You can Coup de Grace with any power, and a basic attack is definitely a power regardless if it comes at the end of a charge, the consequence of an opportunity attack, or a warlord's prompting.
Charging is a standard action and CdG is a standard action. So no, you can't charge + CdG.
Charging is a standard action and CdG is a standard action. So no, you can't charge + CdG.
Turns out you are correct. While it is true you can use most any power for a Coup de Grace, the Coup de Grace itself takes an independant standard action.
If you had a hypothetical power that allowed you to charge as part of the attack, you could coup de grace with a charge...
About the closest you can get is coup de grace-ing with a power like deft strike or hit and run that lets you move X squares before the attack. You obviously wouldn't get the charge bonus then, though.
Remember that you can only use Coup De Grace on an adjacent opponent.
So you can use Deft Strike... but only if you're adjacent when you use the power. You can't start two squares away and use Deft Strike to Coup De Grace, but you can start adjacent, and use Deft Strike to Coup De Grace by moving two squares around the opponent (remaining adjacent).
Similarly, it's essentially impossible to charge as part of a Coup De Grace, unless you have a power that says "Move two squares and then charge"... because you need two squares to charge, and you need to be adjacent to Coup De Grace. You can't simultaneously be adjacent and two squares away, so unless you power lets you back up and then charge, you won't be in a position where both a Coup De Grace and a power-that-includes-a-charge are legal at the same time.
(Similarly, if a Ranger is adjacent to an opponent, and says "I use Nimble Strike to shift one square back, and shoot!", he provokes an OA. Not for the shift; not for the bowshot; but because he used a Ranged Power - Nimble Strike - while adjacent to an enemy.)
-Hyp.
Remember that you can only use Coup De Grace on an adjacent opponent.
So you can use Deft Strike... but only if you're adjacent when you use the power. You can't start two squares away and use Deft Strike to Coup De Grace, but you can start adjacent, and use Deft Strike to Coup De Grace by moving two squares around the opponent (remaining adjacent).
Similarly, it's essentially impossible to charge as part of a Coup De Grace, unless you have a power that says "Move two squares and then charge"... because you need two squares to charge, and you need to be adjacent to Coup De Grace. You can't simultaneously be adjacent and two squares away, so unless you power lets you back up and then charge, you won't be in a position where both a Coup De Grace and a power-that-includes-a-charge are legal at the same time.
(Similarly, if a Ranger is adjacent to an opponent, and says "I use Nimble Strike to shift one square back, and shoot!", he provokes an OA. Not for the shift; not for the bowshot; but because he used a Ranged Power - Nimble Strike - while adjacent to an enemy.)
-Hyp.