paper

Modular forms and K3 surfaces

arXiv:0809.0830

Abstract

For every known Hecke eigenform of weight 3 with rational eigenvalues we exhibit a K3 surface over QQ associated to the form. This answers a question asked independently by Mazur and van Straten. The proof builds on a classification of CM forms by the second author.

29 pages; v4: few typos corrected