Counting Points on Elliptic Curves (Popularity: )

Robert Harley, Pierrick Gaudry, François Morain and Mireille Fouquet have established new records for point ...

The Birch and Swinnerton-Dyer Conjecture (Popularity: )

A Clay Mathematics Institute Prize problem, with description by Andrew Wiles [PDF] and lecture by ...

Modular Forms Software (Popularity: )

HECKE can be used to compute basis of q-expansions and Hecke operators on fairly general ...

Elliptic Curves with Unusual Torsion (Popularity: )

Two tables: the smallest conductor observed for a given rank and torsion, and the smallest ...

Modular Forms Course (Popularity: )

Notes of a 1996 Berkeley course of Ken Ribet's on modular forms and Hecke operators.

Explicit Approaches to Modular Abelian Varieties (Popularity: )

William Stein, Ph.D. thesis, Berkeley, 2000.

Modular Quaternion Groups (Popularity: )

Fundamental domains for Shimura curves, written in GAP. Documented with description of algorithms used and ...

Arithmetic of Cuves (Popularity: )

Papers and surveys by Ed Schaefer.

Modular Forms Database (Popularity: )

Tables computed by William Stein using HECKE, LiDIA, PARI and Magma.

Heegner Tools (Popularity: )

Peter Green's Heegner Points package. Requires Linux and Pari/GP 2.1.1 or higher.

Best Known Conductors for Elliptic Curves of Given Rank (Popularity: )

Up to rank 9, by Tom Womack.

Elliptic Curves with Complex Multiplication (Popularity: )

Defined over extensions of type (2,...,2). Tables by Joan-C. Lario.

Rational Points on Elliptic Curves (Popularity: )

A wide collection of known integer solutions to elliptic curves and their corresponding Diophantine equations, ...

Code to Compute Heights on Elliptic Curves (Popularity: )

Magma implementation of Silverman's algorithm to compute the canonical height on an elliptic curve over ...

Elliptic Curves and Their Applications to Cryptography (Popularity: )

Web text by Andreas Enge.

Prime Values of Elliptic Divisibility Sequences (Popularity: )

By Graham Everest.

Deformations of Maass Forms (Popularity: )

Tabulated by Stefan Lemurell.

John Cremona's Elliptic Curve Data (Popularity: )

Various data files in a standard format to make them easily readable by other programs, ...

Torsion Points on Elliptic Curves (Popularity: )

Elementary introduction and brief explanation of some well-known results.

Periods of Hilbert Modular Forms (Popularity: )

A package of PARI programs (v.2.1.1 or higher) for calculations described in "Periods of Hilbert ...