Arithmetic of a singular K3 surface

Details Arithmetic of a singular K3 surface Arithmetic of a singular K3 surface

2006-05-20

arxiv.org/abs/math/0605560v3

Mathematics

Number Theory

12 pages, 2 figures; final version: two typos corrected, references updated

Scientific paper

This paper is concerned with the arithmetic of the elliptic K3 surface with
configuration [1,1,1,12,3*]. We determine the newforms and zeta-functions
associated to X and its twists. We verify conjectures of Tate and Shioda for
the reductions of X at 2 and 3.

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