  In this work, we present an Opto-Electro-Mechanical Modulator (OEMM) for
RF-to-optical transduction realized via an ultra-coherent nanomembrane
resonator capacitively coupled to an rf injection circuit made of a
microfabricated read-out able to improve the electro-optomechanical
interaction. This device configuration can be embedded in a Fabry-Perot cavity
for electromagnetic cooling of the LC circuit in a dilution refrigerator
exploiting the opto-electro-mechanical interaction. To this aim, an optically
measured steady-state frequency shift of 380 Hz was seen with a polarization
voltage of 30 V and a $Q$-factor of the assembled device above $10^6$ at room
temperature. The rf-sputtered titanium nitride layer can be made
superconductive to develop efficient quantum~transducers.
