The level of star formation in elliptical galaxies is poorly constrained, due to difficulties in quantifying the contamination of flux-based estimates of star formation from unrelated phenomena, such as AGN and old stellar populations. We here utilise core-collapse supernovae (CCSNe) as unambiguous tracers of recent star formation in ellipticals within a cosmic volume. We firstly isolate a sample of 421 z < 0.2, r < 21.8 mag CCSNe from the SDSS-II Supernova Survey. We then introduce a Bayesian method of identifying ellipticals via their colours and morphologies in a manner unbiased by redshift and yet consistent with manual classification from Galaxy Zoo 1. We find ~ 25 % of z < 0.2 r < 20 mag galaxies in the Stripe 82 region are ellipticals (~ 28000 galaxies). In total, 36 CCSNe are found to reside in ellipticals. We demonstrate that such early-types contribute a non-negligible fraction of star formation to the present-day cosmic budget, at 11.2 $pm$ 3.1 (stat) $^{+3.0}_{-4.2}$ (sys) %. Coupling this result with the galaxy stellar mass function of ellipticals, the mean specific star formation rate (SSFR; $overline{S}$) of these systems is derived. The best-fit slope is given by log ($overline{S}(M)$/yr) = - (0.80 $pm$ 0.59) log ($M/10^{10.5}rm{M}_{odot}$) - 10.83 $pm$ 0.18. The mean SSFR for all log ($M/rm{M}_{odot}$) > 10.0 ellipticals is found to be $overline{S} = 9.2 pm 2.4$ (stat) $^{+2.7}_{-2.3}$ (sys) $times 10^{-12}$ yr$^{-1}$, which is consistent with recent estimates via SED-fitting, and is 11.8 $pm$ 3.7 (stat) $^{+3.5}_{-2.9}$ (sys) % of the mean SSFR level on the main sequence as also derived from CCSNe. We find the median optical spectrum of elliptical CCSN hosts is statistically consistent with that of a control sample of ellipticals that do not host CCSNe, implying that these SN-derived results are well-representative of the total low-z elliptical population.
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