Rosuvastatin is available as the brand-name drug Crestor. It's also available as a generic drug. Generic drugs usually cost less than the brand-name version. In some cases, they may not be available in every strength or form as the brand-name drug. Rosuvastatin works by blocking enzymes in your liver that make cholesterol. This lowers your levels of LDL (bad) cholesterol. It also raises your levels of HDL (good) cholesterol.