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Top 20 Directory:
Top : Science : Math : Number_Theory : Elliptic_Curves_and_Modular_Forms : Tables
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  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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|<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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