# ellCurve(Thing,Thing,Thing) -- A method for creating elliptic curves in short Weierstrass form.

## Synopsis

• Function: ellCurve
• Usage:
ellCurve(A,B,K)
• Inputs:
• A, , a coefficient in the field K
• B, , a coefficient in the field K
• K, , any field
• Outputs:

## Description

Returns an elliptic curve in short Weierstrass form given by the equation: y^2=x^3+Ax+B

 i1 : ellCurve(3,8,GF(13)) o1 = Elliptic Curve defined by Y^2 = X^3 + 3 X + (-5)( over(GF 13 .)) o1 : EllipticCurve