We present 7 spectroscopically confirmed Type II cluster supernovae (SNeII) discovered in the Multi-Epoch Nearby Cluster Survey, a supernova survey targeting 57 low redshift 0.05 < z < 0.15 galaxy clusters with the Canada-France-Hawaii Telescope. We find the rate of Type II supernovae within the virial radius of these galaxy clusters to be 0.026 (+0.085 -0.018 stat; +0.003 -0.001 sys) SNe per century per 1e10 solar masses. Surprisingly, one SNII is in a red sequence host galaxy that shows no clear evidence of recent star formation. This is unambiguous evidence in support of ongoing, low-level star formation in at least some cluster elliptical galaxies, and illustrates that galaxies that appear to be quiescent cannot be assumed to host only Type Ia SNe. Based on this single SNII we make the first measurement of the SNII rate in red sequence galaxies, and find it to be 0.007 (+0.014 -0.007 stat; +0.009 -0.001 sys) SNe per century per 1e10 solar masses. We also make the first derivation of cluster specific star formation rates (sSFR) from cluster SNII rates. We find that for all galaxy types, sSFR is 5.1 (+15.8 -3.1 stat; +0.9 -0.9 sys) solar masses per year per 1e12 solar masses, and for red sequence galaxies only, it is 2.0 (+4.2 -0.9 stat; +0.4 -0.4 sys) solar masses per year per 1e12 solar masses. These values agree with SFRs measured from infrared and ultraviolet photometry, and H-alpha emission from optical spectroscopy. Additionally, we use the SFR derived from our SNII rate to show that although a small fraction of cluster Type Ia SNe may originate in the young stellar population and experience a short delay time, these results do not preclude the use of cluster SNIa rates to derive the late-time delay time distribution for SNeIa.
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