The serviceName,
cloudsql.
googleapis.com filters logs associated with the
CloudSQL Instance, rather than the CloudSQL admin API. More specifically, the service name for the Cloud SQL Admin API is "
sqladmin.googleapis.com".
If no results are returned from using your Advanced Filter with serviceName= "
sqladmin.googleapis.com", I recommend reporting this issue about the spike on Cloud SQL Admin API's queries by
creating an issue on the
Issue tracker. An engineer should be able to work with you reviewing the details of your Stackdriver logs to understand the Spikes in your usage of the API.