Article ID Journal Published Year Pages File Type
9496414 Journal of Number Theory 2005 11 Pages PDF
Abstract
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.
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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Torsion subgroups of elliptic curves in elementary abelian 2-extensions of Q
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