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Tables (19)
Databases, tables, and scripts to enumerate and classify elliptic curves.
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Sites
Infinite Families of Elliptic Curves with Prescribed Torsion
· cached · Compiled by Andrej Dujella.
Rational Points on Elliptic Curves
· cached · A wide collection of known integer solutions to elliptic curves and their corresponding Diophantine equations, presented by Hisanori Mishima.
Siegel Forms
· cached · Coefficients of some Siegel automorphic forms, by Richard Borcherds.
Drinfeld Modules
· cached · Complete tables of sign-normalized, rank one, Drinfeld modules on the elliptic curves over finite fields of order less than 16.
Elliptic Curves with Unusual Torsion
· cached · 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
· cached · The highest rank currently known for an elliptic curve over Q with each of the possible torsion groups. Compiled by Andrej Dujella.
Class Polynomials of CM-fields
· cached · Class polynomials of the principal orders up to discriminant -300000, giving values of the Weber invariants. By Annegret Weng.
Modular Forms Database
· Tables computed by William Stein using HECKE, LiDIA, PARI and Magma.
Best Known Conductors for Elliptic Curves of Given Rank
· cached · Up to rank 9, by Tom Womack.
Modular Polynomials
· cached · 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|<10,000.
Mordell Curves
· cached · Minimal known positive and negative k for Mordell curves (y^2=x^3+k) of given rank, by Tom Womack.
Deformations of Maass Forms
· cached · Tabulated by Stefan Lemurell.
Classical Modular Polynomials
· cached · Tables of modular polynomials Phi_l for prime l to 270, computed by Michael Rubinstein. Gzipped text and specially compressed formats.
MODI - Interactive Modular Forms Data Base
· cached · Data about modular forms which are computed on demand or taken from a data base of precomputed items, maintained by Nils-Peter Skoruppa.
Iwasawa Invariants of Elliptic Curves
· cached · For each curve (labelled as in Cremona) the mu and lambda-invariants are listed for the primes between 2 and 17. By Robert Pollack.
Elliptic Curve Data
· iweb · cached · Tables of elliptic curves of small conductor in Mathematica format.
Research Information - Larry Lehman
· cached · Includes a list of publications with abstracts, and tables of elliptic curves of small rank and various conductors.
Elliptic Curves with Complex Multiplication
· cached · Defined over extensions of type (2,...,2). Tables by Joan-C. Lario.
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