Activity Cycles of dM4e Dwarf GJ 1243

The dM4e dwarf GJ 1243 (KIC 9726699) has been a subject of extensive research due to its unique flare activity and the evolution of spots on its surface. This paper presents the results of a study into the long-term activity cycles of this star, derived from archival photometric time series. Observations from three independent surveys in different photometric filters indicate long-timescale variability in the luminosity of GJ 1243, with four characteristic cycle durations (we will number them from 1 to 4), clustered around the following P_cycl values (1 to 3): 1.5 years, 2.6 years, and 6.3 years, respectively, and near P_cycl (4) of the order of 12.3–12.6 years. A detailed analysis of the GJ 1243 data on the logarithmic P_cycl/P_rot versus 1/P_rot diagram and comparisons with other M dwarfs reveal a unified relationship for short cycles across the studied stars.