On Zagier's conjecture for base changes of elliptic curves
Doc. Math., J. DMV 18, 395-412 (2013)
Summary
Summary: 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 change of $E$ to $F$.