Energy Store Having a Cooling Device and Motor Vehicle Having an Energy Store

An energy store includes a plurality of electrical energy storage modules which are arranged in neighboring rows and a plurality of separate cooling elements each of which is in contact with at least one surface of an associated one of the plurality of electrical energy storage modules. A coolant or a refrigerant is flowable through the plurality of separate cooling elements where the plurality of separate cooling elements have a respective intake and a discharge. A coolant channel is disposed between the neighboring rows. The respective intake and the discharge of the plurality of separate cooling elements are each connected to the coolant channel via a respective coolant line and the coolant channel has a feed and a return which are adjacent to a hollow space that is disposed between the feed and the return.