Elliptic Curves and Modular Forms
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.
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.
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 by to Takakazu Sato…
Course Notes
Full notes as .dvi, .pdf, and .ps files for all the advanced courses J. S. Milne taught between 1986 and 1999.
ECDL Project
Elliptic Curve Discrete Logarithms Project. They solved ECC2K-108 in April 2000. History and related papers.
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 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 Curves and Their Applications to Cryptography
Web text by Andreas Enge.
Elliptic Curves Handout
Syllabus and detailed reading list by Miles Reid, University of Warwick.
Elliptic Curves with H. A. Verrill
Lecture notes and resources by Helena Verrill, Louisiana State University, 2004.
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