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Selmer groups of twists of elliptic curves over K with K-rational torsion points

We generalize a result of Frey [Fre88] on the Selmer group of twists of elliptic curves over Q with Q-rational torsion points to elliptic curves defined over number fields of small degree K with a K-rational point. We also provide examples of elliptic curves coming from [Zyw15] that satisfy the conditions of our Theorem B.

preprint2016arXivOpen access
Jackson S. Morrow
math.NT
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Jackson S. Morrow

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