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Given their extremely large distances and small apparent sizes, quasars aregenerally considered as objects with near-zero parallax and proper motion.However, some special quasars may have abnormal astrometric characteristics,such as quasar pairs, lensed quasars, AGNs with bright parsec-scale opticaljets, which are scientifically interesting objects, such as binary black holes.These quasars may come with astrometric jitter detectable with Gaia data, orsignificant changes in the position at different wavelengths. In this work, weaim to find these quasar candidates from Gaia EDR3 astrometric data combiningwith Sloan Digital Sky Survey (SDSS) spectroscopic data to provide a candidatecatalog to the science community. We propose a series of criteria for selectingabnormal quasars based on Gaia astrometric data. We obtain two catalogscontaining 155 sources and 44 sources, respectively. They are potentialcandidates of quasar pairs.

SQUAB I: The first release of Strange QUasar candidates with ABnormal astrometric characteristics from Gaia EDR3 and SDSS