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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Format: | Article |
Language: | English |
Published: |
Springer International Publishing,
2017-01-05T17:54:02Z.
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Online Access: | Get fulltext |