The Lucille models are black w/tortoise pickguard and have the varitone (rotary) selector switch, and they have a really nice tailpiece with fine tuners.
I think this is a Limited Edition Dot Deluxe that was offered in this color a few years ago. I've been thinking about replacing the pickguard because I've read that the "E" logo has a tendency to pop off these. Maybe a black/cream/black and matching trussrod cover?