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The most distant known quasar recently discovered by Ba\~nados et al. (2018)is at $z=7.5$ (690 Myr after the Big Bang), at the dawn of galaxy formation. Weexplore the host galaxy of the brightest quasar in the large volumecosmological hydrodynamic simulation BlueTides, which in Phase II has reachedthese redshifts. The brightest quasar in BlueTides has a luminosity of a $\sim$few $10^{13} L_{\odot}$ and a black hole mass of $6.4 \times 10^{8} M_{\odot}$at $z \sim 7.5$, comparable to the observed quasar (the only one in this largevolume). The quasar resides in a rare halo of mass $M_{H} \sim 10^{12}M_{\odot}$ and has a host galaxy of stellar mass of $4 \times 10^{10}M_{\odot}$with an ongoing (intrinsic) star formation rate of $\sim 80 M_{\odot} yr^{-1}$.The corresponding intrinsic UV magnitude of the galaxy is $-23.1$, which isroughly $2.7$ magnitudes fainter than the quasar's magnitude of $-25.9$. Wefind that the galaxy is highly metal enriched with a mean metallicity equal tothe solar value. We derive quasar and galaxy spectral energy distribution (SED)in the mid and near infrared JWST bands. We predict a significant amount ofdust attenuation in the rest-frame UV corresponding to $A_{1500} \sim 1.7$giving an UV based SFR of $\sim 14 M_{\odot} yr^{-1}$. We present mock JWSTimages of the galaxy with and without central point source, in different MIRIand NIRCam filters. The host galaxy is detectable in NIRCam filters, but it isextremely compact ($R_{E}=0.35$ kpc). It will require JWST's exquisitesensitivity and resolution to separate the galaxy from the central pointsource. Finally within the FOV of the quasar in BlueTides there are two moresources that would be detectable by JWST.

A tiny host galaxy for the first giant black hole: $z= 7.5$ quasar in BlueTides