$ curl -I https://9.185.173.135
curl: (35) Unknown SSL protocol error in connection to 9.185.173.135:443
This is an secured page that I need to access.
To Rudi : Thanks for the hint, that tells me a hell lot of info.
Somehow the admin of the secured page "refreshes" the state of certifications every day. So although I got blocked from accessing it yesterday, it generously lets me to grab another certificate and add it to the exception list of Firefox.
So everything is working, and I really learn something from yesterday's experience.