The invention refers to a catheter pump to be positioned in the ascending aorta (11) near the aortic valve (10) of a human being, comprising an elongated sleeve 6 with a drive cable (5) extending through the sleeve and connectable at its proximal end to an external drive source and a drive rotor near the distal end of the drive cable (5) mounted on a drive shaft (4) being connected with the drive cable (5), wherein the drive rotor consist of a propeller (3) being enclosed in a cage (2) and wherein the propeller (3) and the cage (2) are foldable from an insertion position close to the drive shaft (4) to an expanded working position, characterized by means (7, 7a, 2a, 19) for anchoring the drive rotor (3) in the ascending aorta (11) near the aortic valve (10) after insertion. The invention also refers to a method to position the pumping means of a catheter pump in the ascending aorta (11) just above the aortic valve (10).