The central idea of a potential relation between the two cyclists is introduced when they both claim the same name, Edward Cruttenden, hinting at a familial connection.
The detail that introduces the central idea that the two cyclists might be related is found in the exchange where both characters claim the same name, Edward Cruttenden.
This surprising revelation is found in lines 16 and 17, where the first cyclist asserts his identity, and the second cyclist is taken aback to realize he shares both the name and, implicitly, a resemblance with the other.
The moment when they both express their shared name is the pivotal point that suggests a possible family connection.