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).