A method for production of a solid oxide fuel cell (SOFC) (1), having an electrolyte body (10) with a tubular structure, wherein at least one internal electrode (11) and one external electrode (12) are applied to the tubular electrolyte body, with the method having at least the following steps: provision of an injection molding core (13) on which at least one interconnector material (14) and the internal electrode (11) are mounted, arrangement of the injection molding core (13) in an injection mold (25a, 25b), injection molding of an electrolyte compound (10a) in order to form the electrolyte body (10), and removal of the injection molding core (13) in the form of a casting process with a lost core.