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Function

EllipticCurve ( elt-ord^rat q, list L ) -> grp^ell

Description

Constructs an elliptic curve over the finite field with q elements. If L has length 2, the curve is defined by the equation y^2 = x^3 + L[1]*x + L[2], if L has length 5, the curve is defined by the equation y^2 + L[1]*x*y + L[2]*y = x^3 + L[3]*x^2 + L[4]*x + L[5].

Examples

EC:= EllipticCurve(5,[1,2]);
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