Geodesic
Some remarks on the torsion of elliptic curves
Sbornik. Mathematics, Tome 11 (1970) no. 2, pp. 283-289

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We prove the following. Theorem. {\it Let $k$ be a number field, and $J(n)$ the Jacobian of the curve parametrizing the elliptic curves with distinguished cyclic subgroups of order $n$. If the number $N$ is written as $n\cdot a,$ where $J(a)$ contains a $k$-simple abelian subvariety $A$ such that $$ \tau(n)\times\operatorname{rk}\operatorname{End}_k(A)>\operatorname{rk}A_k, $$ then the set of $k$-isomorphism classes of elliptic curves over the field $k$ possessing $k$-points of order $N$ is finite}. Bibliography: 4 titles. 
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     author = {M. E. Novodvorskii and I. I. Pyatetskii-Shapiro},
     title = {Some remarks on the torsion of elliptic curves},
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     volume = {11},
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     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1970_11_2_a11/}
}
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M. E. Novodvorskii; I. I. Pyatetskii-Shapiro. Some remarks on the torsion of elliptic curves. Sbornik. Mathematics, Tome 11 (1970) no. 2, pp. 283-289. http://geodesic.mathdoc.fr/item/SM_1970_11_2_a11/