We report on the detection of three transiting small planets around the low-mass star LP 358-499 ( K2-133 ) , using photometric data from the Kepler-K2 mission . Using multiband photometry , we determine the host star to be an early M dwarf with an age likely older than a Gigayear . The three detected planets K2-133 b , c , and d have orbital periods of ca . 3 , 4.9 and 11 days and transit depths of ca . 700 , 1000 and 2000 ppm , respectively . We also report a planetary candidate in the system ( EPIC 247887989.01 ) with a period of 26.6 days and a depth of ca . 1000 ppm , which may be at the inner edge of the stellar habitable zone , depending on the specific host star properties . Using the transit parameters and the stellar properties , we estimate that the innermost planet may be rocky . The system is suited for follow-up observations to measure planetary masses and JWST transmission spectra of planetary atmospheres .