Canon SL2 has a Canon EF/EF-S lens mount and currently there are 319 native lenses available for this mount.
Canon SL2 doesn't have a sensor based image stabilization system but 107 of these lenses already comes with optical image stabilization.
Since Canon SL2 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 SL2.
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Canon SL2 Lenses with Image Stabilization
Canon SL2 Lenses with Weather Sealings