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

2016/02/11 by Ejder, Ozlem
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1602.03582

Abstract

Let K denote the quadratic field ℚ(√(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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