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This package provides some functions for computing elliptic integrals and elliptic functions. The basis for the computations is the arithmetic geometric mean, and the notation we use comes from the paper The arithogeometric mean, Archiv der Mathematik, volume 52, 1989, pages 507-512.



This documentation describes version 1.0 of EllipticIntegrals.

Source code

The source code from which this documentation is derived is in the file EllipticIntegrals.m2.


  • Types
    • EllipticCurve (missing documentation)
    • EllipticCurvePoint (missing documentation)
  • Functions and commands
    • distance (missing documentation)
  • Symbols
    • checkEquation (missing documentation)
    • modPeriods (missing documentation)
    • Period (missing documentation)
    • Period' (missing documentation)
    • periodCoordinates (missing documentation)
    • PointClass (missing documentation)
    • test (missing documentation)

For the programmer

The object EllipticIntegrals is a package.