The USS Amhurst was a Starfleet starship, one of the oldest still in active service in the 2370s. She was commanded at that time by Captain Li Kashiggo, and had a crew of approximately 700.
An illusory version of the Amhurst was created by the Metrons and destroyed by a Gorn ship, as a way of testing Captain Benjamin Sisko. In reality, the Amhurst had been in drydock undergoing a complete overhaul. (DS9 short story: "Where I Fell Before My Enemy")