The invention relates to a rechargeable battery (1) comprising at least one storage module (3) for electrical energy and at least one cooling device (2) for cooling or controlling the temperature of the at least one storage module (3), wherein the cooling device (2) has at least one coolant channel (6), at least one coolant inlet (8) and at least one coolant outlet (9) and wherein the cooling device (2) has a single-layer or multi-layer film (4) and lying with this film (4) against the at least one storage module (3).