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The Humbert Form of Discriminant 36, and What It Says About Splitting Detection

ePrint Report: The Humbert Form of Discriminant 36, and What It Says About Splitting Detection Tony Shaska Explicit equations for the locus $\mathcal{L}_n$ of genus-two curves with a maximal degree-$n$ elliptic subcover have been computed only for $n \le 5$, and by elimination, whose cost is not predictable in advance. The degree formula of [22] changes this. It gives $\deg_w F_n = k(H_{n^2}) - 10

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