NOVELTY - The rechargeable electrical battery comprises two stacks of battery cells lined up in a stacking direction. The stacks are arranged adjacent to one another and perpendicular to the stacking direction. The stacks arranged adjacent to one another are arranged at an offset from one another in the stacking direction. A thermal and electrical insulator layer is arranged between two neighboring battery cells of the stack, where the insulator layer is formed by an insulation film. The battery cell is arranged to partially overlap with the battery cell of an adjacent stack.    USE - The rechargeable electrical battery such as a high voltage battery is useful for an electric car.    ADVANTAGE - The rechargeable electrical battery can be simply and economically manufactured with improved cooling performance, reduced size, optimal operation conditions, long service life and good volumetric energy density.    DETAILED DESCRIPTION - The rechargeable electrical battery comprises two stacks of battery cells lined up in a stacking direction. The stacks are arranged adjacent to one another and perpendicular to the stacking direction. The stacks arranged adjacent to one another are arranged at an offset from one another in the stacking direction. A thermal and electrical insulator layer is arranged between two neighboring battery cells of the stack, where the insulator layer is formed by an insulation film. The battery cell is arranged to partially overlap with the battery cell of an adjacent stack, and is surrounded by a plastic cell casing, which comprises a protruding sealing seam that is arranged approximately in an area of a cell center plane. A clearance is provided between the sealing seams of adjacent battery cells of the stack. The offset of the stacks amounts to approximately half the thickness of the battery cell. A first cooling air channel is formed in an overlapping region. The clearance forms the first cooling air channel and/or a second cooling air channel. The first cooling air channel is arranged towards a vertical axis of the battery, and the second cooling air channel is arranged towards a lateral axis of the battery perpendicular to the vertical axis and perpendicular to the stacking direction. The sealing seam limiting the clearance or extending into the clearance forms a flow guide surface (13) for the cooling air. A U-profile or Y-profile comprising cell connectors extends into the second cooling air channel for electrically connecting two adjacent battery cells. The first and/or second cool air channels are part of a closed cool air circuit for the refrigeration of the battery. The cooling air circuit comprises a cooling air fan and a heat exchanger. The stacks with the partially overlapping battery cells form a battery module, which is located between two thermally and/or electrically insulating plates that comprise a stage in an overlapping region.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic view of an electrical battery.    Battery module (2)    Support plate (8)    Support frame (10)    Housing (12)    Flow guide surfaces. (13)