There is no official ranking of translators, so the best way to choose is by criteria rather than by a name. The safest criterion is a translation made directly from the Russian, by someone who handles the novel's key words with care.
Why exact words matter: in Crime and Punishment this weighs more than in other books, because Raskolnikov's theory depends on exact words: louse, overstep, ordinary and extraordinary, trembling creature. The title itself turns on this. The Russian word for crime, prestuplenie, comes from a verb meaning to step beyond, and it is the verb the book repeats when Raskolnikov asks: "Will I be able to overstep or won't I!" A translation that does not keep this verb recognizable tends to lose the thread, and the reader does not notice.
A good edition also carries explanatory notes on the history of the text, such as the suspension of the serial after Karakozov's attempt on the life of Tsar Alexander II, in 1866, and the writing of the final part under the impact of the trial.
A caveat: even among translations made from the Russian, the same term takes different words, and each translator's choice is a reading. "Best" also depends on taste in prose. To check an edition, look at the title page for the translator's name and the indication that the text was translated from the Russian.