  We propose an inverse seesaw model with large $SU(2)_L$ multiplets applying
modular $A_4$ symmetry where $SU(2)_L$ quartet and septet fermions are
introduced as triplets under the symmetry. The neutral components of the
quartet contribute to mass matrix for inverse seesaw mechanism and interactions
involving the septet induce Majorana mass terms of these extra fermions.
Although there are several free parameters in the mass matrix we can obtain
some predictions for observables in neutrino sector such as CP phases, sum of
neutrino mass and effective mass for neutrinoless double beta decay, especially
around fixed points of modulus motivated by string theories.
