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2001 Elliptic Curves of High Rank with Nontrivial Torsion Group over $\Q$
Leopoldo Kulesz, Colin Stahlke
Experiment. Math. 10(3): 475-480 (2001).

Abstract

We construct elliptic curves over $\Q$ of high Mordell--Weil rank, with a nontrivial torsion subgroup. We improve the rank records for the cases $\Z/2\Z \times \Z/2\Z$, $\Z/3\Z$, $\Z/4\Z$, $\Z/5\Z$, $\Z/6\Z$, $\Z/7\Z$ and $\Z/8\Z$.

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Leopoldo Kulesz. Colin Stahlke. "Elliptic Curves of High Rank with Nontrivial Torsion Group over $\Q$." Experiment. Math. 10 (3) 475 - 480, 2001.

Information

Published: 2001
First available in Project Euclid: 25 November 2003

zbMATH: 1060.11036
MathSciNet: MR1917432

Rights: Copyright © 2001 A K Peters, Ltd.

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Vol.10 • No. 3 • 2001
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