Embodiments for a supercharged engine are presented. In one example, a supercharged engine includes a cylinder head having at least two cylinders, each cylinder having at least one outlet opening for discharging exhaust gases and each outlet opening being adjoined by an exhaust line, with exhaust lines of at least two cylinders merging to form an overall exhaust line within the cylinder head so as to form an integrated exhaust manifold, at least two turbines arranged in series, the two turbines being of different size and arranged downstream of the exhaust manifold in the overall exhaust line, a distributor housing in which the overall exhaust line downstream of the manifold enters into and leads through to a small turbine of the two turbines, and a first turbine housing which accommodates the small turbine including at least one coolant jacket in order to form a liquid cooling arrangement.