Or you can open a support ticket with the details, and our administrators will do it.
Is there a way for me to copy an entire database from another server?
You will need to export the original database, and import to a new database.
How to export?
How can I import a database?
Note: phpMyAdmin will timeout after 30 seconds of attempting to import.
Is there a way to rename a database?
Unfortunately, the only way to rename a database is to copy it to a new, empty database with the desired name.