The first Saturday I see on EF is Oct 24th 2009. LX15 and LX17 both have 2 seats in First on each flight (O-class). The following Sun, Mon have the same. Tues 2 F seats on LX15 but only 1 on LX15.
Going one week back, only LX15 has availability, 2 F seats Sat, Sun. Mon, Tue both flights have 2 seats.
Skipping to Oct 10th both flights have 2 seats for all days Sat-Tue.
For LAX-ZRH I am not getting any hits on LX non-stop flight.