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Category:  Science » Math » Number Theory » Elliptic Curves and Modular Forms SUGGEST CATEGORY  |  SUBMIT A SITE

Elliptic Curves and Modular Forms

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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.

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.



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.

TECC (Popularity: )
http://matha.e-one.uec.ac.jp/~kida/TECC.html
Tiny Elliptic Curve Calculator, by Masanari Kida. Requires KASH 2.2.



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.

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.

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

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.

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

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.

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

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

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.

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.

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.

Ellipsa (Popularity: )
http://www.ellipsa.net/
Includes Primo, an implementation of ECPP, and CPG, class polynomial builder.

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.

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

Infinite Families of Elliptic Curves with Prescribed Torsion (Popularity: )
http://www.math.hr/~duje/tors/generic.html
Compiled by Andrej Dujella.

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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