The invention relates to a pack and/or module based on elementary cells with a cylindrical design, in which elementary cells are electrically connected together by a cell contacting system (4) in order to form series and parallel circuits, the two poles (P, N) of each elementary cell (2) being contacted at a free upper face (7) of the module or pack (1). The invention also relates to a battery system which is made of said pack and/or module and is provided as a device for dispensing electric energy and for storing electric energy. The aim of the invention is to provide a pack and/or module which is used to allow customer-specific solutions to be provided without developing a completely new battery system made of a pack and/or module. According to the invention, this is achieved in that a support (3) is spatially predefined in the form of a module or pack format with a defined number of elementary cells (2), wherein the electric properties of the module and/or pack (1) are designed to be adjustable by selecting a cell contacting system (4) with a respective adapted wiring of the elementary cells (2) and the connection thereof to the free upper face (7) of the module or pack (1).