An array antenna for magnetic resonance applications has at least one first and one second conductor loop in which radio-frequency currents oscillate in respective current flow directions in the operation of the array antenna. The respective conductor loops are divided into first or second loop segments in their respective current flow directions. The first loop segments are capacitively coupled with one another by first capacitors, the second loop segments are capacitively coupled with one another of second capacitors. The loop segments are fashioned as conductor traces of a circuit board that has at least one first and one second electrically insulating support layer. The support layers abut one another with the exception of conductor traces arranged between the first support layer and the second support layer. The capacitors are respectively formed by end regions of the first or second loop segments abutting one another as viewed in the respective current flow direction. The end regions overlap as viewed in the respective current flow direction. Exactly one of the support layers is between the overlapping end regions of the loop segments. The first and the second conductor loops intersect in intersection regions. Neither the a loop segments of the first conductor loop nor a loop segments of the second conductor loop are arranged between the first support layer and the second support layer in the intersection regions.