In this paper we prove the simultaneous potential modularity for a finite number of elliptic curves defined over a totally real field. As an application we prove the meromorphic continuation of some L-functions associated to elliptic curves and Tate conjecture for a product of 2 or 4 elliptic curves defined over a totally real field.
|Number of pages||6|
|Journal||Journal of Number Theory|
|Publication status||Published - 2009 Dec|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory