What are the powers of the Phoenix (Jean Grey)?

Stricktly speaking the powers the Phoenix gave Jeannie are below:

The Phoenix can revive, absorb, rechannel, and preserve the lifeforce of any kind of lifeform, meaning that she can take life energy from one person and give it to others, heal herself with the same life energy, or even resurrect the dead, since the Phoenix is the sum of all life and death. As Phoenix, Jean's powers escalate to an incalculable level: allowing her to rearrange matter at a subatomic level, fly unaided through space, survive in any atmosphere, and generate massive destructive blasts and atmospheric disturbances. She manifests a "telekinetic sensitivity" (called "the Manifestation of the Phoenix") to objects in her immediate environment that lets her feel the texture of objects, their molecular patterns, feel when other objects come into contact with them, and probe them at a molecular level. When she engages her Phoenix powers, Jean is surrounded in a flame-like energy corona that takes the form of a large bird of prey. As the Phoenix, Jean can resurrect herself after death and is unaffected by the passage of time.

Jean also showed in Endsong that she, as Phoenix, has the ability to absorb Cyclop's optic blasts and feed off of them

well, she's telekinetic and can communicate telepathically, not to mention the coming back from the dead thing.