BATTERY CELL FOR A BATTERY MODULE AND MOTOR VEHICLE

A battery cell for a battery module of an electric vehicle, multiple electrodes with base surfaces and at least one side surface, at least one cooling element with a contact surface, at least one separating element and at least one heat conducting element. The cooling element is thermally connected to the heat conducting element via the contact surface. The base surface of the electrode is many times larger than the at least one side surface of the electrode. A respective separating element is arranged between each of two base surfaces of two adjacent electrodes. The electrodes are in each case thermally connected via the heat conducting element to the cooling element. The at least one cooling element is arranged so that the at least one side surface of the electrodes is oriented in the direction of the contact surface.