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The goal of this work is to obtain a Hubble constant estimate through thestudy of the quadruply lensed, variable QSO SDSSJ1433+6007. To achieve this wecombine multi-filter, archival $\textit{HST}$ data for lens modelling and adedicated time delay monitoring campaign with the 2.1m Fraunhofer telescope atthe $\textit{Wendelstein Observatory}$. The lens modelling is carried out withthe public $\texttt{lenstronomy}$ Python package for each of the filtersindividually. Through this approach, we find that the data in one of the$\textit{HST}$ filters (F160W) contain a light contaminant, that would, ifremained undetected, have severely biased the lensing potentials and thus ourcosmological inference. After rejecting these data we obtain a combinedposterior for the Fermat potential differences from the lens modelling in theremaining filters (F475X, F814W, F105W and F140W) with a precision of$\sim6\%$. The analysis of the $\textit{g'}$-band Wendelstein light curve datais carried out with a free-knot spline fitting method implemented in the publicPython $\texttt{PyCS3}$ tools. The precision of the time delays between the QSOimages has a range between 7.5 and 9.8$\%$ depending on the brightness of theimages and their time delay. We then combine the posteriors for the Fermatpotential differences and time delays. Assuming a flat $\Lambda$CDM cosmology,we infer a Hubble parameter of$H_0=76.6^{+7.7}_{-7.0}\frac{\mathrm{km}}{\mathrm{Mpc\;s}}$, reaching $9.6\%$uncertainty for a single system.

Time Delay Cosmography: Analysis of Quadruply Lensed QSO SDSSJ1433 from Wendelstein Observatory