Elliptic Curves  
   Links to research papers maintained by Stéfane Fermigier.
   http://www.fermigier.com/fermigier/elliptic.html.en

Elliptic Curves and Formal Groups  
   Lecture notes from a seminar J. Lubin, J.-P. Serre and J. Tate.
   http://www.ma.utexas.edu/users/voloch/lst.html

Joseph Silverman  
   Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic of Elliptic Curves.
   http://www.math.brown.edu/~jhs/

ECMNET  
   The ECMNET Project to find large factors by the Elliptic Curve Method, mainly Cunningham numbers.
   http://www.loria.fr/~zimmerma/records/ecmnet.html

Course Notes  
   Full notes as .dvi, .pdf, and .ps files for all the advanced courses J. S. Milne taught between 1986 and 1999.
   http://www.jmilne.org/math/CourseNotes/

Elliptic Curves and Cryptology  
   Marc Joye's list of elliptic curve resources includes people, books, and links. Many preprints are available from the site.
   http://www.geocities.com/marcjoye/biblio_ell.html

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.
   http://tom.womack.net/maths/maths.htm

ECDL Project  
   Elliptic Curve Discrete Logarithms Project. They solved ECC2K-108 in April 2000. History and related papers.
   http://pauillac.inria.fr/~harley/ecdl/

Elliptic Curves II  
   Lecture notes by Johan P. Hansen.
   http://home.imf.au.dk/matjph/Ell-E99.html

Rational Points on Elliptic Curves  
   A course by Jerrold Tunnell. An introduction to rational points on elliptic curves through examples.
   http://www.math.rutgers.edu/~tunnell/math574.html

Elliptic Curves and Right Triangles  
   Slides (GIF) of lectures by Karl Rubin at Stanford University.
   http://math.stanford.EDU/~rubin/lectures/sumo/

Papers by Richard Borcherds  
   Including proof of the Moonshine Conjecture (TeX,DVI,PDF).
   http://math.berkeley.edu/~reb/papers/

Elliptic Curves Handout  
   Syllabus and detailed reading list by Miles Reid, University of Warwick.
   http://www.maths.warwick.ac.uk/~miles/MA426/

14H52: Elliptic Curves  
   From the Known Math series.
   http://www.math.niu.edu/~rusin/known-math/index/14H52.html

Algorithms for Modular Elliptic Curves  
   Book by John Cremona, with introduction, tables and software.
   http://www.maths.nott.ac.uk/personal/jec/book/chapter1.html

Modular Forms Example Sheets  
   From a course on modular forms.
   http://math.berkeley.edu/~reb/modularforms/

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.
   http://www.ams.org/notices/199911/comm-darmon.pdf

Monstrous Moonshine  
   the surprising and mysterious connections between the monster (and also other finite sporadic simple groups) and modular functions.
   http://cicma.concordia.ca/faculty/cummins/moonshine.html

Modularity of Elliptic Curves and Beyond  
   Workshop, MSRI Berkeley, 6-10 December 1999.
   http://www.msri.org/activities/events/9900/hottopics/

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.
   http://www.cms.math.ca/CMS/Events/winter98/w98-abs/node2.html

Bibliography for Automorphic and Modular Forms, L-Functions, Representations, and Number Theory  
   Compiled by Paul Garrett, 1996.
   http://www.math.umn.edu/~garrett/m/b/bib.html

Prime Values of Elliptic Divisibility Sequences  
   By Graham Everest.
   http://www.mth.uea.ac.uk/~h090/primeEDS.html

Modular Forms Course  
   Notes of a 1996 Berkeley course of Ken Ribet's on modular forms and Hecke operators.
   http://modular.fas.harvard.edu/Tables/Notes/

Elliptic Divisibility Sequences  
   Articles and links, compiled by Graham Everest.
   http://www.mth.uea.ac.uk/~h090/EDS.html

Explicit Approaches to Modular Abelian Varieties  
   William Stein, Ph.D. thesis, Berkeley, 2000.
   http://modular.fas.harvard.edu/papers/explicit/

Elliptic Curves and Elliptic Functions  
   Introductory notes by Charles Daney.
   http://cgd.best.vwh.net/home/flt/flt03.htm

Moonshine Bibliography  
   Books and papers relating to the Conway-Norton-Thompson Moonshine conjecture, proved by Richard Borcherds.
   http://cicma.concordia.ca/faculty/cummins/moonshine.refs.html

Iwasawa Theory of Elliptic Curves  
   Lecture notes and surveys by Ralph Greenberg, University of Washington (PS).
   http://www.math.washington.edu/~greenber/research.html

On 5 and 7 Descents for Elliptic Curves  
   Tom Fisher's Ph.D. thesis (Cambridge, 2000) in DVI and PS format.
   http://www.dpmms.cam.ac.uk/~taf1000/thesis.html

Modular Forms and Hecke Operators  
   Notes by William A. Stein of a course by Ken Ribet.
   http://modular.fas.harvard.edu/MF.html

Richard Taylor  
   Publications including the joint paper with Andrew Wiles which completed the proof of Fermat's Last Theorem.
   http://www.math.harvard.edu/~rtaylor/

Arithmetic of Cuves  
   Papers and surveys by Ed Schaefer.
   http://math.scu.edu/~eschaefe/nt.html

An Elementary Introduction to Elliptic Curves  
   By Len Charlap, David Robbins and Raymond Coley. Downloadable text in PostScript (.ps) format.
   http://www.idaccr.org/reports/reports.html

Torsion Points on Elliptic Curves  
   Elementary introduction and brief explanation of some well-known results.
   http://mat.uab.es/~xarles/elliptic.html

History of Elliptic Curve Rank Records  
   A table up to rank 24 compiled by Andrej Dujella.
   http://www.math.hr/~duje/tors/rankhist.html

Elliptical Curve Cryptography  
   Explains the difference between an elliptical curve and an ellipse. Discusses fields, applications, choosing a fixed point, and related topics.
   http://www.cryptoman.com/elliptic.htm

Elliptic Curves and Their Applications to Cryptography  
   Web text by Andreas Enge.
   http://www.lix.polytechnique.fr/Labo/Andreas.Enge/buch/buch/buch.html

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.
   http://www.math.jussieu.fr/~fouquet/elliptic.html

The Birch and Swinnerton-Dyer Conjecture  
   A Clay Mathematics Institute Prize problem, with description by Andrew Wiles [PDF] and lecture by Fernando Rodriguez-Villegas [.ram].
   http://www.claymath.org/millennium/Birch_and_Swinnerton-Dyer_Conjecture/

Elliptic Functions and Elliptic Curves  
   Lecture notes by Jan Nekovář (PS/PDF).
   http://www.math.jussieu.fr/~nekovar/co/ln/el/

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.
   http://math.berkeley.edu/~osserman/seminar/