As a possibly-incorrect point of pedantry, I don't think New Line holds the "rights", though they distributed the film. Doesn't United Artists hold the rights?

As a possibly-incorrect point of pedantry, I don't think New Line holds the "rights", though they distributed the film. Doesn't United Artists hold the rights? To be frank, I skimmed Wikipedia before leaving this comment, and I remain unsure. EDIT: Ah, Saul Zaentz's company, Middle-earth Enterprises, licensed the film rights to New Line. TIL. What a complicated situation.