Dakota Access LLC, operator of the eponymous crude oil conduit ensnared in a legal battle over its right to stay in operation after a federal judge vacated a critical easement, has asked the U.S. Supreme Court to weigh in on its case.

The questions presented by counsel representing the 1,172-mile Dakota Access Pipeline (DAPL) could have broader implications for energy infrastructure subject to review under the National Environmental Policy Act (NEPA), according to analysts.

In a petition for a writ of certiorari filed with the Supreme Court Monday, DAPL’s counsel presented two key questions to the court. First, they want the justices to determine whether NEPA requires “an agency that carefully considers all criticisms of its environmental analysis” to “also ‘resolve’...