Igusa CM Invariants Database

An Igusa CM invariant is specified by a sequence of three polynomials [ H₁(x), G₂(x)/N₂, G₃(x)/N₃], such that H₁(x), G₂(x), and G₃(x) are in Z[x],

H₁(i₁) = 0,

i₂ = G₂(i₁)/N₁N₂,

i₃ = G₃(i₁)/N₁N₃,

where N₁ = H₁'(i₁), and N₂ and N₃ are integers, and

i₁ = I₄I₆/I₁₀,

i₂ = I₂³I₄/I₁₀,

i₃ = I₂²I₆/I₁₀,

in terms of the Igusa-Clebsch invariants [ I₂, I₄, I₆, I₁₀ ].

Degree: [Non-normal] [Cyclic]

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Degree: [Non-normal] [Cyclic]

Degree 544 Igusa CM invariants of cyclic (C4) fields: 0