Software Elliptic Curves and Modular Forms Number Theory

Computers

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Top: Science: Math: Number_Theory: Elliptic_Curves_and_Modular_Forms: Software:

• Top/Science/Math/Number Theory/Software

• - Magma implementation of Silverman's algorithm to compute the canonical height on an elliptic curve over a number field or function field, by Martine Girard.
  
• - 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.
  
• - Fundamental domains for Shimura curves, written in GAP. Documented with description of algorithms used and program structure, input and output. Results for quaternion algebras with discriminant up to 100.
  
• - Software for computing Fourier coefficients of Eisenstein series attached to lattices by M. Kuss and J. Bruinier. Binaries for x86-Linux.
  
• - Includes Primo, an implementation of ECPP, and CPG, class polynomial builder.
  
• - HECKE can be used to compute basis of q-expansions and Hecke operators on fairly general spaces of modular forms.
  
• - Peter Green's Heegner Points package. Requires Linux and Pari/GP 2.1.1 or higher.
  
• - Mordell-Weil rank of elliptic curves over the rationals, by John Cremona.
  
• - Tiny Elliptic Curve Calculator, by Masanari Kida. Requires KASH 2.2.
  
• - FTP site for Ian McConnell's MAPLE programs.