A study on the coefficients of Eisenstein elements of prime square level

The Manin-Drinfeld theorem is an important result of the theory of modular forms on the existing of an isomorphism between the space of Eisenstein series E2(T0(N)) and a first homology group H1(X0(N)3 Z) of a modular curve X0(N). Explicitly such an isomorphism was first constructed in [1] in the case when N = p is prime. In the thesis we review the structure of an isomorphism in the case when N = p2 and p ≥ 3 is prime