  The nearby M2 dwarf GJ 3470 has been the target of considerable interest
after the discovery of a transiting short-period Neptune-sized planet.
Recently, claims regarding the existence of additional transiting planets has
gotten some attention, suggesting both the presence of a gas giant in the
habitable zone, and that the system hosts a remarkable co-orbital gas giant
configuration. We show that the existence of these three additional planets are
readily amenable to testing with available data from both ground-based radial
velocity data and space-based TESS photometry. A periodogram search of the
available radial velocities show no compelling signals at the claimed periods,
and the TESS photometry effectively rules out these planets assuming a
transiting configuration. While it is doubtlessly possible that additional
planets orbit GJ 3470, there is no evidence to date for their existence, and
the available data conclusively rule out any planets similar to those
considered in this text.
