A current sensor includes at least one primary circuit that is intended to conduct the current to be measured, and a secondary circuit containing at least four Neel-effect® transducers, each having a coil and a superparamagnetic core. The current sensor is designed on the basis of a printed circuit board, the primary circuit including at least two distinct metal tracks that are composed of one and the same metal and connected to one another by a via made of a rivet, of a tube or of an electrolytic deposit of the same metal.