Elliptic Curves and Formal Groups - Lecture notes from a seminar J. Lubin, J.-P. Serre and J. Tate.

Joseph Silverman - Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic of Elliptic Curves.

ECMNET - The ECMNET Project to find large factors by the Elliptic Curve Method, mainly Cunningham numbers.

Course Notes - Full notes as .dvi, .pdf, and .ps files for all the advanced courses J. S. Milne taught between 1986 and 1999.

Publications of François Morain - Thesis and papers on elliptic curves, especially primality proofs and point counting.

Elliptic Curves and Cryptology - Marc Joye's list of elliptic curve resources includes people, books, and links. Many preprints are available from the site.

Mathematical Things - Tom Womack's pages address many elliptic curve subjects, including curves of given rank and small conductor, Mordell curves of large rank, and interesting torsion groups.

Andreas Enge - Krypto - Includes the text of the author's introductory book to elliptic curves and their applications in cryptography.

ECDL Project - Elliptic Curve Discrete Logarithms Project. They have just solved ECC2K-108.

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.

Modular Curves X_0(N) - A series of lectures by Bas Edixhoven at the ICTP Summer school on rational torsion of elliptic curves over number fields.

Elliptic Curves II - Lecture notes by Johan P. Hansen.

Rational Points on Elliptic Curves - A course by Jerrold Tunnell. An introduction to rational points on elliptic curves through examples.

Elliptic Curves and Right Triangles - Slides (GIF) of lectures by Karl Rubin at Stanford University.

Papers by Richard Borcherds - Including proof of the Moonshine Conjecture (TeX,DVI,PDF).

Satoh-FGH algorithm - Gonzalez and Harley explain Professor Satoh's elliptic curve point counting algorithm.

Elliptic Curves Handout - Syllabus and detailed reading list by Miles Reid, University of Warwick.

14H52: Elliptic Curves - From the Known Math series.

Algorithms for Modular Elliptic Curves - Book by John Cremona, with introduction, tables and software.

Modular Forms Example Sheets - From a course on modular forms.

Kolyvagin Seminar - A semester-long seminar studying Kolyvagin's application of Euler systems to elliptic curves. Includes extensive lecture notes in PostScript or DVI format.

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.

Monstrous Moonshine - the surprising and mysterious connections between the monster (and also other finite sporadic simple groups) and modular functions.

Modularity of Elliptic Curves and Beyond - Workshop, MSRI Berkeley, 6-10 December 1999.

The Birch and Swinnerton-Dyer Conjecture - A Clay Mathematics Institute Prize problem, with PDF description by Andrew Wiles. The conjecture addresses the problem of enumerating rational points, such as on elliptic curves.

Recent Progress in the Theory of Elliptic Curves - An abstract to Henri Darmon's and Bertolini's work, which approaches a p-adic variant of the Birch - Swinnerton-Dyer conjecture, for curves of rank higher than one.

Bibliography for Automorphic and Modular Forms, L-Functions, Representations, and Number Theory - Compiled by Paul Garrett, 1996.

Prime Values of Elliptic Divisibility Sequences - By Graham Everest.

Modular Forms Course - Notes of a 1996 Berkeley course of Ken Ribet's on modular forms and Hecke operators.

Elliptic Divisibility Sequences - Articles and links, compiled by Graham Everest.

An Elementary Introduction to Elliptic Curves - By Len Charlap, David Robbins and Raymond Coley. Downloadable text in PostScript (.ps) format.

Explicit Approaches to Modular Abelian Varieties - William Stein, Ph.D. thesis, Berkeley, 2000.

Elliptic Curves and Elliptic Functions - Introductory notes by Charles Daney.

Moonshine Bibliography - Books and papers relating to the Conway-Norton-Thompson Moonshine conjecture, proved by Richard Borcherds.

Elliptic Curves - Introductory material on elliptic curve cryptosystems.