Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Computing Mordell-Weil ranks of cyclic covers of elliptic surfaces

Author(s): Lisa A. Fastenberg
Journal: Proc. Amer. Math. Soc. 129 (2001), 1877-1883.
MSC (1991): Primary 14J27, 11G05
Posted: February 22, 2001
MathSciNet review: 1825893
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Abstract: We give explicit formulas for computing the Mordell-Weil ranks of the elliptic surfaces $E_{r}: Y^{2}=X^{3}+a(t^{r})X+b(t^{r})$ subject to some restrictions on the surface $E_{1}$ .

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