(1) Department of Mathematics, University of Wisconsin, Madison, Wisconsin, 53706
Abstract:
We prove a certain Calabi-Yau threefold is modular in the sense that the number of points on its reduction modulo p is expressed in terms of the pth coefficient of a weight 4 newform in S4(Γ0(6)). We also give a mod p2 combinatorial expression for these coefficients. 2000 Mathematics Subject Classification: 11G25, 11G40