Abstract
Let E be an elliptic curve defined over a number field F. The paper concerns the structure of the p∞-Selmer group of E over p-adic Lie extensions F∞ of F which are obtained by adjoining to F the p-division points of an abelian variety A defined over F. The main focus of the paper is the calculation of the Gal(F∞F)-Euler characteristic of the p∞-Selmer group of E. The main theory is illustrated with the example of an elliptic curve of conductor 294.
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