Link magnetic rail brake device of a rail vehicle, with at least one brake magnet formed by a link magnet, having at least the following features: (a) the link magnet has a magnetic coil body, at least one magnet core, two end-members (14, 15) solidly fixed to the magnetic coil body and a plurality of intermediate links each connected to the magnetic coil body and able to undergo limited movement, arranged one after another as viewed in the longitudinal direction of the magnetic coil body, as well as a plurality of separating partitions, wherein between two adjacent intermediate links a separating partition is arranged in each case, (b) the magnetic coil body supports at least one magnetic solenoid winding, (c) each end-member (14, 15) has an end-member magnetic core, (d) the magnetic coil body has at least one upper edge and at least one lower edge, which between them form a passage opening, (e) the end-member magnetic core, as viewed in a cross-section plane arranged perpendicularly to the longitudinal direction of the magnetic coil body, is shaped like a horseshoe, with a web and two limbs (19a, 19b) that extend away from the web, wherein on the ends of the limbs (19a, 19b) facing toward a rail pole pieces (16a, 16b) provided for frictional contact with the rail are provided, (f) the web extends transversely through the passage opening of the magnetic coil body, characterised in that (g) the end-member magnetic core has a one-piece end-member magnetic core upper portion that comprises at least the web and, in the fitted position, at least a first upper portion (21a, 21b) of the limb (19a, 19b) to which, in the fitted position, in each case a second, lower and separate portion (23a, 23b) of a limb (19a, 19b) is detachably connected, at the free end of which the pole piece (16a, 16b) of the limb (19a, 19b) is formed, and (h) as viewed in a cross-section plane arranged perpendicularly to the longitudinal direction of the magnetic coil body, the second, lower portion (23a, 23b) of a limb (19a, 19b) is formed with an inward-directed bend. (a) the link magnet has a magnetic coil body, at least one magnet core, two end-members (14, 15) solidly fixed to the magnetic coil body and a plurality of intermediate links each connected to the magnetic coil body and able to undergo limited movement, arranged one after another as viewed in the longitudinal direction of the magnetic coil body, as well as a plurality of separating partitions, wherein between two adjacent intermediate links a separating partition is arranged in each case, (b) the magnetic coil body supports at least one magnetic solenoid winding, (c) each end-member (14, 15) has an end-member magnetic core, (d) the magnetic coil body has at least one upper edge and at least one lower edge, which between them form a passage opening, (e) the end-member magnetic core, as viewed in a cross-section plane arranged perpendicularly to the longitudinal direction of the magnetic coil body, is shaped like a horseshoe, with a web and two limbs (19a, 19b) that extend away from the web, wherein on the ends of the limbs (19a, 19b) facing toward a rail pole pieces (16a, 16b) provided for frictional contact with the rail are provided, (f) the web extends transversely through the passage opening of the magnetic coil body, characterised in that (g) the end-member magnetic core has a one-piece end-member magnetic core upper portion that comprises at least the web and, in the fitted position, at least a first upper portion (21a, 21b) of the limb (19a, 19b) to which, in the fitted position, in each case a second, lower and separate portion (23a, 23b) of a limb (19a, 19b) is detachably connected, at the free end of which the pole piece (16a, 16b) of the limb (19a, 19b) is formed, and (h) as viewed in a cross-section plane arranged perpendicularly to the longitudinal direction of the magnetic coil body, the second, lower portion (23a, 23b) of a limb (19a, 19b) is formed with an inward-directed bend.