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The 2-primary torsion on elliptic curves in the Zp-extensions of Q

✍ Scribed by Yasutsugu Fujita


Publisher
Springer
Year
2005
Tongue
English
Weight
223 KB
Volume
118
Category
Article
ISSN
0025-2611

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πŸ“œ SIMILAR VOLUMES


Torsion subgroups of elliptic curves in
✍ Yasutsugu Fujita πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 217 KB

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

A remark on the torsion subgroups of ell
✍ Jasbir Singh Chahal πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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.