What is the food web of a saber-toothed tiger?

Judging by the time period and palce that the Saber-Toothed Cat had lived in, it would've been at the top of the food chain. Even though the Mammoth lived in the same time period as the Saber-Toothed Cat, and was bigger and stronger than it, it wouldn't have been on the top of the Food Chain because it isn't a carnivore. A Mammoth would be a primary and/or secondary consumer, and a Saber-Toothed Cat would've been the Tertiary and/or higher Consumer