X-rays emission (top and middle) and Hα pseudoequivalent width (bottom) vs rotational periods of the Carmencita M dwarfs. Magenta filled circles represent fast rotating stars that fulfill Eq. (7), blue open diamonds represent X-ray active stars that satisfy Eq. (9), and blue open circles represent chromospherically active stars that fulfill Eq. (11). The complete sample of study is represented with grey dots. Horizontal blue long-dashed lines in the top and middle panels represent the median saturation limit, while the black solid line follows a power law L_X/L_J ∝ P². Vertical and horizontal black dashed lines in the bottom panel mark the 10 d and −0.30 Å boundaries of Shan et al. (2024) and Schöfer et al. (2019), respectively.