You might be using mysql-connector-java_5.1.45,
and specifying "com.mysql.cj.jdbc.Driver" as the driver class.
You should use either mysql-connector-java_8.0.21, or use the old
driver class "com.mysql.jdbc.Driver"
for logstash 6.2.x and above, prefer adding the drivers under:
/usr/share/logstash/logstash-core/lib/jars/
and rather keep the jdbc_driver_library empty.
This has been quoted in many of the elastic.co forums too.