Iwasawa invariants of elliptic curves and p adic measures

Abstract

The central theme of our work is to investigate Iwasawa invariants associated with elliptic curves and p adic measures Iwasawa D and D invariants of an elliptic curve contain valuable information about the curve On the other hand p adic L functions over Q arise as D transforms of certain p adic measures hence there is considerable interest in Iwasawa invariants of such measures and their D transforms Suppose that E1 and E2 are elliptic curves defined over Q Let p be an odd prime where E1