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Thanks to very deep spectroscopic observations carried out at the LargeBinocular Telescope, we measured simultaneously stellar age, metallicity andvelocity dispersion for C1-23152, an ETG at redshift $z$=3.352, correspondingto an epoch when the Universe was $\sim$1.8 Gyr old. The analysis of itsspectrum shows that this galaxy, hosting an AGN, formed and assembled$\sim$2$\times$10$^{11}$ M$_\odot$ shaping its morphology within the $\sim$600Myr preceding the observations, since $z$$\sim$4.6. The stellar population hasa mean mass-weighted age 400$^{+30}_{-70}$ Myr and it is formed between$\sim$600 Myr and $\sim$150 Myr before the observed epoch, this latter beingthe time since quenching. Its high stellar velocity dispersion,$\sigma_e$=409$\pm$60 km s$^{-1}$, confirms the high mass(M$_{dyn}$=$2.2(\pm0.4)$$\times$10$^{11}$ M$_\odot$) and the high mass density($\Sigma_e^{M^*}$=$\Sigma_{1kpc}=3.2(\pm0.7)\times10^{10}$ M$_\odot$kpc$^{-2}$), suggesting a fast dissipative process at its origin. The analysispoints toward a supersolar metallicity, [Z/H]=0.25$^{+0.006}_{-0.10}$, inagreement with the above picture, suggesting a star formation efficiency muchhigher than the replenishment time. However, sub-solar metallicity valuescannot be firmly ruled out by our analysis. Quenching must have been extremelyefficient to reduce the star formation to SFR$<$6.5 M$_\odot$ yr$^{-1}$ in lessthan 150 Myr. This could be explained by the presence of the AGN, even if acausal relation cannot be established from the data. C1-23152 has the samestellar and physical properties of the densest ETGs in the local Universe ofcomparable mass, suggesting that they are C1-23152-like galaxies which evolvedto $z=0$ unperturbed.

The Rapid Build-up of Massive Early-type Galaxies. Supersolar Metallicity, High Velocity Dispersion and Young Age for an ETG at z=3.35