Which object right allows a trustee to remove an object from the eDirectory tree?

Erase is not a valid or defined eDirectory object right - it does not exist in the eDirectory rights model.

Modify is a valid object right but it controls renaming or moving an object within the tree, not removing it.

Delete is one of the defined eDirectory object rights and specifically controls whether a trustee can remove an object entirely from the eDirectory tree. Without this right, a trustee cannot destroy an object even if they hold all other object rights. It is distinct from property rights and only applies to the act of object removal.

Rename is a valid object right that allows changing an object's common name, not deleting it from the tree.

Remove is not a defined eDirectory object right - Delete is the correct term for the removal permission.

Edit is not a defined eDirectory object right and does not appear in the standard eDirectory access control model.