Torsion subgroups of elliptic curves in
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Yasutsugu Fujita
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Article
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2005
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Elsevier Science
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English
β 217 KB
Let E be an elliptic curve over Q and let F := Q({ β m ; m β Z}). Laska and Lorenz showed that there exist at most 31 possibilities for the type of the torsion subgroup E(F ) tors of E over F. In this paper, we showed that there exist exactly 20 possibilities for E(F ) tors .