How do I get a burnt-bottomed saucepan clean?

Well…I really did it. I was boiling water to make some medicinal herbal teas in a large saucepan. I put two tea balls in the almost boiling water and I was just going to wait a minute till it got to a rolling boil and then turn the hob off to steep the tea.

I got called away from the kitchen and then…totally forgot the tea. It boiled down to nothing, leaving a black burnt-on bottom in the saucepan.

Aside from using a Brillo pad…is there anything else that you’ve used that is more effective? I am looking for a “helpful hint from Heloise” even if that’s not your name. :)

Thanks in advance.