Cuerno R. Spectrum of an Elliptic Free Fermionic Corner Transfer Matrix Hamiltonian (20K, LaTeX) ABSTRACT. The eigenvalues of the Corner Transfer Matrix Hamiltonian associated to the elliptic R matrix of the eight vertex free fermion model are computed in the anisotropic case for magnetic field smaller than the critical value. An argument based on generating functions is given, and the results are checked numerically. The spectrum consists of equally spaced levels.