Not to mention AC has no First Class cabin. AC does not participate in the STAR upgrade program either. If you are an elite (Prestige, Elite or SuperElite) you can use the appropriate upgrade certificate on the AC space ex-LAX, provided you are on the proper fare ticket, and there is space available in the Executive Class cabin within your upgrade confirmation window, or at the gate provided you make the request to standby for an upgrade when you check in, or in your case, get to LAX.