Computing Mordell-Weil ranks of cyclic covers of elliptic surfaces

Fastenberg, Lisa

doi:10.1090/S0002-9939-01-06152-4

Computing Mordell-Weil ranks of cyclic covers of elliptic surfaces
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by Lisa A. Fastenberg PDF

Proc. Amer. Math. Soc. 129 (2001), 1877-1883 Request permission

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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