We characterize the Magellanic Corona model of the formation of the Magellanic Stream, which we introduced in Lucchini et al. (2020, 2021). Using high-resolution hydrodynamic simulations, we constrain the properties of the primordial Magellanic Clouds, including the Magellanic Corona -the gaseous halo around the Large Magellanic Cloud (LMC). With an LMC mass of 1.75 × 10 11 M ⊙ , a Magellanic Corona of > 5 × 10 9 M ⊙ at 3 × 10 5 K, a total Small Magellanic Cloud mass < 10 10 M ⊙ , and a Milky Way corona of 2 × 10 10 M ⊙ , we can reproduce the observed total mass of the neutral and ionized components of the Trailing Stream, ionization fractions along the Stream, morphology of the neutral gas, and on-sky extent of the ionized gas. The inclusion of advanced physical routines in the simulations allow the first direct comparison of a hydrodynamical model with UV absorption-line spectroscopic data. Our model reproduces O I, O VI, and C IV observations from HST/COS and FUSE. The stripped material is also nearby (< 50 kpc from the Sun), as found in our prior models including a Magellanic Corona.