Euclid Quick Data Release (Q1): The evolution of the passive-density and morphology-density relations between z=0. 25 and z=1

The extent to which the environment affects galaxy evolution has been under scrutiny by researchers for decades. With the first data from Euclid, we can begin to study a wide range of environments and their effects as a function of redshift, using 63 sq deg of space-based data. In this paper, we present results from the Euclid Q1 Release, where we measure the passive-density and morphology-density relations at z=0. 25-1. We determine if a galaxy is passive using the specific star-formation rate, and we classify the morphologies of galaxies using the S\'ersic index n and the u-r colours. We measure the local environmental density of each galaxy using the Nth-nearest neighbour method. We find that at fixed stellar mass, the quenched fraction increases with increasing density up to z=0. 75. This result shows the separability of the effects from the stellar mass and the environment, at least at z0. 75, we observe weak environmental effects, with most high mass galaxies being quenched independently of environment. Up to z=0. 75, the ETG fraction increases with density at fixed stellar mass, meaning the environment also transforms the morphology of the galaxy independently of stellar mass, at low mass. For high mass galaxies, almost all galaxies are early-types, with low impact from the environment. At z>0. 75, the morphology depends mostly on stellar mass, with only low-mass galaxies being affected by the environment. Given that the morphology classifications use u-r colours, these are correlated to the star-formation rate, and as such our morphology results should be taken with caution; future morphology classifications should verify these results. To summarise, we identify the passive-density and morphology-density relations at z0. 75 the relations are less strong. At z>0. 75, the uncertainties are large, and future Euclid data releases are key to confirm these trends.