Canon SL3 has a Canon EF/EF-S lens mount and currently there are 326 native lenses available for this mount.
Canon SL3 doesn't have a sensor based image stabilization system but 112 of these lenses already comes with optical image stabilization.
Since Canon SL3 has a APS-C sensor, it has a focal length multiplier of 1.6x so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on SL3.
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Canon SL3 Lenses with Image Stabilization
Canon SL3 Lenses with Weather Sealings