The drama has scored nods in categories including Best British Independent Film, Best Director and Best Debut Director for Rufus Norris, while Roth will compete for the Best Actor trophy and his two co-stars Cillian Murphy and Rory Kinnear will battle it out for the Best Supporting Actor prize.
Other movies competing for the top honour include ensemble comedy-drama The Best Exotic Marigold Hotel, Berberian Sound Studio, Sightseers, and The Imposter, while British rapper Plan B has earned a nod in the Best Debut Director category for his drama Ill Manors.
The star of Ill Manors, Riz Ahmed, is also nominated in the Best Actor category, along with Roth and Terence Stamp (Song for Marion), Steve Oram (Sightseers), and Toby Jones (Berberian Sound Studio).
Other big names in the running for awards include Downton Abbey star Dame Maggie Smith (The Best Exotic Marigold Hotel), Vanessa Redgrave (Song for Marion), and Billy Connolly (Quartet).
The awards will be handed out at a ceremony in London on 9 December (12).