an:03857282
Zbl 0539.14020
Dem'yanenko, V. A.
On the orders of torsion points of elliptic curves
RU
Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 121, 47-57 (1983).
00221101
1983
j
14H45 14H52 14K15 14G25
torsion points of third order; bounded torsion; elliptic curve
Let E be an elliptic curve defined over an algebraic number field K of degree n and class number h. The author concludes from the results of an earlier paper [cf. Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 82, 5-28 (1973; Zbl 0449.14004)] that if E(K) contains all points of second order and one point of fourth order then the K-torsion is bounded by a constant depending only on n and h. Similarly [cf. also Mat. Zametki 14, 827-832 (1973; Zbl 0284.14013)], the author proves that the same holds, if E(K) contains the points of third order.
G.Angerm??ller
Zbl 0449.14004; Zbl 0284.14013