Looks just like a '61 reissue to me. Has all the features: Deeper horn bevels, wider headstock, shelving at the neck/body attachment, pickguard shape and black plate at bottom of neck, as well as the pick up rings.
Couldn't see it but I wish they had a better pic of the inside of the upper horn as it should be tapered and more pointed than standards are.
Couldnt say if it was a fake or not. Looks just like my '61 reissue except mine has a maestro on it, which wasn't always available at certain times of production.