On Some Elliptic Curves with Large Sha

We consider a class of elliptic curves many of whose associated Shafarevich-Tate groups are relatively large, and give examples of curves with o( ) = k 2 for all k ≤ 100.

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Bibliographic Details
Published inExperimental mathematics Vol. 9; no. 1; pp. 85 - 89
Main Author Rose, Harvey E.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.01.2000
A K Peters, Ltd
Subjects
11G05
Elliptic curve
rank
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Summary:We consider a class of elliptic curves many of whose associated Shafarevich-Tate groups are relatively large, and give examples of curves with o( ) = k 2 for all k ≤ 100.
ISSN:1058-6458
1944-950X
DOI:10.1080/10586458.2000.10504638