2010 EU65 follows a low eccentricity orbit (0.060) with a semi-major axis of 19.30 AU. This object also has moderate orbital inclination (14.8º). Unfortunately, its orbit is not well determined as it is currently (September 2015) based on 26 observations with a data-arc span of 85 days.
Based on its current heliocentric orbit, 2010 EU65 follows a horseshoe orbit around Uranus' L3 point. Giving the fact that its orbit is, at present, poorly determined, the object is a promising Uranus horseshoe orbiter candidate.