Isn't the case brought to one judge and they convince the Court to take the case? If that's true it would be interesting to find out which judge convinced the Court to hear the case.
When a case is brought to SCOTUS for consideration, it is a request for a writ of certiorari. If SCOTUS concurs, it is called "granting cert". It takes 4 justices to concur in order to "grant cert".
If cert is granted, then briefs are filed and a date for oral argument is set ...