Photometry and spectroscopy for the lensing galaxy. Top left: in the upper panel, blue points indicate the observed photometry from CFHT (MegaCam-u), Subaru (HSC-g), and Euclid (I_E, Y_E, J_E, and H_E), while open squares indicate the model photometry of the same bands. The red line shows the best-fit model SED, and the grey region marks the spectral region from DESI. The lower panel shows the residuals, defined by (data−model)/σ. Top right: The recovered SFH (red line) and the transition boundary (green shaded area) from star forming (dashed black line) to quiescence (solid black line). Bottom: in the upper panel, the spectroscopic data from DESI, with z_d = 0.0424, are shown in blue, while the best-fit model spectrum is shown in red. The vertical dotted lines indicate the central wavelength of various spectral features. The associated lower panel shows the residuals, defined by (data−model)/σ.