they have BHX/GVA and BHX/GNB on the EZY website
It's of course ski-season-only (end-Dec until end-Apr) operated by EZS aircraft (for GVA). Tried and failed to make GVA year-round a few years back. But yes, BHX would make more sense than CVT, but in EZY's case, my bet is neither. They had a perfectly good operation at EMA they've decided to abandon (when entering MAN). CVT isn't far-enough from LTN, and BHX not far enough from MAN and LPL, I guess, all those EZY strongholds. Check the LTN forum, folks there are worried about their routes because of SEN. No way they will open another UK base soon.