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Tables
Directory > Science > Math > Number Theory > Elliptic Curves and Modular Forms > Tables

Web Sitesi

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.

http://abel.math.harvard.edu/~rpollack/Data/data.html
Reviews Rating: Not yet Rated Whois Check

310716 Elliptic Curves of Prime Conductor
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.

http://www.oisinmc.com/math/310716/
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Research Information - Larry Lehman
Includes a list of publications with abstracts, and tables of elliptic curves of small rank and
various conductors.

http://www1.mwc.edu/%7Ellehman/research.htm
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Mordell Curves
Data on the elliptic curves Y^2 = X^3+k for |k|<10,000.
http://tnt.math.metro-u.ac.jp/simath/MORDELL/
Reviews Rating: Not yet Rated Whois Check

Modular Polynomials
Tables and Maple software for modular polynomials of composite level by Masanari Kida.
http://matha.e-one.uec.ac.jp/~kida/modularpoly.html
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Best Known Conductors for Elliptic Curves of Given Rank
Up to rank 9, by Tom Womack.
http://tom.womack.net/maths/conductors.htm
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Modular Forms Database
Tables computed by William Stein using HECKE, LiDIA, PARI and Magma.
http://modular.fas.harvard.edu/Tables/
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Class Polynomials of CM-fields
Class polynomials of the principal orders up to discriminant -300000, giving values of the Weber
invariants. By Annegret Weng.

http://www.exp-math.uni-essen.de/zahlentheorie/classpol/class.html
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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.

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

http://tom.womack.net/maths/torsion.htm
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Drinfeld Modules
Complete tables of sign-normalized, rank one, Drinfeld modules on the elliptic curves over finite
fields of order less than 16.

http://www.math.umass.edu/~dhayes/dmods.html
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Siegel Forms
Coefficients of some Siegel automorphic forms, by Richard Borcherds.
http://www.math.berkeley.edu/~reb/papers/siegel/
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Rational Points on Elliptic Curves
A wide collection of known integer solutions to elliptic curves and their corresponding Diophantine
equations, presented by Hisanori Mishima.

http://www.asahi-net.or.jp/~KC2H-MSM/ec/eca1/index.htm
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MathSource: Elliptic Curve Data
Tables of elliptic curves of small conductor in Mathematica format.
http://www.mathsource.com/Content/Applications/Mathematics/0200-338
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Infinite Families of Elliptic Curves with Prescribed Torsion
Compiled by Andrej Dujella.
http://www.math.hr/~duje/tors/generic.html
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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".

http://www.maths.nott.ac.uk/personal/jec/ftp/data/INDEX.html
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Elliptic Curves with Complex Multiplication
Defined over extensions of type (2,...,2). Tables by Joan-C. Lario.
http://www-ma2.upc.es/~lario/ellipticm.htm
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