Investigating the relationship between cosmic curvature and dark energy models with the latest supernova sample

We investigate the relationship between cosmic curvature and model of dark energy (hereafter DE) with recent Type Ia supernovae (hereafter SNe Ia) data, i.e., the Pantheon sample including 1048 SNe Ia with 0.01 < z < 2.3. We obtain measurements of the dimensionless spatial curvature density today, i.e., Omega(k0)=-0.062(-0.169)(+0.189),-0.004(-0.134)(+0.228),0.127(-0.276)(+0.2800) and 0.422(-0.338)(+0.213) at 68% confidence level (CL), respectively, in the scenarios of Lambda CDM, phi CDM (i.e., scalar field DE), omega CDM and omega(0)omega(a) CDM models. In the scenario of Lambda CDM model, a closed universe is preferred by the Pantheon sample, which is consistent with that from the Planck CMB spectra. However, the uncertainty of Omega(k0) from the Pantheon SNe sample is about 8 times larger than that from the Planck data, so the former one supports a closed universe at a much lower CL than that from the latter one. An open unverse is supported by the Pantheon sample at similar to 32% and similar to 78% CLs, respectively, in the omega CDM and omega(0)omega(a) CDM models. Among these models, the phi CDM model is the one which supports the flat universe most strongly. It shows that Omega(k0) is significantly dependent on the adopted model of DE, and there is a negative correlation between Omega(k0) and the equation of state of DE.