On Zagier's conjecture for base extensions of elliptic curves
  Let E be an elliptic curve over Q, and let F be a finite abelian extension of Q. Using Beilinson's theorem on a suitable modular curve, we prove a weak version of Zagier's conjecture for L(E/F,2), where E/F is the base extension of E to F. 
Fran\c{c}ois Brunault (UMPA-ENSL)
math.NT