Directory of Software Resources

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The calculation of properties of elliptic curves such as their torsion groups, rank, and point counting on elliptic curves over finite fields is a highly non-trivial process. This category lists software programs written specifically to perform these calculations.

Subcategories

• Tables

Resources in This Category

• EIS

  http://www.mathi.uni-heidelberg.de/~bruinier/Readme.eis
  Software for computing Fourier coefficients of Eisenstein series attached to lattices by M. Kuss and J. Bruinier. Binaries for x86-Linux.

• Ellipsa

  http://www.ellipsa.eu/
  Includes Primo, an implementation of ECPP, and CPG, class polynomial builder.

• Heegner Tools

  http://www.math.mcgill.ca/darmon/programs/heegner/heegner.html
  Peter Green's Heegner Points package. Requires Linux and Pari/GP 2.1.1 or higher.

• Periods of Hilbert Modular Forms

  http://www.math.mcgill.ca/darmon/programs/logan/logan.html
  A package of PARI programs (v.2.1.1 or higher) for calculations described in "Periods of Hilbert modular forms and rational points on elliptic curves" by H. Darmon and A. Logan.

• TECC

  http://matha.e-one.uec.ac.jp/~kida/TECC.html
  Tiny Elliptic Curve Calculator, by Masanari Kida. Requires KASH 2.2.

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