Continental's requirements are as follows:
1. Currently furloughed by Continental
2. Still have a phone number the company can reach you at.
3. Able to answer phone and accept recall.
Sorry for the sarcastic response, as far as minimums go I have no idea, but it will likely be a while before they are hiring. If I'm not mistaken ExpressJet pilots receive some type of preference when Continental screens applicants, and they are currently hiring.