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Try connecting to a UCI Law VPN (Virtual Private Network) if you're not used to seeing a password for a database. Many databases don't really need a password—they just need to see that you're part of the UCI Law Network. So once you're connected to UCI Law's VPN, other websites see your computer as if it's part of UCI Law's network and let you in.
A few databases do also require passwords, though. See this page's "Password Resources."