Can you score a point from the same battlefield twice in one turn by leaving it empty and re-entering it?

Ruling: No, you can score each battlefield only once per turn, regardless of whether you leave and re-enter it.

Nuances:

• If you lose control of a battlefield during your turn and regain control in the same turn, you do not score another point
• Regaining control of a battlefield during your turn (after losing it) does not count as "conquering" it, as conquering is specifically part of the scoring process
• You can be in control of a battlefield without having conquered it