A VCO includes a transformer-based resonator that has a first LC tank and a second LC tank. The resonator has an even resonant mode and an odd resonant mode. The VCO further includes an active transconductance network that is coupled to a two-terminal port of the first tank and is also coupled to a two-terminal port of the second tank. A first terminal of the port of the first tank is capacitively coupled to a first terminal of the port of the second tank. A second terminal of the port of the first tank is capacitively coupled to a second terminal of the port of the second tank. The active transconductance network causes the resonator to resonate in a selectable one of the even and odd resonant modes depending on a digital control signal. The VCO is fine tuned by changing the capacitances of capacitors of the tanks.