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Why the curve $x^2+y^2+y+1=0$ has only one point over $\mathbb{F}_{3^7}$?
According to both sagemath and Magma the curve $x^2+y^2+y+1=0$ has only one point over $\mathbb{F}_{3^7}$.
The projective closure has only one point too.
Q1 What hypothesis are missing to not violate ...
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