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We present the supernova (SN) sample and Type-Ia SN (SN Ia) rates from theCluster Lensing And Supernova survey with Hubble (CLASH). Using the AdvancedCamera for Surveys and the Wide Field Camera 3 on the Hubble Space Telescope(HST), we have imaged 25 galaxy-cluster fields and parallel fields ofnon-cluster galaxies. We report a sample of 27 SNe discovered in the parallelfields. Of these SNe, ~13 are classified as SN Ia candidates, including four SNIa candidates at redshifts z > 1.2. We measure volumetric SN Ia rates toredshift 1.8 and add the first upper limit on the SN Ia rate in the range 1.8 <z < 2.4. The results are consistent with the rates measured by the HST/GOODSand Subaru Deep Field SN surveys. We model these results together with previousmeasurements at z < 1 from the literature. The best-fitting SN Ia delay-timedistribution (DTD; the distribution of times that elapse between a short burstof star formation and subsequent SN Ia explosions) is a power law with an indexof -1.00 +0.06(0.09) -0.06(0.10) (statistical) +0.12 -0.08 (systematic), wherethe statistical uncertainty is a result of the 68% and 95% (in parentheses)statistical uncertainties reported for the various SN Ia rates (from this workand from the literature), and the systematic uncertainty reflects the range ofpossible cosmic star-formation histories. We also test DTD models produced byan assortment of published binary population synthesis (BPS) simulations. Theshapes of all BPS double-degenerate DTDs are consistent with the volumetric SNIa measurements, when the DTD models are scaled up by factors of 3-9. Incontrast, all BPS single-degenerate DTDs are ruled out by the measurements at a>99% significance level.

Type-Ia Supernova Rates to Redshift 2.4 from CLASH: the Cluster Lensing And Supernova survey with Hubble