Exercise 111.59.3. Let $k$ be an algebraically closed field. Let $\ell > 100$ be a prime number different from the characteristic of $k$. Let $X$ be the nonsingular projective model of the affine curve given by the equation

in $\mathbf{A}^2_ k$. Answer the following questions:

What is the genus of $X$?

Give an upper bound for the gonality

^{1}of $X$.

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