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:
  • an instance of the type EllipticCurve

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