  We present JWST NIRCam 9-band near-infrared imaging of the luminous $z=10.6$
galaxy GN-z11 from the JWST Advanced Deep Extragalactic Survey (JADES) of the
GOODS-N field. We find a spectral energy distribution (SED) entirely consistent
with the expected form of a high-redshift galaxy: a clear blue continuum from
1.5 to 4 microns with a complete dropout in F115W. The core of GN-z11 is
extremely compact in JWST imaging. We analyze the image with a two-component
model, using a point source and a S\'{e}rsic profile that fits to a half-light
radius of 200 pc and an index $n=0.9$. We find a low-surface brightness haze
about $0.4''$ to the northeast of the galaxy, which is most likely a foreground
object but might be a more extended component of GN-z11. At a spectroscopic
redshift of 10.60 (Bunker et al. 2023), the comparison of the NIRCam F410M and
F444W images spans the Balmer jump. From population synthesis modeling, here
assuming no light from an active galactic nucleus, we reproduce the SED of
GN-z11, finding a stellar mass of $\sim$$10^{9}~M_{\odot}$, a star-formation
rate of $\sim$$20~M_{\odot}~\mathrm{yr}^{-1}$ and a young stellar age of
$\sim$$20~\mathrm{Myr}$. As massive galaxies at high redshift are likely to be
highly clustered, we search for faint neighbors of GN-z11, finding 9 galaxies
out to $\sim$5 comoving Mpc transverse with photometric redshifts consistent
with $z=10.6$, and a 10$^{\rm th}$ more tentative dropout only $3''$ away. This
is consistent with GN-z11 being hosted by a massive dark-matter halo
($\approx8\times10^{10}~M_{\odot}$), though lower halo masses cannot be ruled
out.
