• Corpus ID: 15361296

On Zagier's conjecture for base extensions of elliptic curves

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