WASHINGTON — The Supreme Court on Monday rejected an appeal brought by X, Elon Musk’s social media company, declining to decide whether prosecutors should have been able to obtain data from former President Donald Trump’s Twitter account without him being notified.

The case arose as part of special counsel Jack Smith’s investigation into Trump over alleged election interference in 2020, which the Supreme Court stymied earlier this year by ruling that presidents have broad immunity from prosecution for official acts taken in office. The court left in place a ruling in favor of prosecutors.

Smith has already obtained the data at issue in the appeal brought by X, as Twitter is now known following Musk’s takeover of the social media company.

But X’s lawyers said the Supreme Court should intervene so that prosecutors cannot take similar actions in the future without the person involved being made aware that their data is being handed over to the government. Trump himself is not involved in the case.

Among other things, Trump was not able to make any arguments about how the material in question might be protected because of his role as president, the lawyers said in court papers. They say that the nondisclosure order violated X’s free speech rights.

The case dates to January of last year, when the government sought a warrant under a law called the Stored Communications Act as part of Smith’s investigation. A federal judge approved the warrant, as well as a nondisclosure order that prevents X from telling Trump or anyone else about it. Smith’s team had argued that there was a potential for evidence to be destroyed or tampered with if the warrant was made public.

X initially resisted and was subsequently hit with civil penalties worth $350,000 before agreeing to comply. The U.S. Circuit Court of Appeals for the District of Columbia upheld the district court’s decision. During the litigation, Smith agreed that Trump could be notified about the warrant.