Relations between radio and optical properties of objects in the catalogue. Left: logarithmic density plot of 3 226 797 WISE-detected DR2 sources showing total LOFAR flux density against WISE band 2 AB magnitude. Right: logarithmic density plot of 851 356 DR2 sources with good WISE magnitudes and z_best < 0.5 showing total 144-MHz radio luminosity against WISE band 2 absolute AB magnitude, with approximate K-correction using the W1–W2 colour.