  We solve the Einstein-Maxwell-Klein-Gordon system of equations and derive a
compact, static axially symmetric magnetized object which is electrically
neutral and made of two complex massive charged scalar fields. We describe
several properties of such solution, including the torus form of the matter
density and the expected dipolar distribution of the magnetic field, with some
peculiar features in the central regions. The solution shows no divergencies in
any of the field and metric functions. A discussion is presented on a case
where the gravitational and magnetic fields in the external region are similar
to those of neutron stars.
