Three elliptic curves with rank at least seven-Reference-Cited by-同舟云学术

Three elliptic curves with rank at least seven

Published:1975 Issue:131 Volume:29 Page:965-967
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Penney David E.,Pomerance Carl

Abstract

Three rational elliptic curves whose ranks are at least 7 are exhibited. The arithmetical details are given for one of the curves, namely y 2 = x 3 + 1692602 x 2 − 530052723915 x {y^2} = {x^3} + 1692602{x^2} - 530052723915x .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1975-29-131/S0025-5718-1975-0376687-2/S0025-5718-1975-0376687-2.pdf

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. A search for elliptic curves with large rank;Penney, David E.;Math. Comp.,1974

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

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