Torsion groups of elliptic curves over quadratic cyclotomic fields in   elementary abelian 2-extensions
  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 $K$. 
Ozlem Ejder
math.NT math.AG