Generalised Kummer constructions and Weil restrictions
arXiv:0710.4565
Abstract
We use a generalised Kummer construction to realise all but one known weight four newforms with complex multiplication and rational Fourier coefficients in smooth Calabi-Yau threefolds defined over the rational numbers. The Calabi-Yau manifolds are smooth models of quotients of the Weil restrictions of elliptic curves with CM of class number three.
12 pages; v2: added references, minor changes