The asteroid was discovered by Robert Luther on March 14, 1885, in Düsseldorf.
It was named after Eucrate, a Nereid in Greek mythology.
In 2001, the asteroid was detected by radar from the Arecibo Observatory at a distance of 1.18 AU.
The resulting data yielded an effective diameter of 134 ± 15 km.
[4] The latest of 2018 May 12 was a 5 chord observation that allows, using Occult (Software), the scaling of the DAMIT model 1207, to yield a mean volume-equivalent diameter of 137.5 km and a mean surface-equivalent diameter of 140.0 km.