  We report the rotational lightcurves of 21 trans-Neptunian objects (TNOs) in
Neptune's 2:1 mean motion resonance obtained with the 6.5 m Magellan-Baade
telescope and the 4.3 m Lowell Discovery Telescope. The main survey's goal is
to find objects displaying a large lightcurve amplitude which is indicative of
contact binaries or highly elongated objects. In our sample, two 2:1 resonant
TNOs showed a significant short-term lightcurve amplitude: 2002 VD$_{130}$ and
(531074) 2012 DX$_{98}$. The full lightcurve of 2012 DX$_{98}$ infers a
periodicity of 20.80$\pm$0.06h and amplitude of 0.56$\pm$0.03mag whereas 2002
VD$_{130}$ rotates in 9.85$\pm$0.07h with a 0.31$\pm$0.04mag lightcurve
amplitude. Based on lightcurve morphology, we classify (531074) 2012 DX$_{98}$
as a likely contact binary, but 2002 VD$_{130}$ as a likely single elongated
object. Based on our sample and the lightcurves reported in the literature, we
estimate the lower percentage of nearly equal-sized contact binaries at only
7-14$\%$ in the 2:1 resonance, which is comparable to the low fraction reported
for the dynamically Cold Classical trans-Neptunian objects. This low contact
binary fraction in the 2:1 Neptune resonance is consistent with the lower
estimate of the recent numerical modeling. We report the Sloan g', r', i'
surface colors of 2002 VD$_{130}$ which is an ultra-red TNO whereas 2012
DX$_{98}$ is a very red object based on published surface colors.
