If you're asking what the Court was called in 1962, it was referred to as the Warren Court. The US Supreme Court is often informally referred to by the last name of the Chief Justice.
Chief Justice Earl Warren presided over the Court from 1953-1969.
Another name for the supreme court is the highest court or the highest judicial body in a country.
The supreme court
The correct name is the Supreme Court of the United States, but most people refer to it as the US Supreme Court. Each state has its own Supreme Court, but the US Supreme Court is the end of the line.
The Supreme Court
The most common name for the Supreme Court is the US Supreme Court; the proper name is Supreme Court of the United States. Some people also refer to it as the "high court" or "the court of last resort," because it is the highest appellate court in the United States (for cases that fall under its jurisdiction). Some have also referred to the US Supreme Court as "the last court still sitting," because it has been in continuous operation since 1790 (excluding 1802), and the justices still follow many of the old traditions.
The supreme court
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US Supreme Court decisions are called opinions.
The supreme court meets in the supreme court building.
The correct name is the Supreme Court of the United States, but most people refer to it as the US Supreme Court. Each state has its own Supreme Court, but the US Supreme Court is the end of the line.
The Supreme Court
Supreme Court