An electromagnetic rail brake device of a rail vehicle having at least one brake magnet which has a magnet coil body and at least one magnetic core, and wherein the magnet coil body carries at least one magnet coil winding, and having an electric connector device, by way of which the at least one magnet coil winding is supplied with current, wherein the electric connector device has at least one pin-shaped electric connector body which is connected via a releasable electric connection to at least one current-conducting electric cable which is guided from the outside to the at least one pin-shaped connector body in relation to the brake magnet. The at least one pin-shaped electric connector body may be arranged on a free and outer surface of the magnet coil body or an element which is connected to the magnet coil body.