Tables :: Number Theory
Tables :: Reference

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310716 Elliptic Curves of Prime Conductor - The elliptic curves of prime conductor less than 10^8 found during computations performed at Fordham University during 1989 and 1990. Some additional materials are also given.
Best Known Conductors for Elliptic Curves of Given Rank - Up to rank 9, by Tom Womack.
Class Polynomials of CM-fields - Class polynomials of the principal orders up to discriminant -300000, giving values of the Weber invariants. By Annegret Weng.
Meta Description: [ Hier eine kurze Beschreibung rein! ]
Classical Modular Polynomials - Tables of modular polynomials Phi_l for prime l to 270, computed by Michael Rubinstein. Gzipped text and specially compressed formats.
Meta Description: [ modular polynomials. ]
Deformations of Maass Forms - Tabulated by Stefan Lemurell.
Drinfeld Modules - Complete tables of sign-normalized, rank one, Drinfeld modules on the elliptic curves over finite fields of order less than 16.
Elliptic Curve Data - Tables of elliptic curves of small conductor in Mathematica format.
Meta Description: [ Equations of some elliptic curves with small conductor. The names are those used in the Swinnerton-Dyer tables, from the Antwerp proceedings of the conference on modular forms, Volume 4, Lecture Notes in Mathematics 476. They are useful for experiments in number theory. ]
Elliptic Curves with Complex Multiplication - Defined over extensions of type (2,...,2). Tables by Joan-C. Lario.
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.
Meta Description: [ Table of elliptic curves with
largest known ranks for curves with given torsion group ]
Infinite Families of Elliptic Curves with Prescribed Torsion - Compiled by Andrej Dujella.
Meta Description: [ Tables with currents records
for generic ranks of elliptic curves with given torsion group ]
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.
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John Cremona's Elliptic Curve Data - Various data files in a standard format to make them easily readable by other programs, extending and correcting the tables in his book Algorithms for Elliptic Curves
MODI - Interactive Modular Forms Data Base - Data about modular forms which are computed on demand or taken from a data base of precomputed items, maintained by Nils-Peter Skoruppa.
Modular Forms Database - Tables computed by William Stein using HECKE, LiDIA, PARI and Magma.
Modular Polynomials - Tables and Maple software for modular polynomials of composite level by Masanari Kida.
Mordell Curves - Data on the elliptic curves Y^2 = X^3+k for |k|lt;10,000.
Mordell Curves - Minimal known positive and negative k for Mordell curves (y^2=x^3+k) of given rank, by Tom Womack.
Rational Points on Elliptic Curves - A wide collection of known integer solutions to elliptic curves and their corresponding Diophantine equations, presented by Hisanori Mishima.
Research Information - Larry Lehman - Includes a list of publications with abstracts, and tables of elliptic curves of small rank and various conductors.
Siegel Forms - Coefficients of some Siegel automorphic forms, by Richard Borcherds.
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