Elliptic Curves are related to the solutions to equations y^2 = x^3 + A x + B in the field of rationals, algebraic extensions of the rationals, p-adic rational numbers, or a finite field. They are used in factorization of integers and also played a role in the recent resolution of the conjecture known as Fermat's Last Theorem.
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Book by John Cremona, with introduction, tables and software.
Compiled by Paul Garrett, 1996.
Full notes as .dvi, .pdf, and .ps files for all the advanced courses J. S. Milne taught between 1986 and 1999.
Elliptic Curve Discrete Logarithms Project. They solved ECC2K-108 in April 2000. History and related papers.
The ECMNET Project to find large factors by the Elliptic Curve Method, mainly Cunningham numbers.
Lecture notes from a seminar J. Lubin, J.-P. Serre and J. Tate.
Syllabus and detailed reading list by Miles Reid, University of Warwick.
William Stein, Ph.D. thesis, Berkeley, 2000.
A table up to rank 24 compiled by Andrej Dujella.
Lecture notes and surveys by Ralph Greenberg, University of Washington (PS).
Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic of Elliptic Curves.
From a course on modular forms.
Tom Fisher's Ph.D. thesis (Cambridge, 2000) in DVI and PS format.
Including proof of the Moonshine Conjecture (TeX,DVI,PDF).
Article by Henri Darmon on the completion of the proof by Wiles, Breuil, Conrad, Diamond and Taylor.
[PDF]
A course by Jerrold Tunnell. An introduction to rational points on elliptic curves through examples.
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.
Elementary introduction and brief explanation of some well-known results.
A table up to rank 24 compiled by Andrej Dujella.
William Stein, Ph.D. thesis, Berkeley, 2000.
From a course on modular forms.
Book by John Cremona, with introduction, tables and software.
Syllabus and detailed reading list by Miles Reid, University of Warwick.
Article by Henri Darmon on the completion of the proof by Wiles, Breuil, Conrad, Diamond and Taylor.
[PDF]
Compiled by Paul Garrett, 1996.
Tom Fisher's Ph.D. thesis (Cambridge, 2000) in DVI and PS format.
Lecture notes from a seminar J. Lubin, J.-P. Serre and J. Tate.
Elementary introduction and brief explanation of some well-known results.
Including proof of the Moonshine Conjecture (TeX,DVI,PDF).
Elliptic Curve Discrete Logarithms Project. They solved ECC2K-108 in April 2000. History and related papers.
Full notes as .dvi, .pdf, and .ps files for all the advanced courses J. S. Milne taught between 1986 and 1999.
Lecture notes and surveys by Ralph Greenberg, University of Washington (PS).
Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic 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.
A course by Jerrold Tunnell. An introduction to rational points on elliptic curves through examples.
The ECMNET Project to find large factors by the Elliptic Curve Method, mainly Cunningham numbers.
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