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

- 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)

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