  We analyze the BPS equations in the ``superstratum sector'' of
three-dimensional gauged supergravity. We obtain multi-parameter supersymmetric
solutions that include elliptical deformations of the supertubes that underlie
standard superstrata. We uplift the three-dimensional solutions to obtain the
corresponding six-dimensional geometries. This yields new families of
elliptically-deformed, ambi-bolar hyper-K\"ahler geometries in four dimensions
with a non-tri-holomorphic $U(1)$ isometry. We also find a new family of
scaling superstrata whose S-dual lives entirely within the NS-sector of
supergravity, and will thus be more amenable to exact analysis using string
probes. In all these new superstrata, including the scaling ones, if the
momentum charge is non-zero we find that the ellipse stays away from the
degeneration locus in which the ellipse becomes flat.
