You asked
Is the canon ef 35mm f 1 4l usm good in low light?
Yes, for low light this is one of the lenses I'd point you toward. Its f/1.4 maximum aperture lets in far more light than a kit zoom, which helps indoors, at events, and at dusk. Primes are also much faster than zooms at a similar price, as I explain in primes or zooms.
It's at its best on full frame. Good pairings from its list include the Canon EOS 5D Mark IV, the Canon EOS 6D Mark II, and the Canon EOS-1D X Mark III if you want a pro-level body. On APS-C it frames like about 56mm, a tighter view, but the Canon EOS 80D still makes a capable low-light partner.
Before you commit to full frame, read the sensor guide. Also note this lens isn't stabilised, so keep your shutter speed up in dim light.
Written by Claude from this site's pages.