  We describe a compactified Supermembrane, or M2-brane, with 2-form fluxes
generated by constant three-forms that are turned on a 2-torus of the target
space $M_9\times T^2$. We compare this theory with the one describing a $11D$
M2-brane formulated on $M_9\times T^2$ target space subject to an irreducible
wrapping condition. We show that the flux generated by the bosonic 3-form under
consideration is in a one to one correspondence to the irreducible wrapping
condition. After a canonical transformation both Hamiltonians are exactly the
same up to a constant shift in one particular case. Consequently both of them,
share the same spectral properties. We conclude that the Hamiltonian of the
M2-brane with 2-form target space fluxes on a torus has a purely discrete
spectrum with eigenvalues of finite multiplicity and it can be considered to
describe a new sector of the microscopic degrees of freedom of M-theory. We
also show that the total membrane momentum in the direction associated to the
flux condition acquires a quantized contribution in correspondence to the flux
units that have been turned on.
