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14H52: Elliptic Curves - From the Known Math series.
 
A Proof of the Full Shimura-Taniyama-Weil Conjecture - PDF-format article by Henri Darmon on the completion of the proof by Wiles, Breuil, Conrad, Diamond and Taylor.
 
Abstract Algebra - Course notes by J.S. Milne in DVI, PostScript and PDF including "Group Theory", "Fields and Galois Theory", "Algebraic Number Theory", "Class Field Theory", "Modular Functions and Modular Forms", "Elliptic Curves", "Algebraic Geometry", "Lectures on Etale Cohomology", and "Abelian Varieties".
 
Algorithms for Modular Elliptic Curves - Book by John Cremona, with introduction, tables and software.
 
An Elementary Introduction to Elliptic Curves - By Len Charlap, David Robbins and Raymond Coley. Downloadable text in PostScript (.ps) format.
 
Andreas Enge - Krypto - Includes the test of the author's introductory book to elliptic curves and their applications in cryptography.
 
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.
 
Bibliography for Automorphic and Modular Forms, L-Functions, Representations, and Number Theory - Compiled by Paul Garrett, 1996.
 
Counting Points on Elliptic Curves - Robert Harley, Pierrick Gaudry, François Morain and Mireille Fouquet have established new records for point counting in characteristic 2, using a new algorithm due to Takakazu Satoh.
 
David Pollack - The author's thesis "Explicit Hecke Actions on Modular Forms, Harvard, 1998" is available here in DVI form.
 
ECDL Project - Elliptic Curve Discrete Logarithms Project. They have just solved ECC2K-108.
 
ECMNET - Project to factor numbers using the elliptic curve method. Client and server software.
 
Elliptic Curves - Links to research papers maintained by Stéfane Fermigier.
 
Elliptic Curves II - Lecture notes by Johan P. Hansen.
 
Elliptic Curves and Cryptology - Marc Joye's list of elliptic curve resources includes people, books, and links. Many preprints are available from the site.
 
Elliptic Curves and Elliptic Functions - Introductory notes by Charles Daney.
 
Elliptic Curves and Formal Groups - Lecture notes from a seminar J. Lubin, J.-P. Serre and J. Tate.
 
Elliptic Curves and Right Triangles - Slides (GIF) of lectures by Karl Rubin at Stanford University.
 
Elliptic Divisibility Sequences - Articles and links, compiled by Graham Everest.
 
Explicit Approaches to Modular Abelian Varieties - William Stein, Ph.D. thesis, Berkeley, 2000.
 
 

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