On Zagier's conjecture for base extensions of elliptic curves
@article{Brunault2012OnZC, title={On Zagier's conjecture for base extensions of elliptic curves}, author={Franccois Brunault}, journal={arXiv: Number Theory}, year={2012} }
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.
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