While some in Capernaum believed in Jesus, many remained in unbelief.  Because of this unbelief, Jesus said:

"And thou, Capernaum, which art exalted unto heaven, shalt be brought down to hell: for if the mighty works, which have been done in thee had been done in Sodom, it would have remained until this day.  But I say unto you, That it shall be more tolerable for the land of Sodom in the day of judgment, than for thee."    Matthew 11:23-24