The ship commanded by Edward Kenway in Assassin's Creed IV: Black Flag is the Jackdaw.
Edward acquires the vessel early in the story and uses it as his base while sailing through the Caribbean. The Jackdaw can be upgraded with stronger hull armor, heavier weapons, improved storage, and better performance, making ship customization a major part of the game.
Naval gameplay is one of Black Flag's defining features. Players steer the ship, use broadside cannons, pursue targets, board enemy vessels, and search for resources. The ship also supports fast travel between many islands and ports.
The Jackdaw is often confused with other Assassin's Creed vessels. The Aquila belongs to Connor in Assassin's Creed III, while the Morrigan is Shay Cormac's ship in Rogue. These ships reflect different protagonists and historical settings rather than alternate names for Edward's vessel.