The invention relates to a side-milling cutter for producing a toothing system, having at least one insert having a rectangular cross section arranged in a holding pocket as an insert seat, having two top surfaces facing away from each other, having two long insert sides located opposite each other and also having two narrow insert sides located opposite each other. Of four cutting edges of the insert which extend along the long insert sides in the longitudinal direction, in each case two cutting edges delimit the top surfaces of the insert at the edge, each cutting edge extending in a curve.