  We present novel realizations of E-model inflation within Supergravity which
are largely associated with the existence of a pole of order one in the kinetic
term of the (gauge-singlet) inflaton superfield. This pole arises due to the
selected logarithmic Kahler potentials K1 and ~K1, which parameterize the same
hyperbolic manifold with scalar curvature R=-2/N, where N>0 is the coefficient
of a logarithmic term. The associated superpotential W exhibits the same R
charge with the inflaton-accompanying superfield and includes all the allowed
renormalizable terms. For K=K1, inflation can be attained for N=2 at the cost
of some tuning regarding the coefficients of the W terms and predicts a
tensor-to-scalar ratio r at the level of 0.001. The tuning can be totally
eluded for K=~K1, which allows for quadratic- and quartic-like models with N
values increasing with r and spectral index ns close or even equal to its
present central observational value.
