In the mirror universe, the Mobius-class was a Terran temporal destroyer timeship in Imperial Starfleet service during the 29th century. (Star Trek Online official website: Season 6 Dev Blog #29) In 2409, the Tholian Assembly utilized multi-dimensional phasing technology to penetrate the borders of spatial dimensions and the space-time continuum itself, allowing for the retrieval of future starships. This enabled the Lobi Crystal Consortium to sell Mobius-class temporal destroyers to Federation Starfleet (STO website: Temporal Lock Box)
History and specifications
The Mobius-class of ships was in service in the 29th century. The vessels crewed 250 officers and was equipped with a Manheim device. Compared to its regular universe counterpart, the Wells-class temporal science vessel, the Mobius-class was more geared for combat rather than the protection of the timeline. Mobius-class ships in Federation Starfleet could carry the registry number prefix NCV and the ship name prefix ISS instead of NCC and USS.
In the 25th century, the hull design of the Mobius-class temporal destroyer allowed its commanding officer to choose from different livery materials. These could be modified at shipyards. The material options included numbered Types and named hull materials. Owning other 29th century timeships unlocked additional materials. (STO - Klingon War mission: "Welcome to Earth Spacedock" Mobius hull materials:
Furthermore, the installation of deflector shields from specific factions modified the hull appearance, including shields from the Reman Resistance, the Breen Confederacy and the Dominion. (STO missions: "Coliseum", "Cold Storage", "Boldly They Rode")