Open Access
June 2008 Integral Points and the Rank of Elliptic Curves over Imaginary Quadratic Fields
Michitaka KOJIMA
Tokyo J. Math. 31(1): 175-184 (June 2008). DOI: 10.3836/tjm/1219844830

Abstract

One of Silverman's results gives a relationship between the number of integral points and the rank of elliptic curves over $\mathbb{Q}$. This paper generalizes this result for all imaginary quadratic fields.

Citation

Download Citation

Michitaka KOJIMA. "Integral Points and the Rank of Elliptic Curves over Imaginary Quadratic Fields." Tokyo J. Math. 31 (1) 175 - 184, June 2008. https://doi.org/10.3836/tjm/1219844830

Information

Published: June 2008
First available in Project Euclid: 27 August 2008

zbMATH: 1246.11118
MathSciNet: MR2426801
Digital Object Identifier: 10.3836/tjm/1219844830

Rights: Copyright © 2008 Publication Committee for the Tokyo Journal of Mathematics

Vol.31 • No. 1 • June 2008
Back to Top