37.6 Elliptic curves over a general field

Module: sage.schemes.elliptic_curves.ell_field

Elliptic curves over a general field

Class: EllipticCurve_field

class EllipticCurve_field

Special Functions: _check_satisfies_equations

_check_satisfies_equations( self, v)

Verify that the coordinates of v = [a,b,c] define a point on this scheme, or raise a TypeError. Note that c is assumed to equal either 0 or 1.

sage: E = EllipticCurve('37a1')
sage: E._check_satisfies_equations([0,-1,0])
sage: E._check_satisfies_equations([0,1,0])
sage: E._check_satisfies_equations([0,0,0])
Traceback (most recent call last):
...
TypeError: coordinates [0, 0, 0] do not define a point on Elliptic Curve
defined by y^2 + y = x^3 - x over Rational Field

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