This directory contains magma source files related to the paper
"Modular curves of prime power level with infinitely many rational points",
by Andrew V. Sutherland and David Zywina.  These include:

GL2Invariants.m -- functions to compute various invariants of subgroups of GL(2,Z/NZ)
g0groups.m -- data and code related to the genus 0 admissible groups (of prime power level)
g1groups.m -- data and code related to the genus 1 admissible groups (of prime power level)
ModularFunctions.m -- code related to computing Siegel functions and Hauptmoduls
RationalFunctions.m -- code for computing and interpolating ratinoal functions
ComputeHauptmoduls.m -- computes the Hauptmoduls needed for the genus 0 admissible groups
JacobianRank.m -- code to compute the isogeny class and rank of X_G for admissible G of genus 1
Verifications.m -- code to verify all the computational assertions made in the paper
GaloisImages.m -- a complete list of the subgroups of GL(2,\hat{Z}) of prime power level
                  that occur as rho_E(G_Q) for infinitely many E/Q with distinct j(E)