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arXiv · 2209.02463

The Mordell-Weil lattice of an Inose surface arising from isogenous elliptic curves

Kazuki Utsumi
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Abstract

An elliptic K3 surface having two $II^{*}$ fibers is called the Inose surface. In this paper, we give a method to find a rational section of an Inose surface corresponding to an isogeny of general degree between two elliptic curves. In particular, we show examples of bases of the Mordell-Weil lattices of Inose surfaces arising from isogenies of degrees 5 and 6.

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Kazuki Utsumi. 2022-09-06. The Mordell-Weil lattice of an Inose surface arising from isogenous elliptic curves. https://arxiv.org/abs/2209.02463

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