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Computing Mordell-Weil ranks of cyclic covers of elliptic surfaces

Authors:	Lisa A Fastenberg

Institution:	Department of Mathematics, Yeshiva University, New York, New York 10033

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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