883.txt | |
| D = -690,090,276,307 | p = 28744660496855370448798022511716619003612467449078003886993185433262763 (235 bits) |
| h(D) = 121,283 | t = 339085007022459608181212883952744143 |
| y2 = x3− 3x + 4811922283601951915835331806807405631179783406077728775582967875446432 | |
| File EC690090276307.txt | |
| D = -711,513,888,067 | p = 55119432595102147161500602790032422743141768096963905478576500705988563 (235 bits) |
| h(D) = 101,403 | t = 469550562112759682559263623189171893 |
| y2 = x3− 3x + 5220709457302630142997211413791528553211101355249052293917196793777192 | |
| File EC711513888067.txt | |
| D = -730,369,058,827 | p = 8195166215739810158128324004332511835383370256099492034161234135852866163 (243 bits) |
| h(D) = 74,256 | t = 5725440145784360623762845609943967643 |
| y2 = x3− 3x + 8048611609801043331192426632292393842026588377397990163885488926656158518 | |
| File EC730369058827.txt | |
| D = -735,125,631,667 | p = 16752735121037973135375806839864671936692721718440715218199987395402206083 (244 bits) |
| h(D) = 82,384 | t = 8186021041027923753079347088833890733 |
| y2 = x3− 3x + 3028569280766715622928877780551404174708195869100159368348414648476743733 | |
| File EC735125631667.txt | |
| D = -757,552,418,827 | p = 4613681274536157609291679661717696718103563946417185427672319659123 (222 bits) |
| h(D) = 106,708 | t = 4295896309054098949640615260776603 |
| y2 = x3− 3x + 4417539299847335023529686473663798270029775249108257024271891027154 | |
| File EC757552418827.txt | |
| D = -776,648,522,203 | p = 21052121363128012011938410462958894270158773990198869855874998004883 (224 bits) |
| h(D) = 103,810 | t = 9176518155188930265496649431878933 |
| y2 = x3− 3x + 5067289727980049531145576758511937294724485441908079574739431971000 | |
| File EC776648522203.txt | |
| D = -951,784,972,387 | p = 244073911198776883337204347754766057619245553707476310839164739359963 (228 bits) |
| h(D) = 131,880 | t = 31245730024998736350917078459623143 |
| y2 = x3− 3x + 236080845440076401331231062665590854997803053505195711932019271136797 | |
| File EC951784972387.txt | |
| D = -955,087,079,467 | p = 21948381506099619580154987572031483607726236109625573767155685681958168026163 (254 bits) |
| h(D) = 145,688 | t = 296299723294502045879213486914200673893 |
| y2 = x3− 3x + 7290077661197659516837535970362724135450555987479020732692531898072960171140 | |
| File EC955087079467.txt | |
| D = -1,882,359,901,387 | p = 109855417317614207294022189107239380145543996394873521691477923195182984195043 (256 bits) |
| h(D) = 188,448 | t = 662888881540833228943229306406029485533 |
| y2 = x3− 3x + 94758013886579422163155941665968137032960821154449367171747667767405735466296 | |
| File EC1882359901387.txt |