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Torsion groups of elliptic curves over quadratic cyclotomic fields in elementary abelian 2-extensions
Published 11 Feb 2016 in math.NT and math.AG | (1602.03582v3)
Abstract: Let K denote the quadratic field $\mathbb{Q}(\sqrt{d})$ where d=$-1$ or $-3$. Let E be an elliptic curve defined over K. In this paper, we analyze the torsion subgroups of E in the maximal elementary abelian $2$-extension of $K$.
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