We use the Monte Carlo Markov chain method to explore the dark energy properties and the cosmic curvature by fitting two popular dark energy parameterizations to the observational data. The new 182 gold Type Ia supernova data and the ESSENCE data both give good constraints on the dark energy parameters and the cosmic curvature for the dark energy model w0 + waz/(1 + z) . The cosmic curvature is found to be | Ωk| 0.03. For the dark energy model w0 + waz/(1 + z)2, the ESSENCE data gives better constraints on the cosmic curvature, and we get | Ωk| ≤ 0.02.
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