Denis Simon’s PARI scripts

sage.schemes.elliptic_curves.gp_simon.init()

Function to initialize the gp process

sage.schemes.elliptic_curves.gp_simon.simon_two_descent(E, verbose=0, lim1=None, lim3=None, limtriv=None, maxprob=20, limbigprime=30, known_points=[])

Interface to Simon’s gp script for two-descent.

Note

Users should instead run E.simon_two_descent()

EXAMPLES:

sage: import sage.schemes.elliptic_curves.gp_simon
sage: E=EllipticCurve('389a1')
sage: sage.schemes.elliptic_curves.gp_simon.simon_two_descent(E)
(2, 2, [(5/4 : 5/8 : 1), (-3/4 : 7/8 : 1)])