Arithmetic of a singular K3 surface
Abstract
Description
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.
12 pages, 2 figures; final version: two typos corrected, references updated
12 pages, 2 figures; final version: two typos corrected, references updated