  We study charged and rotating boson stars in 5-dimensional
Einstein-Maxwell(-Chern-Simons) theory assuming the two angular momenta
associated to the two orthogonal planes of rotation to be equal. Next to the
angular momenta, the boson stars carry electric charge and magnetic moment.
Interestingly, we find new branches of Einstein-Maxwell-Chern-Simons solutions
for which the spatial part of the gauge potential possesses nodes.
Consequently, the magnetic moment and the gyromagnetic ratio have opposite sign
as compared to the solutions on the main branch. For sufficiently large energy
density we find that the solutions possess ergoregions.
