A criterion to rule out torsion groups for elliptic curves over number fields

We present a criterion for proving that certain groups of the form \(\mathbb {Z}/m\mathbb {Z}\oplus \mathbb {Z}/n\mathbb {Z}\) do not occur as the torsion subgroup of any elliptic curve over suitable (families of) number fields. We apply this criterion to eliminate certain groups as torsion groups o...

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Bibliographic Details
Main Authors: Bruin, Peter, Najman, Filip
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer International Publishing 2017
Online Access:http://hdl.handle.net/1721.1/106205

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