[Cryptography] Why is ECC secure?

[Phillip Hallam-Baker]

While we are on it. I can understand how DH works in any cyclic group.
Thats obvious.

The part I have difficulty with is why an ECC operation is a group. I can
kinda sorta see that for Edwards curves but the idea that the Wierstrass
operation is a group is distinctly non-intuitive.
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