A battery has at least one electrochemical storage cell and a cooling device. The at least one electrochemical storage cell is placed between parts of the cooling device. The cooling device is flown through by a liquid cooling medium. According to the invention, each electrochemical storage cell is accommodated inside an opening of the cooling device and is, at least in part, in non-positive contact with the cooling device each time via at least one outside surface that is curved in a direction perpendicular to a longitudinal axis of the electrochemical storage cell. The cooling device comprises at least one expansion joint in the areas of non-positive contact.