In a method and apparatus for recording a magnetic resonance (MR) data record using multiple reception coils, the data of the MR data record contain measurement signals of at least two image data records respectively from at least two slices. The MR data record is acquired in a sequence having an excitation phase, an evolution phase, readout of a first echo signal while a first read gradient is being applied, application of at least one shift gradient in a slice-selection direction, and readout of at least one further echo signal while a further read gradient is applied. The shift gradient is positioned so as to cause a shift of at least one further image data record generated from the further echo signal or signals relative to the first image data record generated from first echo signals.