When you click on create database in Aura, the name displayed in the Aura console does not match the name of the database displayed in the Neo4j browser.
Lets assume we've clicked on create database and named ours "ajs_demo1"
However, when you login to the database using any client (in this case Neo4j browser), you don't see “ajs_demo1” and instead see neo4j and system databases.
In essence it would be better to describe what you are doing is actually providing a name for your instance of Aura, rather than a database name.
In the instance 2 databases only will be created, the default system database and another one to house your data, which is named neo4j (also default).
Additionally please note that with Aura it is not possible to create multiple databases to hold your data within a same instance.