Mazur-Tate elements of non-ordinary 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.

References in corpus (2)

• Variation of Iwasawa invariants in Hida families
• On the Iwasawa invariants of elliptic curves

Cited by in corpus (3)

• On pairs of p-adic L-functions for weight two modular forms
• Congruences between Ramanujan's tau function and elliptic curves, and Mazur--Tate elements at additive primes
• An analogue of Kida's formula for Mazur-Tate elements