/************************************************************/ /* Author : Gonzalo Tornaria * Date : December 2003 * * * Data about real quadratic twists for elliptic curves of * prime conductor less than 500 and congruent to 3 mod 4. * * [ell, vec, qfs, aut] * * ell : elliptic curve data, as given in * vec : vector of coefficients * qfs : vector of ternary quadratic forms [a1,a2,a3,a23,a13,a12] * aut : vector of number of automorphisms of forms in qfs * * For the explicit formula for the central value of the L-series of * the (real) quadratic twists, see the file * * Based on joint work with Ariel Pacetti, in preparation. * * For PARI/GP routines to compute this data, see * * * TODO: more conductors, maybe up to 500 (a *LOT* of quadratic forms!) * * The actual data is in the file "tw_r.prime.1-500.gz" */ read("twist.gp"); extern("gzip -dc tw_r.prime.1-500.gz"); /************************************************************/ /* List of available data */ {tw_real=[ tw_11A_r, tw_19A_r, tw_43A_r, tw_67A_r, tw_79A_r, tw_83A_r, tw_131A_r, tw_139A_r, tw_163A_r, tw_179A_r, tw_307A_r, tw_307B_r, tw_307C_r, tw_307D_r, tw_331A_r, tw_347A_r, tw_359A_r, tw_359B_r, tw_431A_r, tw_431B_r, tw_443A_r, tw_443B_r, tw_443C_r, tw_467A_r ];} /************************************************************/