On a conjecture of Sharifi and Mazur's Eisenstein ideal

Emmanuel Lecouturier, Jun Wang

Let $N$ and $p$ be prime numbers $\ge 5$ such that $p$ divides $N-1$. Let $I$ be Mazur's Eisenstein ideal of level $N$ and $H_{+}$ be the plus part of $H_1(X_0(N),{\mathbf{Z}}_p)$ fo…