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Using data from the Sloan Digital Sky Supernova Survey-II, we measure therate of Type Ia Supernovae (SNe Ia) as a function of galaxy properties atintermediate redshift. A sample of 342 SNe Ia with 0.05<z<0.25 is constructed.Using broad-band photometry we use the PEGASE spectral energy distributions(SEDs) to estimate host galaxy stellar masses and recent star-formation rates.We find that the rate of SNe Ia per unit stellar mass is significantly higher(by a factor of ~30) in highly star-forming galaxies compared to passivegalaxies. When parameterizing the SN Ia rate (SNR_Ia) based on host galaxyproperties, we find that the rate of SNe Ia in passive galaxies is not linearlyproportional to the stellar mass, instead a SNR_Ia proportional to M^0.68 isfavored. However, such a parameterization does not describe the observed SN Iarate in star-forming galaxies. The SN Ia rate in star-forming galaxies is wellfit by SNR_Ia = 1.05\pm0.16x10^{-10} M ^{0.68\pm0.01} + 1.01\pm0.09x10^{-3}SFR^{1.00\pm0.05} (statistical errors only), where M is the host galaxy massand SFR is the star-formation rate. These results are insensitive to theselection criteria used, redshift limit considered and the inclusion ofnon-spectroscopically confirmed SNe Ia. We also show there is a dependencebetween the distribution of the MLCS light-curve decline rate parameter,\Delta, and host galaxy type. Passive galaxies host less luminous SNe Ia thanseen in moderately and highly star-forming galaxies, although a population ofluminous SNe is observed in passive galaxies, contradicting previous assertionsthat these SNe Ia are only observed in younger stellar systems. The MLCSextinction parameter, A_V, is similar in passive and moderately star-forminggalaxies, but we find indications that it is smaller, on average, in highlystar-forming galaxies. We confirm these results using the SALT2 light-curvefitter.

The SDSS-II Supernova Survey: Parameterizing the Type Ia Supernova Rate as a Function of Host Galaxy Properties