Top panel: Spin-ellipticity (i.e., λ_R−ϵ) diagram of the galaxies selected from the TNG50 simulation between 0<z<2 (gray points). The colored points show our final sample of disk-like galaxies, using the selection criteria described in Sect. 2.5. The red solid line represents the threshold typically used in observations to separate between rotation-dominated and dispersion-supported galaxies within the inner stellar half-light radius at z = 0 (Emsellem et al. 2011). Bottom panel: Total number of central and satellite galaxies of our final sample of disk-like galaxies at each redshift, selected as described in Sect. 2.5.