  Making use of strong correlations between closely separated multiple or
double sources and photometric and astrometric metadata in Gaia EDR3, we
generate a catalog of candidate double and multiply imaged lensed quasars and
AGNs, comprising 3140 systems. It includes two partially overlapping parts, a
sample of distant (redshifts mostly greater than 1) sources with perturbed
data, and systems resolved into separate components by Gaia at separations less
than $2\arcsec$. For the first part, which is roughly one third of the
published catalog, we synthesized 0.617 million redshifts by multiple machine
learning prediction and classification methods, using independent photometric
and astrometric data from Gaia EDR3 and WISE with accurate spectroscopic
redshifts from SDSS as a training set. Using these synthetic redshifts, we
estimate a rate of 4.9\% of interlopers with spectroscopic redshift below 1 in
this part of the catalog. Unresolved candidate double and dual AGNs and quasars
are selected as sources with marginally high BP/RP excess factor
(phot_bp_rp_excess_factor), which is sensitive to source extent, limiting our
search to high-redshift quasars. For the second part of the catalog, additional
filters on measured parallax and near-neighbor statistics are applied to
diminish the propagation of remaining stellar contaminants. The estimated rate
of positives (double or multiple sources) is 98\%, and the estimated rate of
dual (physically related quasars) is greater than 54\%. A few dozen
serendipitously found objects of interest are discussed in more detail,
including known and new lensed images, planetary nebulae and young infrared
stars of peculiar morphology, and quasars with catastrophic redshift errors in
SDSS.
