Bitcoin: Why do we have "circular behavior" when working with EC over finite field and what makes...

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Why do we have "circular behavior" when working with EC over finite field and what makes some point a "turning point"?
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(bitcoin.stackexchange.com/users/145749/leabit)LeaBit
(bitcoin.stackexchange.com/users/208/pieter-wuille)Pieter Wuille
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