  In a 1975 paper of Birch and Swinnerton-Dyer, a number of explicit norm form
cubic surfaces are shown to fail the Hasse Principle. They make a
correspondence between this failure and the Brauer--Manin obstruction, recently
discovered by Manin. We generalize their work, making use of modern computer
algebra software to show that a larger set of cubic surfaces have a
Brauer--Manin obstruction to the Hasse principle, thus verifying the
Colliot-Th\'el\`ene--Sansuc conjecture for infinitely many cubic surfaces.
