The rational points on the Jacobians of modular curves
Sbornik. Mathematics, Tome 30 (1976) no. 4, pp. 478-500
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In this paper a theorem on the rank of the group of rational points of an Abelian variety with a sufficiently large ring of endomorphisms is proved. It is applied to construct nontrivial factors of the Jacobians of modular curves with finite groups of rational points and to prove finiteness theorems for modular curves.
Bibliography: 20 titles.
@article{SM_1976_30_4_a3,
author = {V. G. Berkovich},
title = {The rational points on the {Jacobians} of modular curves},
journal = {Sbornik. Mathematics},
pages = {478--500},
publisher = {mathdoc},
volume = {30},
number = {4},
year = {1976},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1976_30_4_a3/}
}
V. G. Berkovich. The rational points on the Jacobians of modular curves. Sbornik. Mathematics, Tome 30 (1976) no. 4, pp. 478-500. http://geodesic.mathdoc.fr/item/SM_1976_30_4_a3/