  Cosmic birefringence is the in-vacuo, frequency independent rotation of the
polarization plane of linearly polarized radiation, induced by a
parity-violating term in the electromagnetic Lagrangian. We implement an
harmonic estimator for the birefringence field that only relies on the CMB E to
B mode cross-correlation, thus suppressing the effect of cosmic variance from
the temperature field. We derive constraints from Planck public releases 3 and
4, revealing a cosmic birefringence power spectrum consistent with zero at
about $2\sigma$ up to multipole $L=1500$. Moreover, we find that the
cross-correlations of cosmic birefringence with the CMB T-, E- and B-fields are
also well compatible with null. The latter two cross-correlations are provided
here for the first time up to $L=1500$.
