An antenna device has a first antenna branch and a second antenna branch. Both the first and the second antenna branches have the shape of a non-closed conductor loop and are connected to each other to form a cohesive conductor loop. The respective loop ends are disposed parallel to each other at a distance directed perpendicular (z axis) to the course of the loop. The antenna device has two connections that are disposed in the center section of the cohesive conductor loop at a distance from each other.