  We study Chern-Simons (CS) superconductivity in the presence of uniform
external magnetic field of {\it arbitrary strength} for a system of fermions in
two spatial dimensions, which are minimally coupled both to the CS and Maxwell
gauge fields. We have carried out the computation within the mean field ansatz.
Analysing only the mean field (i.e., ignoring the fluctuations of the gauge
fields), we find that chemical potential, susceptibility and magnetization show
discontinuities for integer number of filled Landau levels. Taking into account
the fluctuations of the gauge fields, we find that the masses of the
excitations increase with the magnetic field, and that the presence of
nonlinear magnetic susceptibilities show the absence of any critical or pseudo
critical magnetic field. Finally, an interesting result is that, unlike
ordinary superconductors, the system is magnetically asymmetric.
