A shim coil device for installation and/or arrangement within a local coil of a magnetic resonance device is provided. The shim coil device includes at least one shim coil formed by at least one conductor loop, and at least one compensation coil formed by at least one conductor loop. The at least one shim coil and the at least one compensation coil are arranged in a same coil plane. An overall arrangement of the at least one shim coil and the at least one compensation coil is symmetrical about a first central axis and a second central axis. The first central axis and the second central axis are perpendicular to each other and lie in the coil plane. An overall induction surface is enclosed by the at least one conductor loop of the at least one compensation coil corresponding to an overall induction surface enclosed by the at least one conductor loop of the at least one shim coil.