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Sponsored Links:
An Elementary Introduction to Elliptic Curves (Popularity: )
http://www.idaccr.org/reports/reports.html
By Len Charlap, David Robbins and Raymond Coley. Downloadable text in PostScript (.ps) format.
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Joseph Silverman (Popularity: )
http://www.math.brown.edu/~jhs/
Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic of Elliptic Curves.
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Rational Points on Elliptic Curves (Popularity: )
http://www.math.rutgers.edu/~tunnell/math574.html
A course by Jerrold Tunnell. An introduction to rational points on elliptic curves through examples.
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TECC (Popularity: )
http://matha.e-one.uec.ac.jp/~kida/TECC.html
Tiny Elliptic Curve Calculator, by Masanari Kida. Requires KASH 2.2.
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Elliptic Curves and Formal Groups (Popularity: )
http://www.ma.utexas.edu/users/voloch/lst.html
Lecture notes from a seminar J. Lubin, J.-P. Serre and J. Tate.
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Course Notes (Popularity: )
http://www.jmilne.org/math/CourseNotes/
Full notes as .dvi, .pdf, and .ps files for all the advanced courses J. S. Milne taught between 1986 and 1999.
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Papers by Richard Borcherds (Popularity: )
http://math.berkeley.edu/~reb/papers/
Including proof of the Moonshine Conjecture (TeX,DVI,PDF).
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Classical Modular Polynomials (Popularity: )
http://www.math.uwaterloo.ca/~mrubinst/modularpolynomials/phi_l.html
Tables of modular polynomials Phi_l for prime l to 270, computed by Michael Rubinstein. Gzipped text and specially compressed formats.
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Elliptic Curves II (Popularity: )
http://home.imf.au.dk/matjph/Ell-E99.html
Lecture notes by Johan P. Hansen.
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Algorithms for Modular Elliptic Curves (Popularity: )
http://www.maths.nott.ac.uk/personal/jec/book/chapter1.html
Book by John Cremona, with introduction, tables and software.
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Elliptic Curves and Right Triangles (Popularity: )
http://math.stanford.EDU/~rubin/lectures/sumo/
Slides (GIF) of lectures by Karl Rubin at Stanford University.
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Elliptic Curves Handout (Popularity: )
http://www.maths.warwick.ac.uk/~miles/MA426/
Syllabus and detailed reading list by Miles Reid, University of Warwick.
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High Rank Elliptic Curves with Prescribed Torsion (Popularity: )
http://www.math.hr/~duje/tors/tors.html
The highest rank currently known for an elliptic curve over Q with each of the possible torsion groups. Compiled by Andrej Dujella.
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Mathematical Things (Popularity: )
http://tom.womack.net/maths/maths.htm
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.
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History of Elliptic Curve Rank Records (Popularity: )
http://www.math.hr/~duje/tors/rankhist.html
A table up to rank 24 compiled by Andrej Dujella.
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Ellipsa (Popularity: )
http://www.ellipsa.net/
Includes Primo, an implementation of ECPP, and CPG, class polynomial builder.
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ECDL Project (Popularity: )
http://pauillac.inria.fr/~harley/ecdl/
Elliptic Curve Discrete Logarithms Project. They solved ECC2K-108 in April 2000. History and related papers.
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14H52: Elliptic Curves (Popularity: )
http://www.math.niu.edu/~rusin/known-math/index/14H52.html
From the Known Math series.
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Infinite Families of Elliptic Curves with Prescribed Torsion (Popularity: )
http://www.math.hr/~duje/tors/generic.html
Compiled by Andrej Dujella.
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Code to Compute Heights on Elliptic Curves (Popularity: )
http://www.institut.math.jussieu.fr/~girard/magma/anglais.html
Magma implementation of Silverman's algorithm to compute the canonical height on an elliptic curve over a number field or function field, by Martine Girard.
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