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Defined over extensions of type (2,...,2). Tables by Joan-C. Lario.
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Elliptic curves with complex multiplication M defined over extensions of type (2 2) Joan-C. Lario This horizontal page contains data on the finite set (up to isomorphism) of elliptic curves with complex multiplication defined over extensions of type (2 2 An elliptic curve over the...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".
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Elliptic Curve Data This site contains various data files concerning modular elliptic curves, in a standard format to make them easily readable by other programs. For a typeset version of the same data (with some extra data about local reduction data) for conductors...Compiled by Andrej Dujella.
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Infinite families of elliptic curves with high rank and prescribed torsion Infinite families of elliptic curves with high rank and prescribed torsion Maintained by Andrej Dujella, University of Zagreb Let T be an admissible torsion group for an elliptic curve over the rationals. Define G(T sup {rank E(Q(t torsion group of...A wide collection of known integer solutions to elliptic curves and their corresponding Diophantine equations, presented by Hisanori Mishima.
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Rational Points on Elliptic Curves This curve is the special case of the short Weierstrass form, y2 x3 ax b a=0 If b=0, the curve becomes singular (cusp By Hall's conjecture, if x, y are positive integers such that b=x3-y2 is nonzero, then |b eps...Coefficients of some Siegel automorphic forms, by Richard Borcherds.
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Siegel forms Tables of coefficients of some Siegel automorphic forms. A Siegel cusp form of degree 12 and weight 12 with E. Freitag, R. Weissauer tex dvi pdf Table of coefficients of Eisenstein series of weight 4 Table of coefficients of Eisenstein...Complete tables of sign-normalized, rank one, Drinfeld modules on the elliptic curves over finite fields of order less than 16.
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Tables of Drinfeld modules Drinfeld modules on the elliptic curves over finite fields of order less than 16 were computed by Dummit and Hayes (Mathematics of Computation, 62, 875-883) in 1994. These tables are available in two usable formats by anonymous ftp. The first...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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Elliptic curves with unusual torsion This page uses frames to provide a convenient way of viewing the explicit curve corresponding to specific table entries; your browser doesn't support frames, so click here to get to the main page...The highest rank currently known for an elliptic curve over Q with each of the possible torsion groups. Compiled by Andrej Dujella.
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High rank elliptic curves with prescribed torsion High rank elliptic curves with prescribed torsion Maintained by Andrej Dujella, University of Zagreb Let T be an admissible torsion group for an elliptic curve over the rationals. Define B(T sup {rank(E(Q torsion group of elliptic curve E over Q...Class polynomials of the principal orders up to discriminant -300000, giving values of the Weber invariants. By Annegret Weng.
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Class polynomials of CM-fields To ensure the security of the discrete logarithm problem on an elliptic curve one has to make sure that the group order contains a very large prime factor. This is a non-trivial problem.One of the most efficient ways to get...Tables computed by William Stein using HECKE, LiDIA, PARI and Magma.
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William A. Stein's Modular forms database You should instead visit my New Web Page at UCSD (you should be redirected The Modular Forms Database Related data about elliptic curves, abelian varieties, etc. William A. Stein Collection of Tables Related to Modular Forms, Elliptic Curves, and Abelian...Up to rank 9, by Tom Womack.
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Best known conductors for elliptic curves of given rank Best known conductors for elliptic curves of given rank The curves are given in the form [a1 a2 a3 a4 a6 There are four classes of curves here, which I've colour-coded in what I hope is a meaningful way: Green...Tables and Maple software for modular polynomials of composite level by Masanari Kida.
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Modular Polynomials Polynomials visitors since Sep. 18, 2000. This page links to the data of modular polynomials. There is also a Perl program mpoly.pl that generates a Maple program to use modular polynomial data. Now we have the data up to level...Data on the elliptic curves Y^2 = X^3+k for |k|<10,000.
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k 1 10000 k 1 10000...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.
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310716 Elliptic Curves of Prime Conductor Some additional materials are also given. The aim of the calculations was to explore the rank distribution of elliptic curves; those of prime conductor were chosen both because of their own interest, and because various computations are simpler for such...Minimal known positive and negative k for Mordell curves (y^2=x^3+k) of given rank, by Tom Womack.
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Minimal-known positive and negative k for Mordell curves of given rank. Mordell curves of given rank. The Mordell curve for a number k is just y2=x3+k. As in the conductor table, cells with a green background are known to be minimal, as a result of a search in the range -1000000...Tabulated by Stefan Lemurell.
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Deformation of Maass forms This page contains data of deformations of so called Maass forms. Before looking at the data it's wise to read this for a short explanation or this preprint for a more thorough explanation. Deformations of Maass forms related to Gamma_0(5...Tables of modular polynomials Phi_l for prime l to 270, computed by Michael Rubinstein. Gzipped text and specially compressed formats.
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phi_l Here are the coefficients for the classical modular polynomials phi_l, for all prime l The polynomials are available in one of two formats: 1) gzipped ASCII files containing, in decimal notation, the coefficients of the modular polynomials. Not intended for...Data about modular forms which are computed on demand or taken from a data base of precomputed items, maintained by Nils-Peter Skoruppa.
http://wotan.algebra.math.uni-siegen.de/%7emodi/
For each curve (labelled as in Cremona) the mu and lambda-invariants are listed for the primes between 2 and 17. By Robert Pollack.
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Iwasawa invariants of elliptic curves Iwasawa invariants of elliptic curves All computations have been done using MAGMA on William Stein's modular cluster. There are still some bugs in the programs computing this data so user beware! On this website are tables of Iwasawa invariants of...Tables of elliptic curves of small conductor in Mathematica format.
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Elliptic Curve Data from Mathematica Information Center Equations of some elliptic curves with small conductor. The names are those used in the Swinnerton-Dyer tables, from the Antwerp proceedings of the conference on modular forms, Volume 4, Lecture Notes in Mathematics 476. They are useful for experiments in...Includes a list of publications with abstracts, and tables of elliptic curves of small rank and various conductors.
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Research Information Larry Lehman Rational points on elliptic curves with complex multiplication by the ring of integers in Q(sqrt(-7 Journal of Number Theory. Volume 27, Number 3, November, 1987, pages 253-272. Let Ed be the elliptic curve y2 x3 21dx2 112d2 x with complex...