Background information Edit
Although the Excelsior-class ship seen in "Chrysalis" was not specifically mentioned to be the Farragut, it can be inferred as such through the script, which makes note of a docked starship before cutting to the scene that refers to the Farragut having just docked.
This inference was also confirmed by the Star Trek Encyclopedia (4th ed., vol. 1, p. 262), which also stated that the Excelsior-class ship was the Farragut. Furthermore, the authors speculate that this Farragut was an older ship which was retired, then re-commissioned after the destruction of the Nebula-class USS Farragut.
The Starships RPG sourcebook gives this ship's registry as NCC-2582.