I have not clue but did a quick search and this looks like it might answer your question, though not having the specific software, I can not confirm.:
http://linux.co.uk/Pages/howtos/Sybase-ASA-HOWTO.html#AEN576

Scroll down to the ODBC information for setting up dsn's this could be reverse read to see current dsn settings.

Update:
Sybase manual resource 1
Resource 2
Resource 3
Show how to get the database properties from Sybase central and with the above I think you can find the name the server uses to represent the databases.