The film, scheduled for release on July 28, has evoked strong criticism and protest from the Congress.
Priya Singh Paul alleged that the movie, directed by Madhur Bhandarkar, is "full of concocted facts and is totally derogatory" and it maligns the images of former prime minister Indira Gandhi and her son Sanjay.
The matter was mentioned before a three-judge bench headed by Justice Dipak Misra which refused to give a date for hearing the plea.
"You give your memo. We will see to it. We are not giving any date," the bench said.
Paul's counsel claimed in the court that in an interview, Bhandarkar had said that the movie is 30 per cent fact and 70 per cent "fiction".
"My biological grand mother was the prime minister. The movie contains totally derogatory facts and it is horrendous for a movie to malign the images of these persons," the petitioner claimed.
The plea challenged the July 24 order of the Bombay High Court which had dismissed her plea to stay the release of the movie.
The high court had said that the woman had not made out any case for the court to interfere and stay release of the movie after the Central Board of Film Certification (CBFC) has already granted certificate to the movie.
The high court had also noted that no acknowledged descendant of Sanjay Gandhi has raised objection to the film.
The Congress party's apprehensions are over the portrayal of its veterans like Indira Gandhi, Sanjay Gandhi and other senior leaders of the party in the film.
Bhandarkar, however, had said he would include a disclaimer in 'Indu Sarkar', stating that the film is mostly fictional.
The censor board has granted a U/A certificate to the film after ordering 12 cuts, which has been complied with.
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