They have the potential to throw the stock exchange into turmoil, trigger frenzy on bond markets and bring down the German Government.
So the eyes and ears of the eurozone will be on the eight red-robed judges of Germany's highest court this week when they deliver a long-awaited verdict on whether a financial rescue fund considered crucial to the future of the euro gets the green light.
The Constitutional Court is under international pressure to rule in favour of the European stability mechanism and fiscal pact. A dissenting ruling from the court, based in Karlsruhe, southwestern Germany, would probably cause havoc on money markets and cast doubt on the future of Europe's single currency.
"The German Constitutional Court cannot afford to be seen as not being independent, but it also cannot afford to be seen as the court that brought down the Government," said Constanze Stelzenmuller, a senior transatlantic fellow at the German Marshall Fund in Berlin.
"They're going to have to try to square the circle: in other words, not bring down the Government at the same time as asserting their independence."