Geodesic
On the uniform boundedness of the torsion of elliptic curves over algebraic number fields
Izvestiya. Mathematics, Tome 6 (1972) no. 3, pp. 477-490 
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/
@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/}
}
TY  - JOUR
AU  - V. A. Dem'yanenko
TI  - On the uniform boundedness of the torsion of elliptic curves over algebraic number fields
JO  - Izvestiya. Mathematics
PY  - 1972
SP  - 477
EP  - 490
VL  - 6
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a1/
LA  - en
ID  - IM2_1972_6_3_a1
ER  - 
%0 Journal Article
%A V. A. Dem'yanenko
%T On the uniform boundedness of the torsion of elliptic curves over algebraic number fields
%J Izvestiya. Mathematics
%D 1972
%P 477-490
%V 6
%N 3
%U http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a1/
%G en
%F IM2_1972_6_3_a1

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Demyanenko V. A., “O kruchenii ellipticheskikh krivykh”, Izv. AN SSSR. Ser. matem., 35 (1971), 280–307

[2] Demyanenko V. A., “O tochkakh krucheniya ellipticheskikh krivykh”, Izv. AN SSSR. Ser. matem., 34 (1970), 757–775