They are olympic coven.
The Cullens belong to the Cullen clan. They are not part of a traditional vampire clan, as they mostly keep to themselves and form their own coven.
Including the Cullens, there are seven different vampire covens. The Amazon Coven, the Denali Coven, the Egyptian Coven, the Irish Coven, the Olympic Coven (The Cullens), the Romanian Coven and the Volturi Coven. There is also the Volturi Guard, the American Nomads, and the European Nomads.
The Denali Coven, who are like extended family to the cullens and live in Alaska
the Cullen coven
the cullens, the denalial clan ,the American nomads,the European nomads{except allistar},the Irish coven,the eygption coven {except for ammn}, the arazionian coven, and the wolf packs. they were all fighting the volteri to protect renesmee and the cullens from being exueted
The Amazon coven The Denali Coven The Egyptian Coven The Irish Coven The Olympic Coven The Romanian Coven The Volturi Coven
Carlisle's coven are the Olympic coven. It tells you in the vampire index at the end of breaking dawn.
The Cullens.
The cousins are the Anchorage coven : Carmen & Eleazar, Kate, Irina and Tanya
The Cullens leave in New Moon to protect Bella from the dangers posed by their presence and to prevent themselves from exposing their true nature to the humans in Forks. They believe it is safer for Bella to be away from them, especially after an incident at her birthday party where a minor injury inflicted by Jasper brought the danger of their presence to the forefront.
They are the heads of the Olympic Coven. It is named that way because they live in the Olympic Peninsula in western Washington State. On the back of Breaking Dawn -the book- You'll find a list with all the covens.