Mazur-Tate elements of nonordinary modular forms

Abstract

We establish formulae for the Iwasawa invariants of Mazur-Tate elements of cuspidal eigenforms, generalizing known results in weight $2$. Our first theorem deals with forms of “medium” weight, and our second deals with forms of small slope. We give examples illustrating the strange behavior which can occur in the high-weight, high-slope case.