SAN FRANCISCO — As the Federal Communications Commission released long-awaited rules for broadband Internet service on Thursday, lawyers for AT&T Mobility LLC asked a federal judge to toss a lawsuit brought by a separate federal agency last year claiming AT&T misled some smartphone customers with unlimited-data plans.

AT&T’s lawyers at Kellogg, Huber, Hansen, Todd, Evans & Figel and Sidley Austin argued Thursday that the company’s status as a “common carrier” under purview of the FCC shields it from Federal Trade Commission enforcement actions.