Here are some key petitions pending a first look by the justices:

Sebelius v. Hobby Lobby Stores: Whether the Religious Freedom Restoration Act allows a for-profit corporation to deny its employees contraceptive coverage under the Affordable Care Act because of its owners’ religious beliefs.

Conestoga Wood Specialties Corp. v. Sebelius: Whether the Affordable Care Act’s mandate to provide employee insurance coverage that includes contraception violates the free exercise rights of the religious owners of for-profit companies.

United States v. Wurie; Riley v. California: Challenges to warrantless searches of cellphones.

Chamber of Commerce v. EPA (and eight other petitions): Whether the Environmental Protection Agency’s regulation of greenhouse gases under the federal Clean Air Act was arbitrary and capricious under the Administrative Procedure Act.

Woolard v. Gallagher: Do state officials violate the Second Amendment by requiring individuals to demonstrate a “good and substantial reason” to carry a handgun for self defense?

Petrella v. Metro-Goldwyn Mayer: Is the defense of laches (which bars a plaintiff from recovery if he or she waited too long to sue without a good reason) available to bar all remedies for copyright claims filed within the three-year statute of limitations?

Susan B. Anthony List v. Driehaus: Does an Ohio law criminalizing false statements in political campaigns violate the First Amendment?