  The superdeformed band of $^{36}$Ar is studied with the Gogny force D1S and
the angular momentum projected generator coordinate method for the quadrupole
moment. The band head excitation energy, moments of inertia, $B(E2)$ transition
probabilities and stability against quadrupole fluctuations at low spin are
studied. The Self Consistent Cranking method is also used to describe the
superdeformed rotational band. In addition, properties of some normal deformed
states are discussed.
