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The Mordell-Weil lattice of an Inose surface arising from isogenous elliptic curves (2209.02463v2)
Published 6 Sep 2022 in math.AG
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.