Photometric and spectroscopic observations of a slowly declining, luminous Type Ia supernova (SN Ia) SN 2011hr in the starburst galaxy NGC 2691 are presented. SN 2011hr is found to peak at , with a post-maximum decline rate m(B) = 0.92 0.03,. From the maximum-light bolometric luminosity, $L=(2.30 \pm 0.90) \times 10^{43},\rm{erg,s^{-1}}$, we estimate the mass of synthesized \Nifs\ in SN 2011hr to be . SN 2011hr appears more luminous than SN 1991T at around maximum light, and the absorption features from its intermediate-mass elements (IMEs) are noticeably weaker than the latter at similar phases. Spectral modeling suggests that SN 2011hr has the IMEs of ,0.07 M in the outer ejecta, which is much lower than the typical value of normal SNe Ia (i.e., 0.3 – 0.4 M) and is also lower than the value of SN 1991T (i.e., ,0.18 M). These results indicate that SN 2011hr may arise from a Chandrasekhar-mass white dwarf progenitor that experienced a more efficient burning process in the explosion. Nevertheless, it is still possible that SN 2011hr may serve as a transitional object connecting the SN 1991T-like SNe Ia with the superluminous subclass like SN 2007if given that the latter also shows very weak IMEs at all phases.

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