Computer software (or simply software) is the programs and procedures that enable a computer to perform a specific task, as opposed to the physical components of the system (hardware). This includes application software such as a word processor, which enables a user to perform a task, and system software such as an operating system, which enables other software to run properly, by interfacing with hardware and with other software.
The term "software" was first used in this sense by John W. Tukey in 1957. In computer science and software engineering, computer software is all information processed by computer systems, programs and data. The concept of reading different sequences of instructions into the memory of a device to control computations was invented by Charles Babbage as part of his difference engine. The theory that is the basis for most modern software was first proposed by Alan Turing in his 1935 essay Computable numbers with an application to the Entscheidungsproblem. Hally, Mike (2005:79). Electronic brains/Stories from the dawn of the computer age. British Broadcasting Corporation and Granta Books, London. ISBN 1-86-207663-4.

APECS - FTP site for Ian McConnell's MAPLE programs.
Code to Compute Heights on Elliptic Curves - 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.
EIS - Software for computing Fourier coefficients of Eisenstein series attached to lattices by M. Kuss and J. Bruinier. Binaries for x86-Linux.
Ellipsa - Includes Primo, an implementation of ECPP, and CPG, class polynomial builder.
Meta Description: [ Ellipsa Homepage ]
Heegner Tools - Peter Green's Heegner Points package. Requires Linux and Pari/GP 2.1.1 or higher.
Modular Forms Software - HECKE can be used to compute basis of q-expansions and Hecke operators on fairly general spaces of modular forms.
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MWRANK - Mordell-Weil rank of elliptic curves over the rationals, by John Cremona.
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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.
TECC - Tiny Elliptic Curve Calculator, by Masanari Kida. Requires KASH 2.2.
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