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. Papers by Richard Borcherds - Including proof of the Moonshine Conjecture (TeX,DVI,PDF). Joseph Silverman - Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic of Elliptic Curves. Elliptic Curves and Formal Groups - Lecture notes from a seminar J. Lubin, J.-P. Serre and J. Tate. 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. ECDL Project - Elliptic Curve Discrete Logarithms Project. They solved ECC2K-108 in April 2000. History and related papers. 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. 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. 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. Iwasawa Theory of Elliptic Curves - Lecture notes and surveys by Ralph Greenberg, University of Washington (PS). On 5 and 7 Descents for Elliptic Curves - Tom Fisher's Ph.D. thesis (Cambridge, 2000) in DVI and PS format. Arithmetic of Cuves - Papers and surveys by Ed Schaefer. History of Elliptic Curve Rank Records - A table up to rank 24 compiled by Andrej Dujella. Elliptical Curve Cryptography - Explains the difference between an elliptical curve and an ellipse. Discusses fields, applications, choosing a fixed point, and related topics. 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 Satoh. Elliptic Functions and Elliptic Curves - Lecture notes by Jan Nekovář (PS/PDF). 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. Torsion Points on Elliptic Curves - Elementary introduction and brief explanation of some well-known results. Elliptic Curves Handout - Syllabus and detailed reading list by Miles Reid, University of Warwick. Richard Taylor - Publications including the joint paper with Andrew Wiles which completed the proof of Fermat's Last Theorem. Modular Forms Example Sheets - From a course on modular forms. Algorithms for Modular Elliptic Curves - Book by John Cremona, with introduction, tables and software. Explicit Approaches to Modular Abelian Varieties - William Stein, Ph.D. thesis, Berkeley, 2000. Elliptic Curves and Elliptic Functions - Introductory notes by Charles Daney.