NEW YORK — The U.S. stock market’s record-breaking rally slowed on Monday after uncertainty rose over the weekend about what will happen next in the Iran war, while oil prices rose.

The S&P 500 inched 0.1% higher to its latest all-time high, a downshift following weeks of big gains driven by strong corporate profit reports and hopes that the economy can avoid a worst-case scenario because of the war. The Dow Jones Industrial Average dipped 62 points, or 0.1%, while the Nasdaq composite rose 0.2% to its own record.

The moves were stronger in the oil market, where prices climbed more than 2.5% as tankers find the Strait of Hormuz still effectively closed. That’s keeping crude stuck in the Middle East and away from customers worldwide, including oil produced by Iran that’s being blockaded by the U.S. Navy.

Iran has offered to reopen the strait if the United States ends its blockade, while proposing that discussions on the larger question of its nuclear program would come in a later phase. But U.S. President Donald Trump seems unlikely to accept the offer, which was passed to the Americans by Pakistan.

The price for a barrel of Brent crude to be delivered in June climbed 2.8% to settle at $108.23. Brent to be delivered in July, which is where more of the trading is happening in the oil market, rose 2.6% to $101.69 per barrel.