Surf these sites: A proof of the full Shimura-Taniyama-Weil conjecture -- article by Henri Darmon on the completion of the proof by Wiles, Breuil, Conrad, Diamond and Taylor Algorithms for Modular Elliptic Curves -- the introduction to John Cremona''s book, with links to tables and software Automorphic Forms and Representations Virtual Study Group -- This virtual study group will explore the Langland''s Program by reading Automorphic Form and Representations by Daniel Bump. David Pollack thesis -- Explicit Hecke Actions on Modular Forms, Harvard, 1998 ECDL Project -- Elliptic Curve Discrete Logarithms Project. They have just solved ECC2-97 and are planning to attack ECC2K-108. ECMNET -- The ECMNET Project to find large factors by the Elliptic Curve Method, mainly Cunningham numbers. Elliptic Curves -- Links to people, publications and software by Marc Joye Elliptic Curves II -- lecture notes by Johan P. Hansen Elliptic Curves and Elliptic Functions -- Introduction to the mathemathics, not directly crypto related. Elliptic curves -- Links to research papers maintained by Stéfane Fermigier Elliptic curves and formal groups -- Lecture notes from a seminar J. Lubin, J.-P. Serre and J. Tate. Elliptic curves with complex multiplication -- defined over extensions of type (2,...,2). Tables by Joan-C. Lario Elliptische Kurven über den rationalen Zahlen -- die Vermutung von Birch und Swinnerton-Dyer. Seminar über Zahlentheorie, Bonn 1999 HECKE: The Modular Forms Calculator -- HECKE is a program for computing with modular forms. It can be used to compute basis of q-expansions and hecke operators on fairly general spaces of modular forms. John Cremona''s 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. Extends and corrects the tables in his book "Algorithms for Elliptic Curves". Joseph Silverman home page -- Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic of Elliptic Curves. Ken Ribet''s Modular Forms Course -- notes of a 1996 Berkeley course of Ken Ribet''s on modular forms and Hecke operators MODI -- a collection of formulae and data in the theory of automorphic forms or its applications. You can immediately apply most formulae interactively, or ask for an excerpt from the available data bases. MathSource: Elliptic Curve Data -- Tables of elliptic curves of small conductor in Mathematica format Modular Forms -- from Eric Weisstein''s World of Mathematics Modular Forms database -- Tables computed by William Stein using HECKE, PARI and Magma. Modularity of Elliptic Curves and Beyond -- Workshop, MSRI Berkeley, 6-10 December1999 Prime number verification via ECPP -- An interactive page for Elliptic Curve Primality Proving Problem sheets -- from a course on modular forms Publications of François Morain -- Thesis and papers on elliptic curves, especially primality proofs and point counting Rational points on elliptic curves -- A course by Jerrold Tunnell. An introduction to rational points on elliptic curves through examples of interesting elliptic curves. Siegel forms -- Tables of coefficients of some Siegel automorphic forms, by Richard Borcherds Tables of Drinfeld modules -- Complete tables of sign-normalized, rank one, Drinfeld modules on the elliptic curves over finite fields of order less than 16 Tables of cusp forms of weight 3/2 -- Obtained via ternary quadratic forms which are eigenvectors, with rational eigenvalues, under all Hecke operators The ECPP home page -- A fast general-purpose primality proving package by François Morain. The modular curves X0(N) -- A series of lectures by Bas Edixhoven at the ICTP Summer school on rational torsion of elliptic curves over number fields
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