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We use JWST/NIRCam medium band photometry in a single pointing of theCAnadian NIRISS Unbiased Cluster Survey (CANUCS) to identify 118 ExtremeEmission Line Galaxies (EELGs) over $1.7 \lesssim z \lesssim 6.7$, selectedusing a set of color cuts that target galaxies with extreme $\text{[OIII] +H}\beta$ and H$\alpha$ emission. We show that our medium band color selectionsare able to select galaxies based on emission line equivalent width (EW), whichis advantageous to more commonly used selections since it does not requirestrong continuum emission, and can select galaxies with faint or red continuumfluxes. The median EWs of our sample is $EW(\text{H}\alpha) = 893 $ \AA\ and $EW(\text{[OIII] + H}\beta) = 1255 $ \AA, and includes some objects with$EW(\text{[OIII] + H}\beta) \sim 3000$ \AA. These systems are mostly compactwith low stellar mass (median $\log(M_\star/M_\odot) = 8.03$), low metallicity(median $Z = 0.14 Z_\odot$), little dust (median $A_V = 0.18$ mag) and highSSFR (median $SSFR = 1.18 \times 10^{-8}/yr$). Additionally, galaxies in oursample show increasing EW(\Ha) and EW(\OIIIHb) with redshift, ananti-correlation of EW(\Ha) with stellar mass, and no correlation betweenEW(\OIIIHb) and stellar mass. Finally, we present NIRSpec spectroscopy of 15 ofthe EELGs in our sample. These spectra confirm the redshifts and EWs of theEELGs calculated from the medium bands, which demonstrates the accuracy andefficiency of our color selections. Overall, we show that there are significantadvantages to using medium band photometry to identify and study EELGs at awide range of redshifts.

Spectroscopy from Photometry: A Population of Extreme Emission Line Galaxies at $1.7 \lesssim z \lesssim 6.7$ Selected with JWST Medium Band Filters