The zeta-function of elliptic curves over certain Abelian extensions of imaginary quadratic fields
Sbornik. Mathematics, Tome 31 (1977) no. 1, pp. 49-62

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For certain elliptic curves defined over an imaginary quadratic field, the value at one of the canonical $L$-series of these curves with explicit Dirichlet characters of the ground field is proved to equal zero. Bibliography: 9 titles.
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P. F. Kurchanov. The zeta-function of elliptic curves over certain Abelian extensions of imaginary quadratic fields. Sbornik. Mathematics, Tome 31 (1977) no. 1, pp. 49-62. http://geodesic.mathdoc.fr/item/SM_1977_31_1_a3/