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.
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- Ellipsa Includes Primo, an implementation of ECPP, and CPG, class polynomial builder.
- TECC Tiny Elliptic Curve Calculator, by Masanari Kida. Requires KASH 2.2.
- EIS Software for computing Fourier coefficients of Eisenstein series attached to lattices by M. Kuss and J. Bruinier. Binaries for x86-Linux.
- Heegner Tools Peter Green's Heegner Points package. Requires Linux and Pari/GP 2.1.1 or higher.
- Periods of Hilbert Modular Forms 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.