When the supreme court wants to hear a case they issue a

When the supreme court wants to hear a case they issue a summon.

Explanation:

Summons: This is a paper that tells a defendant that he or she is being sued and asserts the power of the court to hear and determine the case. A form of legal process that commands the defendant to appear before the court on a specific day and to answer the complaint made by the plaintiff.

The Supreme Court functions as a last resort tribunal. Its rulings cannot be appealed. It also decides on cases dealing with the interpretation of the constitution. (for example, it can overturn a law passed by Congress if it deems it unconstitutional)

writ of certiorari

Explanation:

Writ of certiorari is a court process issued when a higher court wants to review the decision made by a lower court on a particular case. When this is issued a higher court is asking a lower court to send their record for review.

Writ of certiorari is filed by someone or a group appealing to the supreme Court against the decision made at the lower court. Should in case four justice agrees that the case be reviewed then the case will be hear in court.