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

2016/01/20 by Jackson S. Morrow, Morrow, Jackson S.
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1601.05348

openalex publication_date 2016/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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