And came down to Capernaum, a city of Galilee, and taught them on the sabbath days. Came down to Capernaum - Which it is likely he made his ordinary place of residence from this time. See on Matthew 4:13 (note).
Related Commentaries of Luke 4:31
Luke 4:31
31 And came down to Capernaum, a city of Galilee, and taught them on the sabbath days.