Abstract: A Type Ia supernova (SN) at z = 1.78 was discovered in James Webb Space Telescope Near Infrared Camera imaging of the galaxy cluster PLCK G165.7+67.0 (G165; z = 0.35). The SN is situated 1.5?2 kpc from the host galaxy nucleus and appears in three different locations as a result of gravitational lensing by G165. These data can yield a value for Hubble?s constant using time delays from this multiply imaged SN Ia that we call ?SN H0pe.? Over the cluster, we identified 21 image multiplicities, confirmed five of them using the Near-Infrared Spectrograph, and constructed a new lens model that gives a total mass within 600 kpc of (2.6 ± 0.3) × 1014 Me. The photometry uncovered a galaxy overdensity coincident with the SN host galaxy. NIRSpec confirmed six member galaxies, four of which surround the SN host galaxy with relative velocity ?900 km s?1 and projected physical extent ?33 kpc. This compact galaxy group is dominated by the SN host galaxy, which has a stellar mass of (5.0 ± 0.1) × 1011 Me. The group members have specific star formation rates of 2?260 Gyr?1 derived from the H?-line fluxes corrected for stellar absorption, dust extinction, and slit losses. Another group centered on a strongly lensed dusty star-forming galaxy is at z = 2.24. The total (unobscured and obscured) SFR of this second galaxy group is estimated to be (? 100 Me yr?1 ), which translates to a supernova rate of ?1 SNe yr?1 , suggesting that regular monitoring of this cluster may yield additional SNe.

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