There are similarities and differences between discs and cups-- and since every body is unique you may prefer one over the other. This page outlines the differences between Cora's cup and disc.
To highlight a few of the benefits of the Cora Disc: it can be worn during sexual intercourse, it sits higher up in the vagina at the base of the cervix, it does not use suction to remain in place, and it has a higher capacity.