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

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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},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a1/}
}
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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/