In the preceding section, Mark speaks of only one synagogue, namely, that of Capernaum (Mark 1:21–29). This does justice to the word again
: Jesus is again back in his own home synagogue. Luke too speaks of the synagogue, and in his case also reference is made here to the earlier-mentioned synagogue of Capernaum (Luke 6:6; cf. Luke 4:31–38). Matthew speaks of their synagogue; this must refer to the Pharisees he mentions in Matthew 12:2.1
1 Again he entered the synagogue, and a man was there with a withered hand.