EllipticCurve -- The class of elliptic curves in short Weierstrass form.

Functions and methods returning an object of class EllipticCurve:

• toShortWForm -- A method to transform an elliptic curve from Weierstrass form to short Weierstrass form.

Methods that use an object of class EllipticCurve:

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

For the programmer

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

The source of this document is in EllipticCurves.m2:518:0.