We show that a hyperbolic 2–bridge knot complement is the unique knot complement in its commensurability class. We also discuss constructions of commensurable hyperbolic knot complements and put forth a conjecture on the number of hyperbolic knot complements in a commensurability class.
"Commensurability classes of $2$–bridge knot complements." Algebr. Geom. Topol. 8 (2) 1031 - 1057, 2008. https://doi.org/10.2140/agt.2008.8.1031