Torsion groups of elliptic curves over quadratic cyclotomic fields in elementary abelian 2-extensions

Ozlem Ejder

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arXiv · 1602.03582

Torsion groups of elliptic curves over quadratic cyclotomic fields in elementary abelian 2-extensions

Ozlem Ejder

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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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Ozlem Ejder. 2016-02-11. Torsion groups of elliptic curves over quadratic cyclotomic fields in elementary abelian 2-extensions. https://arxiv.org/abs/1602.03582

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