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"Which card is this?"
In this context, "AMEX" means an American Express card that participates in the "Membership Rewards" program. MR points transfer to several different FFPs.
AA does operate its own flights to Europe -- including an LAX-LHR nonstop -- but it can be challenging at times to find premium-cabin award seats at the "SAAver" (low-tier) level. AA also has several partners that fly to Europe from North America with low or no surcharges: AB, AY, IB, TN, and 9W. Of special interest to you may be TN's year-round LAX-CDG nonstop; AB's seasonal LAX-DUS nonstop; and IB's seasonal LAX-MAD nonstop.