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We propose for the first time that KIC 12602250 is a low-amplitude radialdouble-mode $\delta$ Scuti star with amplitude modulation. The detailedfrequency analysis is given for the light curve of KIC 12602250 which isdelivered from the Kepler mission. The Fourier analysis of the long cadencedata (i.e. Q0 - Q17, spanning 1471 days) reveals that the variations of thelight curve are dominated by the strongest mode with frequency F0 = 11.6141$\rm{d^{-1}}$, suggesting that KIC 12602250 is a $\delta$ Scuti star. The otherindependent mode F1 = 14.9741 $\rm{d^{-1}}$ is newly detected. The amplitude ofthe light variations of \target is $\sim$ 0.06 mag, which indicates that thisis a low-amplitude $\delta$ Scuti star, but the ratio of F0/F1 is estimated as0.7756 which is typical of HADS, and a slow amplitude growth is detected in F1and $f_{3}$, which could be due to stellar evolution, suggesting that KIC12602250 could be a post main sequence $\delta$ Scuti which is crossing theinstability strip for the first time.

KIC 12602250: A low-amplitude Double-mode $\delta$ Scuti star with Amplitude Modulation