The Bifrost is the home of the main Ginnungagap cast through the entire first season. Statements from the writers mark it as 300-meters long and two-thirds of that wide. Being a Mars Protectorate ship, it's essentially comparable to a giant animal or plant. During the First Season we see a wide variety of indoors locations, including parks and at least one restaurant. Despite the size and amenities, the Bifrost seems sparsely populated, with only twelve people on board.(a bridge crew of six: Andre, Mackie, Frank, Barry, Ozzy and Derek plus the six main characters).
As of the second episode, little is known of her capabilities except that she's definitely armed and quite fast, though the one situation where her weapons have been deployed, their effect was minimal.