A young Mississippi couple appeared in court Tuesday to face federal charges for allegedly attempting to join the anti-American Islamic State terrorist group, also referred to as the Islamic State of Iraq and Syria (ISIS).

U.S. Magistrate Judge S. Allan Alexander ordered that the suspects, 19-year-old Jaelyn Delshaun Young and 22-year-old Muhammad "Mo" Dakhlalla, be held without bail, pending federal grand jury action on the charges.

The judge said that she denied the couple bail despite the fact that they have no prior run-ins with the law because she believed their desire to commit terrorism is "probably still there," reports The Associated Press.

The two were arrested over the weekend at the Golden Triangle Regional Airport in Columbus, Mississippi, just before boarding a flight bound for Istanbul. They have been charged with conspiring and attempting to provide material support and resources to ISIS, reports CNN.

According to an FBI affidavit, both confessed their plans after their arrest.

Both Dakhlalla, who is the son of an imam, and Young, the daughter of a 17-year police veteran, are U.S. citizens who attended Mississippi State University.

Columbus lawyer Dennis Harmon, who represents Dakhlalla's family, said Tuesday that the family has been cooperating with the FBI. Harmon added that Dakhlalla graduated in May with a Bachelor's degree in psychology and was preparing to start graduate school at Mississippi State University.

Meanwhile, Young was a recent convert to Islam. Young later told the FBI that she and Dakhlalla got married on June 6.

The government says undercover FBI agents began interacting with Young in May through social media about her desire to travel to Syria and join ISIS.

Among the allegations detailed in court documents is how the couple described the skills and contributions that they could make to the terror group.

"I am good with computers, education and media," Dakhlalla allegedly wrote in one message to an FBI agent. "What could I contribute?"

Young also allegedly talked about how her skills would be useful. "I am skilled in math and chemistry and worked at an analytical lab here on my college campus. My partner is very good with things like computer science/media. We learn very fast and would love to help with giving medical aid," she said.

In addition, the complaint alleges that Young commended the radical who attacked a military center in Chattanooga, Tennessee, back in July, killing four Marines and a sailor.