On Zagier's conjecture for base changes of elliptic curves
François Brunault
ENS Lyon, UMPA 46 allée d'Italie 69007 Lyon France
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Abstract
Let be an elliptic curve over Q, and let 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 , where is the base change of to .
Cite this article
François Brunault, On Zagier's conjecture for base changes of elliptic curves. Doc. Math. 18 (2013), pp. 395–412
DOI 10.4171/DM/404