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310716 Elliptic Curves of Prime Conductor
- This Web site presents the 310,716 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.
Drinfeld Modules
- Complete tables of sign-normalized, rank one, Drinfeld modules on the elliptic curves over finite fields of order less than 16.
Elliptic Curves with Complex Multiplication
- defined over extensions of type (2,...,2). Tables by Joan-C. Lario.
Elliptic Curves with Unusual Torsion
- two tables: one gives the smallest conductor observed for a given rank and torsion, the other 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.
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".
MathSource: Elliptic Curve Data
- Tables of elliptic curves of small conductor in Mathematica format.
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.
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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