Proving the Birch and Swinnerton-Dyer conjecture for specific elliptic curves of analytic rank zero and one-Reference-Cited by-同舟云学术

Proving the Birch and Swinnerton-Dyer conjecture for specific elliptic curves of analytic rank zero and one

Published:2011-11-01 Issue: Volume:14 Page:327-350
ISSN:1461-1570
Container-title:LMS Journal of Computation and Mathematics
language:en
Short-container-title:LMS J. Comput. Math.

Author:

Miller Robert L.

Abstract

AbstractWe describe an algorithm to prove the Birch and Swinnerton-Dyer conjectural formula for any given elliptic curve defined over the rational numbers of analytic rank zero or one. With computer assistance we rigorously prove the formula for 16714 of the 16725 such curves of conductor less than 5000.

Publisher

Wiley

Subject

Computational Theory and Mathematics,General Mathematics

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