Genus 2 Curves Database | Igusa CM Invariants Database | Quartic CM Fields Database |
An Igusa CM invariant is specified by a sequence of three polynomials [ H_{1}(x), G_{2}(x)/N_{2}, G_{3}(x)/N_{3}], such that H_{1}(x), G_{2}(x), and G_{3}(x) are in Z[x],
H_{1}(i_{1}) = 0, | i_{2} = G_{2}(i_{1})/N_{1}N_{2}, | i_{3} = G_{3}(i_{1})/N_{1}N_{3}, |
i_{1} = I_{4}I_{6}/I_{10}, | i_{2} = I_{2}^{3}I_{4}/I_{10}, | i_{3} = I_{2}^{2}I_{6}/I_{10}, |
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