2006/05/20 by Matthias Schuett, Schuett, Matthias
Mathematics · #11F23 #11G25 #11G40 #14G10 #14J27 #14J28 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11F23 #msc:11G25 #msc:11G40 #msc:14G10 #msc:14J27 #msc:14J28
paper · pdf · doi:10.48550/arxiv.math/0605560
12 pages, 2 figures; final version: two typos corrected, references updated
arxiv created 2008/10/29 · arxiv updated 2009/12/01
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.