A set of isogeny classes of elliptic curves of conductor up to 10^8

The format is N:hash:disc:ainvs:rank:torsion:cm where N is the conductor. hash is an isogeny class invariant (to avoid potential collisions, include N also). disc is the absolute minimal discriminant (divisible by N and supported on the same primes). ainvs is a list of 5 integers [a1,a2,a3,a4,a6] defining the elliptic curve y^2 + a1 xy + a3 y = x^3 + a2 x^2 + a4 x + a6 . rank is the Mordell-Weil rank (assuming GRH, and also BSD in 146 cases) torsionis the torsion subgroup (this probably should be ignored, since this is not an isogeny invariant and the file consists of isogeny class representatives). cm is 0 if the elliptic curve has endomorphism ring Z and otherwise is the discriminant of the imaginary quadratic order isomorphic to End (E_Qbar), one of −3, −4, −7, −8, −12, −16, −19, −27, −28, −43, −67, −163. The file is sorted on N,hash (this key is unique because they are isogeny class representatives).