Journal of the Ramanujan Mathematical Society
Volume 29, Issue 3, September 2014 pp. 307–319.
Generators for congruent number curves of ranks at least two and three
Authors:
Yasutsugu Fujita
Author institution:College of Industrial Technology, Nihon University, 2-11-1 Shin-ei, Narashino, Chiba 275--8576, Japan
Summary:
In this paper, we study generators for the Mordell-Weil groups
EN(Q) of congruent number curves EN defined by
y2=x3-N2x for positive integers N. In fact, we give
generators for the rank two and three parts of EN(Q) for
infinitely many integers N.
Contents
Full-Text PDF