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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1972, Volume 12, Issue 1, Pages 53–58 (Mi mz9846)

Bounded torsion of elliptic curves

V. A. Dem'yanenko

Institute of Mathematics and Mechanics, Academy of Sciences of the USSR

Abstract: 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 $p<6144$.

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English version:
Mathematical Notes, 1972, 12:1, 464–466

Bibliographic databases:

UDC: 511

Citation: V. A. Dem'yanenko, “Bounded torsion of elliptic curves”, Mat. Zametki, 12:1 (1972), 53–58; Math. Notes, 12:1 (1972), 464–466

Citation in format AMSBIB
\Bibitem{Dem72} \by V.~A.~Dem'yanenko \paper Bounded torsion of elliptic curves \jour Mat. Zametki \yr 1972 \vol 12 \issue 1 \pages 53--58 \mathnet{http://mi.mathnet.ru/mz9846} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=447260} \zmath{https://zbmath.org/?q=an:0237.14011} \transl \jour Math. Notes \yr 1972 \vol 12 \issue 1 \pages 464--466 \crossref{https://doi.org/10.1007/BF01094392}