Modelling of the SED of SDSS1335+0728 obtained using AGNFITTER. The cold gas component is shown in green, the stellar population component in yellow, the AGN accretion disc in blue, the AGN torus in purple (note that no torus component is needed in the model), and the total model in red. Top: SED model obtained using the photometry of SDSS1335+0728 before the ZTF19acnskyy started generating alerts (prior to December 2019) from WISE, 2MASS, SDSS, and GALEX. This model (preSED-model) does not require an AGN torus component, but in most of the realisations it requires a faint AGN accretion disc component. Bottom: SED model obtained using the first Swift/UVOT observation obtained in July 2021 (MJD 59426). For the infrared range we used the photometry from 2MASS and WISE obtained prior to December 2019, which allowed us to cover a larger range in wavelength. We also fixed the stellar age, SFH τ, and E(B − V)_gal parameters, using the results obtained in the preSED-model, letting the parameters of afterSED-model vary within the 1σ values obtained for preSED-model. This model (afterSED-model) does not require an AGN torus model, while it requires a much brighter AGN accretion disc component.