Beta Epsilon on a mission order
Beta Epsilon system was a star system. This system was mentioned in an order received by the USS Tycho. In 2364 or 2365, Starfleet had ongoing operations in this system and another. (TNG: "Conspiracy")
Presumably, the Beta Epsilon system was located in the Alpha Quadrant.
The system was never mentioned in dialog; this name came from a mission order.
The other system was "Alpha -"; the rest was illegible.