Before asking my short question I had made some research. Unfortunately I did not find a good reference with some examples. My question is the following
What are the consequences of the Birch and Swinnerton-Dyer Conjecture ?
I have read the official statement of the conjecture in Clay Institute website and followed a very nice talk by Manjul Bhargava...
Just to be clear enough, I'm not interested on the explanation of the conjecture, I would like to know what are the consequences.
How can I make this question C.W. ?