Tables Elliptic Curves and Modular Forms Number Theory Math

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.

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

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