Ships of the class
- USS Relativity (NCV-474439-G)
"The inspiration for the ship was a blended arrowhead sort of shape with a lot of roller coaster curves, upon which were drawn most of the little details that were familiar to older Starfleet ships. Those details were evolved, but one could still see what they were for. The Bussard collector caps were turned and stretched, but they're there. Same with the phaser strips, lifeboats, etc." 
The scale included on Sternbach's design schematics indicates an overall length of approximately 640 feet (195 meters). Nine decks are shown in the side view.
Within the New Frontier novels, it is stated that the ships possessed an anti-proton beam in addition to phaser arrays.
Star Trek Online
In Star Trek Online, the Wells-class timeship (classified in-game as a "Temporal Science Vessel") can be obtained by Federation players through the Temporal Lock Box. The Wells-class has a mirror universe alternative model, the Mobius-class "Temporal Destroyer", operated by the Terran Empire.
In a mission released to celebrate the game's third anniversary, a Wells-class ship called the USS Pastak appears to assist the player in battle against Tholians in the Azure Nebula and correct damage done to the timeline by the appearance of the USS Enterprise-C in the 25th century. The Pastak and its commander, Captain Benjamin Walker, later go on to be the player's contact and chaperone in attending the 28th-century signing of the Temporal Accords, a galactic treaty regulating the use of time travel and temporal alteration, as well as helping defend against Krenim and Na'kuhl terrorists, led by "the Envoy" - revealed as rogue Krenim scientist Noye - intent on disrupting the event in both the 28th and 25th centuries.