The Trump administration and Harvard University on Monday traded barbs in a critical hearing in Boston over the government’s threats to slash billions of dollars in the Ivy League school’s federal research funding.

Harvard’s odds to win its Boston court battle look favorable—but the larger war is up in the air. Legal analysts say Harvard has a strong case in arguing that the U.S. government improperly cut $2.2 billion in federal funding from the Ivy League school.

Harvard University appeared in federal court Monday in a pivotal case in its battle with the Trump administration, as the storied institution argued the government illegally cut $2.6 billion in federal funding.