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We present multi-band photometry and multi-epoch spectroscopy of the peculiarType Ia supernova (SN Ia) 2007qd, discovered by the SDSS-II Supernova Survey.It possesses physical properties intermediate to those of the peculiar SN2002cx and the extremely low-luminosity SN 2008ha. Optical photometry indicatesthat it had an extraordinarily fast rise time of <= 10 days and a peak absoluteB magnitude of -15.4 +/- 0.2 at most, making it one of the most subluminous SNIa ever observed. Follow-up spectroscopy of SN 2007qd near maximum brightnessunambiguously shows the presence of intermediate-mass elements which are likelycaused by carbon/oxygen nuclear burning. Near maximum brightness, SN 2007qd hada photospheric velocity of only 2800 km/s, similar to that of SN 2008ha butabout 4000 and 7000 km/s less than that of SN 2002cx and normal SN Ia,respectively. We show that the peak luminosities of SN 2002cx-like objects arehighly correlated with both their light-curve stretch and photosphericvelocities. Its strong apparent connection to other SN 2002cx-like eventssuggests that SN 2007qd is also a pure deflagration of a white dwarf, althoughother mechanisms cannot be ruled out. It may be a critical link between SN2008ha and the other members of the SN 2002cx-like class of objects.

The Subluminous Supernova 2007qd: A Missing Link in a Family of Low-Luminosity Type Ia Supernovae