Elliptic Curves over Real Quadratic Fields are Modular

Abstract

We prove that all elliptic curves defined over real quadratic fields are modular.

38 pages. Magma scripts available as ancillary files with this arXiv version

References in corpus (2)

• Modularity of nearly ordinary 2-adic residually dihedral Galois representations
• Finite Weil restriction of curves

Cited by in corpus (2)

• Theta Lifts of Bianchi Modular Forms and Applications to Paramodularity
• Criteria for irreducibility of mod p representations of Frey curves