Finding large Selmer rank via an arithmetic theory of local constants
Finding large Selmer rank via an arithmetic theory of local constants
We obtain lower bounds for Selmer ranks of elliptic curves over dihedral extensions of number fields.Suppose K/k is a quadratic extension of number fields, E is an elliptic curve defined over k, and p is an odd prime.Let K -denote the maximal abelian p-extension of K that is unramified at …