Republican officials from 26 states and a small-business association on Wednesday asked the Supreme Court to consider their challenge to the Obama administration’s health-care overhaul.

The challengers won a notable victory in August when the 11th U.S. Circuit Court of Appeals in Atlanta struck down the law’s requirement that individuals must carry health insurance or pay a penalty. The appeals court, however, refused to invalidate the entire health-care law, saying the rest of its provisions should remain “legally operative.”

The appeals court also rejected the states’ attack against the law’s expansion of Medicaid, a federal-state partnership that provides health care to low-income Americans.