This result states that let and be integers, let be a Dirichlet character, and let be a normalized cuspidal Hecke eigenform. Let be the number field generated by the Hecke eigenvalues of . For every finite place of lying above a rational... It places Hodge-Tate Weights of Deligne's Galois Representation Attached to a Modular Eigenform in the framework of modular forms and Galois representations.