  The Born cross sections and effective form factors of the process
$e^+e^-\to\Lambda\bar\Sigma^0 + c.c.$ are measured at 14 center-of-mass energy
points from 2.3094 to 3.0800 GeV, based on data corresponding to an integrated
luminosity of $(478.5 \pm 4.8)\ \text{pb}^{-1}$ collected with the BESIII
detector. A non-zero Born cross section is observed at the center-of-mass
energy of 2.3094 GeV with a statistical significance of more than five standard
deviations, and the cross sections at other energies are obtained with improved
precision compared to earlier measurements from the BaBar Collaboration. The
Born cross-section lineshape is described better by a shape with a plateau near
the threshold than by a pQCD motivated functional form.
