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Databases, tables, and scripts to enumerate and classify elliptic curves.
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Infinite Families of Elliptic Curves with Prescribed Torsion - Compiled by Andrej Dujella. Rational Points on Elliptic Curves - A wide collection of known integer solutions to elliptic curves and their corresponding Diophantine equations, presented by Hisanori Mishima. Siegel Forms - Coefficients of some Siegel automorphic forms, by Richard Borcherds. 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. Best Known Conductors for Elliptic Curves of Given Rank - Up to rank 9, by Tom Womack. Modular Polynomials - Tables and Maple software for modular polynomials of composite level by Masanari Kida. Mordell Curves - Minimal known positive and negative k for Mordell curves (y^2=x^3+k) of given rank, by Tom Womack. Deformations of Maass Forms - Tabulated by Stefan Lemurell. Classical Modular Polynomials - Tables of modular polynomials Phi_l for prime l to 270, computed by Michael Rubinstein. Gzipped text and specially compressed formats. 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. Elliptic Curve Data - Tables of elliptic curves of small conductor in Mathematica format. Mordell Curves - Data on the elliptic curves Y^2 = X^3+k for |k|<10,000.
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