✦ LIBER ✦

Torsion subgroups of elliptic curves in elementary abelian 2-extensions of

✍ Scribed by Yasutsugu Fujita

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 217 KB
Volume: 114
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2005.03.005

No coin nor oath required. For personal study only.

✦ Synopsis

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 .

📜 SIMILAR VOLUMES

A remark on the torsion subgroups of ell

A remark on the torsion subgroups of elliptic curves

✍ Jasbir Singh Chahal 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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.

The 2-primary torsion on elliptic curves

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

✍ Yasutsugu Fujita 📂 Article 📅 2005 🏛 Springer 🌐 English ⚖ 223 KB

Elliptic curves and their torsion subgro

Elliptic curves and their torsion subgroups over number fields of type (2, 2, ..., 2)

✍ Derong Qiu; Xianke Zhang 📂 Article 📅 2001 🏛 SP Science China Press 🌐 English ⚖ 492 KB

Explicit Classification for Torsion Subg