With the worst mass shooting in American history in the background, the U.S. Supreme Court on June 16 will take its first look at a challenge to Connecticut’s ban on military-style firearms. But as past actions show, the justices may have little interest in revisiting Second Amendment disputes, including the regulation of the AR-15-style weapon reportedly used in the Orlando shootings that killed at least 50 people at a night club.

Since its landmark 2008 ruling in District of Columbia v. Heller, the high court has declined numerous requests by gun rights advocates to examine the scope of protection for firearms—from concealed carry bans to open carry and guns on campus.