The cuprates present a mysterious pseudo-gap phase in which an intra-unit-cell magnetic order develops below Tmag, matching the pseudo-gap temperature T*. Evidenced in four cuprate families by using polarized neutron scattering, and well documented in a wide hole doping range, this intra-unit-cell magnetic order indicates that time reversal symmetry is broken, but translation invariance is preserved. Interestingly, charge order and anomalous Kerr effect have also been reported within the pseudo-gap. In our recent study of the magnetic intensity at low doping, we observed, in addition to the appearance of the intra-unit-cell magnetic order, a temperature break close to the temperature of the other reported phenomenon. In order to better understand the interplay between the different instabilities, we propose to extend our study to a new high quality sample.