They did everything they could to keep her quiet.

The disgraced NYPD officers charged with raping an intoxicated Manhattan woman in her apartment in December stole her cellphone and contacted her mother and brother in an attempt to frighten her into silence, newly disclosed legal papers allege.

The bombshell details are in a notice of claim filed by the woman against the city and the two cops. The woman, named as Jane Doe in the filing, is seeking $5 million in damages.

The alleged betrayal of the badge occurred in the early hours of Dec. 7, when Officers Kenneth Moreno and Franklin Mata of the Ninth Precinct responded to a 911 call from a cabby requesting help getting a drunken passenger into her East Village apartment.

The officers escorted the 27-year-old woman into her home and returned two more times by lying to a resident to gain entry, investigators say.

Moreno then allegedly raped the woman in her bed as she drifted in and out of consciousness while Mata acted as a lookout.

Before leaving the apartment for the last time, the officers began a twisted scheme to silence her, the documents say.

They stole her BlackBerry, and in the days after the crime, the cops contacted the woman’s mother and brother, the document says.

The notice of claim doesn’t say what they told her family, but it does state the officers “were trying to intimidate” the woman.

Daniel E. Katz, the woman’s attorney, declined to elaborate.

“The notice of claim speaks for itself,” he said. “We are continuing to cooperate with the ongoing criminal investigation.”

In the claim, the woman asks for $3 million for personal injuries and $2 million in punitive damages.

The claim also states that “other specific facts” about the incident would come to light if the city does not compensate her and she proceeds with a lawsuit.

Moreno, 41, and Mata, 27, were charged in April with rape, burglary and official misconduct by the Manhattan District Attorney’s Office. They are both free on $175,000 bail and have been placed on administrative duty in the NYPD.

Both officers have pleaded not guilty. Their next court appearance is scheduled for Sept. 16.

The woman, a high-level executive at a well-known company, had gone out for drinks with friends at a Brooklyn club, Southpaw, between 10 and 10:30 p.m. on Dec. 6.

When she left the popular Park Slope nightspot at 12:30 a.m., her blood-alcohol level was twice the legal limit to drive, according to investigators. Her friends put her in a yellow taxi and instructed the driver, Kofi Owusu, to take her home.

Owusu arrived at her place at 1 a.m., but the victim was too tipsy to get out of the car, so he called police. Moreno, a 17-year NYPD veteran, and Mata, who has two years on the force, responded and helped her into her apartment at 1:10 a.m.

The officers left seven minutes later but returned to the building at 1:56 a.m. and were let in by a resident. The notice of claim states that the pair told the resident they were investigating a noise disturbance behind the apartment complex.

The men then entered her apartment with a key they had taken from the woman. They stayed for 17 minutes before receiving a radio call to respond to a traffic accident at 13th Street and First Avenue.

As The Post first reported, the cops then allegedly made a phony 911 call from the accident scene, saying there was a drunken homeless man at an address two buildings away from the woman’s.

The officers were dispatched to that address but instead returned to the woman’s apartment a second time, at 2:59 a.m. During that visit, Moreno allegedly raped her while she was lying face down in her bed and after she had vomited several times.

The two officers left the building for the last time at 3:33 a.m. Later that morning, the woman told her landlady and friends she had been raped by cops.

She saw Moreno again when she set up a meeting with him and secretly recorded his apology to her.

The wiretap was part of a four-month probe that showed the two cops tried to cover up the crime and tampered with a memo book used to record shift details.

Prosecutors also said during the investigation that Moreno admitted having sex with the woman but claimed it was consensual.

Police Commissioner Ray Kelly was so outraged that he issued a rare rebuke of the officers, calling their conduct “egregious” and a “shocking aberration.”

jfanelli@nypost.com