Outer conductor contact element comprising an associated coaxial cable, the outer conductor contact element being screwed or plugged onto a cable end of a coaxial cable, having the following features: - the coaxial cable comprises an inner conductor, a dielectric that surrounds the inner conductor, an outer conductor that surrounds the dielectric and is in the form of an outer conductor foil (9") or in the form of an outer conductor foil (9") that is surrounded by an outer conductor braid, and a cable sheath that surrounds all of the components, - at least one shaped element (15'; 15a, 15b) is provided inside the outer conductor contact element formed in the manner of an outer conductor sleeve, at least in a longitudinal region of the outer conductor sleeve, - the at least one shaped element (15; 15a, 15b) comprises at least one shaped element that rises inside the outer conductor sleeve from the inner surface of the sleeve and that extends helically around the axial central axis, or a plurality of shaped elements (15; 15b) that extend in the axial longitudinal direction and that are arranged so as to be offset from one another in the circumferential direction, - the connection side of the outer conductor sleeve is screwed or plugged onto the coaxial cable end of the coaxial cable at least over a part of the length thereof, - the outer conductor sleeve is screwed or plugged onto the coaxial cable end such that the at least one or the plurality of shaped elements (15; 15a, 15b) notches and/or pushes into the outer conductor below the cable sheath or into the outer conductor foil (9") below the outer conductor braid, - the outer conductor sleeve electrically contacting the outer conductor of the coaxial cable in a manner in which the cable shield is held tight, characterised by the following additional features: - the height of the shaped elements (15; 15a, 15b) by which said elements rise above the inner surface of the sleeve is between 0.2 mm and 1.0 mm, - the starting region of the at least one shaped element (15; 15a, 15b) is provided with a flat portion or ramp, - the tallest projections of the at least one shaped element (15; 15a, 15b) have rounded edges, and - the outer conductor sleeve is screwed or plugged onto the coaxial cable end such that the at least one shaped element (15; 15a, 15b) notches and/or presses through the outer conductor foil (9") into the dielectric located therebelow. - the coaxial cable comprises an inner conductor, a dielectric that surrounds the inner conductor, an outer conductor that surrounds the dielectric and is in the form of an outer conductor foil (9") or in the form of an outer conductor foil (9") that is surrounded by an outer conductor braid, and a cable sheath that surrounds all of the components, - at least one shaped element (15'; 15a, 15b) is provided inside the outer conductor contact element formed in the manner of an outer conductor sleeve, at least in a longitudinal region of the outer conductor sleeve, - the at least one shaped element (15; 15a, 15b) comprises at least one shaped element that rises inside the outer conductor sleeve from the inner surface of the sleeve and that extends helically around the axial central axis, or a plurality of shaped elements (15; 15b) that extend in the axial longitudinal direction and that are arranged so as to be offset from one another in the circumferential direction, - the connection side of the outer conductor sleeve is screwed or plugged onto the coaxial cable end of the coaxial cable at least over a part of the length thereof, - the outer conductor sleeve is screwed or plugged onto the coaxial cable end such that the at least one or the plurality of shaped elements (15; 15a, 15b) notches and/or pushes into the outer conductor below the cable sheath or into the outer conductor foil (9") below the outer conductor braid, - the outer conductor sleeve electrically contacting the outer conductor of the coaxial cable in a manner in which the cable shield is held tight, - the height of the shaped elements (15; 15a, 15b) by which said elements rise above the inner surface of the sleeve is between 0.2 mm and 1.0 mm, - the starting region of the at least one shaped element (15; 15a, 15b) is provided with a flat portion or ramp, - the tallest projections of the at least one shaped element (15; 15a, 15b) have rounded edges, and - the outer conductor sleeve is screwed or plugged onto the coaxial cable end such that the at least one shaped element (15; 15a, 15b) notches and/or presses through the outer conductor foil (9") into the dielectric located therebelow.