USS Bellerophon (NCC-62048)
In 2367, the Bellerophon participated in the battle against the Borg at Wolf 359. It engaged the attacking Borg cube, alongside the starship USS Yamaguchi, at the time the cube had tractored the starship Saratoga. It was ultimately destroyed in the battle along with 38 other starships. (DS9: "Emissary")
USS Bellerophon (NCC-74705)
The USS Bellerophon (NCC-74705) was an Intrepid-class starship, launched in 2371. Under the command of Admiral William Ross, the Bellerophon transported Federation delegates to Romulus for a conference on Dominion War issues in 2375. (DS9: "Inter Arma Enim Silent Leges")
The Bellerophon sets were, of course, a reuse of the USS Voyager sets from Star Trek: Voyager. The Bellerophon utilized a galley instead of a captain's dining room behind the mess hall. This has led some fans to believe that galley onboard Voyager has led to the creation of galleys on other Intrepid-class vessels, or that the captain's dining room was always capable of being reconfigured into a galley.
The flyby of the Bellerophon after the Romulan interrogation scene actually shows the USS Voyager, as evidenced by its registry number: NCC-74656. This was apparently a re-use of one of the flybys of Voyager.
"Bellerophon", not "Bellerephon", is the correct spelling of the ancient Greek hero. The first (Nebula-class) ship may have been falsely labeled, but the name on the second one (Intrepid-class) was correct.