Some Non-Gorenstein Hecke Algebras Attached to Spaces of Modular Forms, Original Research Article

Let p be a prime, and let S2(Γ0(p)) be the space of cusp forms of level Γ0(p) and weight 2. We prove that, for pset membership, variant{431, 503, 2089}, there exists a non-Eisenstein maximal ideal image of the Hecke algebra of S2(Γ0(p)) above 2, such that (Tq)image is not Gorenstein.