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Explicit Classification for Torsion Subgroups of Rational Points of Elliptic Curves

โœ Scribed by De Rong Qiu; Xian Ke Zhang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2002
Tongue
English
Weight
159 KB
Volume
18
Category
Article
ISSN
1439-7617

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๐Ÿ“œ SIMILAR VOLUMES


A remark on the torsion subgroups of ell
โœ Jasbir Singh Chahal ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 138 KB

of the torsion subgroup of E(K), the group of K-rational points on an elliptic curve E defined over a number field k, with K quadratic over k.

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โœ Yasutsugu Fujita ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 217 KB

Let E be an elliptic curve over Q and let F := Q({ โˆš m ; m โˆˆ 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 .