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