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We propose that KIC 1573174 is a quadruple-mode $\delta$ Scuti star withpulsation amplitudes between those of the HADS (high-amplitude Delta Scutistar) group and average low-amplitude pulsators. The radial modes detected inthis star provide a unique opportunity to exploit asteroseismic techniques upto their limits. Detailed frequency analysis is given for the light curve fromthe Kepler mission. The variation of the light curve is dominated by thestrongest mode with a frequency of F0 = 7.3975 $\rm{d^{-1}}$, as shown byFourier analysis of long cadence data (Q1-Q17, spanning 1460 days), indicatingthat the target is a $\delta$ Scuti star. The other three independent modeswith F1 = 9.4397 d$^{-1}$, F2 = 12.1225 d$^{-1}$ and F3 = 14.3577 d$^{-1}$,have ratios of $P_{1}$ / $P_{0}$, $P_{2}$ / $P_{0}$ and $P_{3}$ / $P_{0}$estimated as 0.783, 0.610 and 0.515, which indicate that KIC 1573174 is aquadruple-mode $\delta$ Scuti star. A different approach has been used todetermine the $O-C$ through the study of phase modulation. The change of period$(1/P)~dP/dt$ is obtained resulting in $-1.14 \times 10^{-6}~\text{yr}^{-1}$and $-4.48 \times 10^{-6}~\text{yr}^{-1}$ for F0 and F1 respectively. Based onfrequency parameters (i.e., F0, F1, F2, and F3), a series of theoretical modelswere conducted by employing the stellar evolution code MESA. The ratio ofobserved $f_{1}/f_{2}$ is larger than that of the model, which may be caused bythe rotation of the star. We suggest high-resolution spectral observation ishighly desired in the future to further constrain models.

Frequency analysis of KIC 1573174 : shedding light on the nature of HADS stars