Core bodies which have an alignment structure and allow an alignment during the production of magnetic cores irrespective of production tolerances, in which the production tolerances are compensated. In illustrative embodiments a core body of ferromagnetic material comprises a crossbar having an aspect ratio of length to width greater than 1, and at least one core leg extending laterally away from the crossbar along an extension direction. An alignment recess is formed in a rear surface of the crossbar, which is arranged on a side of the crossbar opposite the core legs. A magnetic core is formed of core bodies, whereby at least one core body is provided with an alignment recess, and the core bodies are aligned relative to one another.