A search for elliptic curves with large rank

Author:

Penney David E.,Pomerance Carl

Abstract

A search procedure is described for finding elliptic curves with rational coefficients for which the group of rational points has large rank. Specific examples are given of elliptic curves with rank 6 \geqq 6 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference3 articles.

1. Problèmes arithmétiques et géométriques rattachés à la notion de rang d’une courbe algébrique dans un corps;Néron, André;Bull. Soc. Math. France,1952

2. J. Tate, Rational Points on Elliptic Curves, Philips Lectures, Haverford College, 1961.

3. Über rationale Punkte auf Kurven dritter Ordnung vom Geschlechte Eins;Wiman, A.;Acta Math.,1948

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3. The Thirties;Springer Monographs in Mathematics;2012

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5. CONSTRUCTION OF ELLIPTIC-CURVES WITH LARGE RANK;MATH COMPUT;1986

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