A coupling nut for sealingly engaging a ferrule of a fluid line to a component of a hydraulic system, has: a shank extending along a central axis and having threads to engage a nipple, the threads extending circumferentially around the central axis, the shank defining an inner passage extending along the central axis and sized to receive the fluid line; and a head extending from the shank circumferentially around the inner passage relative to the central axis, the head: defining faces circumferentially distributed about the central axis and edges at junctions between the faces, the faces including torque-transmitting faces each facing a direction having a circumferential component relative to the central axis, and having a cross-section in a plane normal to the central axis, the cross-section defining a plurality of symmetry planes containing the central axis, the torque-transmitting faces free of intersection with the plurality of symmetry planes.