Mathematical Research Letters

Volume 10, Issue 6, November 2003 pp. 747-762.

Tamagawa factors for symmetric squares of Tate curves

Authors: Neil Dummigan
Author institution: University of Sheffield

Summary: We consider the $l$-part of the Bloch-Kato conjecture for $L(\mathrm {Sym}^2(E),2)$, where $E$ is an elliptic curve with multiplicative reduction at $l$. Determining the $l$-part of the Tamagawa factor at $l$ allows us to deduce a partial result and obtain some numerical evidence.

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