2 problems

Let $E$ be the quadratic field under consideration, let $K_f$ be the chosen level, let $\mathcal{L}_{\bm{n}}(\mathbb{F})$ be the coefficient system, and let $\mathfrak{m}$ be a non…

Let $F$) be an imaginary quadratic field, let $\mathfrak{m}$ be a non-Eisenstein maximal ideal of residue characteristic $p>2$ associated to a residual Galois representation…