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Number of points on elliptic curves over finite fields
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2021-01-29, 22:29
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Robert Holmes
Oct 2007
6A
_{16}
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The key term here is supersingular elliptic curves. For p = 2 mod 3, any curve of the form y^2 = x^3 + B is supersingular, p > 3.
Another common case is p = 3 mod 4, in which case y^2 = x^3 + x is also known to be supersingular.
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