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Tables Elliptic Curves and Modular Forms Number Theory


Tables Elliptic Curves and Modular Forms Number Theory

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Top: Science: Math: Number_Theory: Elliptic_Curves_and_Modular_Forms: Tables:


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  • - The highest rank currently known for an elliptic curve over Q with each of the possible torsion groups. Compiled by Andrej Dujella.
  • - Complete tables of sign-normalized, rank one, Drinfeld modules on the elliptic curves over finite fields of order less than 16.
  • - Up to rank 9, by Tom Womack.
  • - Coefficients of some Siegel automorphic forms, by Richard Borcherds.
  • - For each curve (labelled as in Cremona) the mu and lambda-invariants are listed for the primes between 2 and 17. By Robert Pollack.
  • - Tables computed by William Stein using HECKE, LiDIA, PARI and Magma.
  • - 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.
  • - Compiled by Andrej Dujella.
  • - Defined over extensions of type (2,...,2). Tables by Joan-C. Lario.
  • - 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.
  • - 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".
  • - Includes a list of publications with abstracts, and tables of elliptic curves of small rank and various conductors.
  • - Tabulated by Stefan Lemurell.
  • - Tables of elliptic curves of small conductor in Mathematica format.
  • - Data about modular forms which are computed on demand or taken from a data base of precomputed items, maintained by Nils-Peter Skoruppa.
  • - Minimal known positive and negative k for Mordell curves (y^2=x^3+k) of given rank, by Tom Womack.
  • - A wide collection of known integer solutions to elliptic curves and their corresponding Diophantine equations, presented by Hisanori Mishima.
  • - Class polynomials of the principal orders up to discriminant -300000, giving values of the Weber invariants. By Annegret Weng.
  • - Tables of modular polynomials Phi_l for prime l to 270, computed by Michael Rubinstein. Gzipped text and specially compressed formats.
  • - Tables and Maple software for modular polynomials of composite level by Masanari Kida.



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