The invention relates to a flexible catheter (1) with a drive shaft (2), with a sleeve (6) surrounding the drive shaft (2) and with a sheath (7) surrounding the drive shaft (2) and the sleeve (6), wherein the drive shaft, the sleeve (6) and the sheath (7) are pliable, wherein the drive shaft (2) at a proximal end of the drive shaft (2) comprises a coupling element (5) for connecting the drive shaft (2) to a drive motor (18), wherein the drive shaft (2) at least regionally consist of a alloy which contains at least 10% by weight of chromium, nickel and cobalt in each case. The invention moreover relates to a blood pump arrangement with such a catheter.