On the uniform boundedness of the torsion of elliptic curves over algebraic number fields
Izvestiya. Mathematics, Tome 6 (1972) no. 3, pp. 477-490
In this paper we prove the uniform boundedness of the torsion of elliptic curves over algebraic number fields of fixed degree under the condition that their invariants belong to fields over which the rank of the curve $V^2=U^4-1$ is bounded.
@article{IM2_1972_6_3_a1,
author = {V. A. Dem'yanenko},
title = {On the uniform boundedness of the torsion of elliptic curves over algebraic number fields},
journal = {Izvestiya. Mathematics},
pages = {477--490},
year = {1972},
volume = {6},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a1/}
}
V. A. Dem'yanenko. On the uniform boundedness of the torsion of elliptic curves over algebraic number fields. Izvestiya. Mathematics, Tome 6 (1972) no. 3, pp. 477-490. http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a1/
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[2] Demyanenko V. A., “O tochkakh krucheniya ellipticheskikh krivykh”, Izv. AN SSSR. Ser. matem., 34 (1970), 757–775