Directory of Tables Resources

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Databases, tables, and scripts to enumerate and classify elliptic curves.

Subcategories

• Software

Resources in This Category

• Best Known Conductors for Elliptic Curves of Given Rank

  http://tom.womack.net/maths/conductors.htm
  Up to rank 9, by Tom Womack.

• Classical Modular Polynomials

  http://www.math.uwaterloo.ca/~mrubinst/modularpolynomials/phi_l.html
  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

  http://www.math.chalmers.se/~sj/Maass/
  Tabulated by Stefan Lemurell.

• Elliptic Curve Data

  http://library.wolfram.com/infocenter/Demos/154/
  Tables of elliptic curves of small conductor in Mathematica format.

• Elliptic Curves with Unusual Torsion

  http://tom.womack.net/maths/torsion.htm
  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

  http://www.math.hr/~duje/tors/tors.html
  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

  http://www.math.hr/~duje/tors/generic.html
  Compiled by Andrej Dujella.

• Iwasawa Invariants of Elliptic Curves

  http://math.bu.edu/people/rpollack/Data/data.html
  For each curve (labelled as in Cremona) the mu and lambda-invariants are listed for the primes between 2 and 17. By Robert Pollack.

• Modular Polynomials

  http://matha.e-one.uec.ac.jp/~kida/modularpoly.html
  Tables and Maple software for modular polynomials of composite level by Masanari Kida.

• Mordell Curves

  http://www.tom.womack.net/maths/mordellc.htm
  Minimal known positive and negative k for Mordell curves (y^2=x^3+k) of given rank, by Tom Womack.

• Mordell Curves

  http://tnt.math.se.tmu.ac.jp/simath/MORDELL/
  Data on the elliptic curves Y^2 = X^3+k for |k|<10,000.

• Rational Points on Elliptic Curves

  http://www.asahi-net.or.jp/~KC2H-MSM/ec/eca1/index.htm
  A wide collection of known integer solutions to elliptic curves and their corresponding Diophantine equations, presented by Hisanori Mishima.

• Siegel Forms

  http://math.berkeley.edu/~reb/papers/siegel/
  Coefficients of some Siegel automorphic forms, by Richard Borcherds.

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