In the following thread:

https://bitcointalk.org/index.php?topic=289795.0

you will see that we cuss and discuss where the ECC parameters come from, if they were possibly designed to be weak by the NSA, etc.  I even contacted people on the committee that designed the ECC used by Bitcoin and asked them directly where the parameters came from.

I suggest a read of that entire thread.  It is probably the most fascinating thread I have ever participated in.