Bounded torsion of elliptic curves
Matematičeskie zametki, Tome 12 (1972) no. 1, pp. 53-58
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An explicit bound is obtained for the torsion of elliptic curves over the field of rational numbers. Let $\Gamma$ be an elliptic curve over the field of rational numbers $R$, and $Q_m$ a primitive $R$-point of order $m$ on it; here $m$ is a prime or a double prime. Hence if $m=2p$, then $p\leqslant509$, whereas if $m=p$, then $p<6144$.
@article{MZM_1972_12_1_a6,
author = {V. A. Dem'yanenko},
title = {Bounded torsion of elliptic curves},
journal = {Matemati\v{c}eskie zametki},
pages = {53--58},
year = {1972},
volume = {12},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a6/}
}
V. A. Dem'yanenko. Bounded torsion of elliptic curves. Matematičeskie zametki, Tome 12 (1972) no. 1, pp. 53-58. http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a6/