Let $C$ be a curve and $K(C)$ be it's its function field of genus 2, where $K$ = $\mathbb{C}$.
The number of essential elliptic subfields of $K(C)$ is 0 or 2 or $\infty$.
Edit: I am looking for a proof. Thanks!
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Number of essential elliptic Elliptic subfields of a function field |
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