Databases, tables, and scripts to enumerate and classify elliptic curves.

### Subcategories 1

### Related categories 2

### Sites 13

Best Known Conductors for Elliptic Curves of Given Rank

Up to rank 9, by Tom Womack.

Classical Modular Polynomials

Tables of modular polynomials Phi_l for prime l to 270, computed by Michael Rubinstein. Gzipped text and specially compressed formats.

Deformations of Maass Forms

Tabulated by Stefan Lemurell.

Elliptic Curve Data

Tables of elliptic curves of small conductor in Mathematica format.

Elliptic Curves with Unusual Torsion

Two tables: the smallest conductor observed for a given rank and torsion, and the smallest conductor observed among curves of rank zero with a given Sha and torsion. Maintained by Tom Womack.

High Rank Elliptic Curves with Prescribed Torsion

The highest rank currently known for an elliptic curve over Q with each of the possible torsion groups. Compiled by Andrej Dujella.

Infinite Families of Elliptic Curves with Prescribed Torsion

Compiled by Andrej Dujella.

Iwasawa Invariants of Elliptic Curves

For each curve (labelled as in Cremona) the mu and lambda-invariants are listed for the primes between 2 and 17. By Robert Pollack.

Modular Polynomials

Tables and Maple software for modular polynomials of composite level by Masanari Kida.

Mordell Curves

Minimal known positive and negative k for Mordell curves (y^2=x^3+k) of given rank, by Tom Womack.

Mordell Curves

Data on the elliptic curves Y^2 = X^3+k for |k|<10,000.

Rational Points on Elliptic Curves

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

Siegel Forms

Coefficients of some Siegel automorphic forms, by Richard Borcherds.

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August 25, 2016 at 5:45:10 UTC
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