EllipticCurveW -- The class of elliptic curves in Weierstrass form.

Functions and methods returning an object of class EllipticCurveW :

• ellCurveFromjInv -- A method to define an elliptic curve from a given j-invariant.

Methods that use an object of class EllipticCurveW :

• bruteForceGroupOrder(EllipticCurveW) -- A brute-force method to count the points on an elliptic curve in characteristic different from 2.
• bruteForceRationalPoints(EllipticCurveW) -- A brute-force method to list the points on an elliptic curve.
• Discriminant(EllipticCurveW) -- A method to compute the discriminant of an elliptic curve.
• EllipticCurveW == EllipticCurveW -- see EllipticCurve == EllipticCurve
• ellPoint(List,EllipticCurveW) -- A method for defining point on an elliptic curve.
• isOnEllCurve(List,EllipticCurveW) -- A method to check if a point is on an elliptic curve.
• jInvariant(EllipticCurveW) -- A method to compute the j-invariant of an elliptic curve.
• expression(EllipticCurveW) -- see net(EllipticCurve)
• net(EllipticCurveW) -- see net(EllipticCurve)
• toShortWForm(EllipticCurveW) -- see toShortWForm -- A method to transform an elliptic curve from Weierstrass form to short Weierstrass form.

For the programmer

The object EllipticCurveW is a type, with ancestor classes HashTable < Thing.