Abstract
We consider a class of elliptic curves many of whose associated Shafarevich-Tate groups \sfSha/ are relatively large, and give examples of curves with $o(\sfSha/) = k^{2}$ for all $k \leq 100$.
Citation
Harvey E. Rose. "On some elliptic curves with large sha." Experiment. Math. 9 (1) 85 - 89, 2000.
Information
Published: 2000
First available in Project Euclid: 5 March 2003
zbMATH: 0983.11032
MathSciNet: MR1758802
Subjects:
Primary:
11G05
Keywords:
Elliptic curve
,
rank
Rights: Copyright © 2000 A K Peters, Ltd.