Cooling element for an electric energy storage device comprising a stack of such cooling elements and electric battery elements alternating therewith, - with two outer plates respectively comprising two planar outer sides facing away from each other, - with an inner plate comprising two planar outer sides facing away from each other and comprising a cooling channel structure penetrating through the inner plate, - wherein the plates (8, 9), congruently to each other, respectively comprise an inlet bracket (17, 22) at one edge (16, 21) that spans an inlet region in which the at least one coolant inlet of the inner plate is arranged and/or that the plates (8, 9), congruently to each other, respectively comprise an outlet bracket (19, 23) at one edge (16, 21) that spans an outlet region in which the at least one coolant outlet of the inner plate is arranged, - wherein at least one of the outer plates comprises an inlet seal on the inlet bracket that protrudes at the outer side facing away from the inner plate and/or that at least one of the outer plates comprises an outlet seal on the outer bracket that protrudes at the outer side facing away from the inner plate, characterised in that - the cooling channel structure comprises a number of cooling channels arranged substantially in a U-shaped in the inner plate that are respectively open at the two outer sides of the inner plate and fluidically connect a coolant inlet arranged at one edge of the inner plate to a coolant outlet arranged at the same edge of the inner plate, - wherein the outer plates rest flat with their outer sides facing each other on the outer sides of the inner plate and thereby close the open sides of the cooling channel of the cooling channel structure. - with two outer plates respectively comprising two planar outer sides facing away from each other, - with an inner plate comprising two planar outer sides facing away from each other and comprising a cooling channel structure penetrating through the inner plate, - wherein the plates (8, 9), congruently to each other, respectively comprise an inlet bracket (17, 22) at one edge (16, 21) that spans an inlet region in which the at least one coolant inlet of the inner plate is arranged and/or that the plates (8, 9), congruently to each other, respectively comprise an outlet bracket (19, 23) at one edge (16, 21) that spans an outlet region in which the at least one coolant outlet of the inner plate is arranged, - wherein at least one of the outer plates comprises an inlet seal on the inlet bracket that protrudes at the outer side facing away from the inner plate and/or that at least one of the outer plates comprises an outlet seal on the outer bracket that protrudes at the outer side facing away from the inner plate, - the cooling channel structure comprises a number of cooling channels arranged substantially in a U-shaped in the inner plate that are respectively open at the two outer sides of the inner plate and fluidically connect a coolant inlet arranged at one edge of the inner plate to a coolant outlet arranged at the same edge of the inner plate, - wherein the outer plates rest flat with their outer sides facing each other on the outer sides of the inner plate and thereby close the open sides of the cooling channel of the cooling channel structure.