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Science
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Math
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Number Theory
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Elliptic Curves and Modular Forms
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Software
Tables
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10 sites in Software
APECS
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FTP site for Ian McConnell's MAPLE programs.
ftp://ftp.math.mcgill.ca/pub/apecs
Code to Compute Heights on Elliptic Curves
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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.
http://www.institut.math.jussieu.fr/~...
EIS
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Software for computing Fourier coefficients of Eisenstein series attached to lattices by M. Kuss and J. Bruinier. Binaries for x86-Linux.
http://www.mathi.uni-heidelberg.de/~b...
Ellipsa
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Includes Primo, an implementation of ECPP, and CPG, class polynomial builder.
http://www.ellipsa.net/
Heegner Tools
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Peter Green's Heegner Points package. Requires Linux and Pari/GP 2.1.1 or higher.
http://www.math.mcgill.ca/darmon/prog...
Modular Forms Software
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HECKE can be used to compute basis of q-expansions and Hecke operators on fairly general spaces of modular forms.
http://modular.fas.harvard.edu/Tables...
Modular Quaternion Groups
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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.
http://www.geocities.com/assafwool/Qu...
MWRANK
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Mordell-Weil rank of elliptic curves over the rationals, by John Cremona.
http://www.maths.nott.ac.uk/personal/...
Periods of Hilbert Modular Forms
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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.
http://www.math.mcgill.ca/darmon/prog...
TECC
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Tiny Elliptic Curve Calculator, by Masanari Kida. Requires KASH 2.2.
http://matha.e-one.uec.ac.jp/~kida/TE...
See also
Science: Math: Number Theory: Software
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