WASHINGTON — The e-mail, from Steve Jobs of Apple to James Murdoch of News Corporation, reads as if one old sport were trying to cajole another into joining a caper: “Throw in with Apple and see if we can all make a go of this to create a real mainstream e-books market at $12.99 and $14.99.”

According to the Justice Department, that e-mail is part of the evidence that Apple was the “ringmaster” in a price-fixing conspiracy in the market for e-books, a more direct leadership role than originally portrayed in the department’s April 2012 antitrust lawsuit against Apple and five publishing companies.

In its suit, the government said that Apple and the publishers conspired to fix e-book prices as part of a scheme to force Amazon to raise its e-book price from a uniform $9.99 to the higher level noted by Mr. Jobs in the e-mail, which publishers wanted. That, the department said, resulted in higher prices to consumers and ill-gotten profits for Apple and its partners.

The e-mail was released on Tuesday as part of the government’s filing before the trial in the case, set to begin on June 3 in New York.