Abstract: The invention relates to a galvanic cell according to the invention with a substantially prismatic or cylindrical structure and an electrode stack. In addition the galvanic cell has at least one current conductor that is connected to the electrode stack and sheathing that at least partially surrounds the electrode stack. Part of a current conductor extends from said sheathing. The sheathing has at least one first deep drawn part and one second deep drawn part. One deep drawn part has a higher thermal conductivity than the other deep drawn parts. The deep drawn parts of the sheathing are provided to at least partially surround the electrode stack.