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  • Search for curve of minimal height given invariants $(j1,j2,j3)$

    Search for curve of minimal height in $y^2 = \sum_{i=0}^{6} a_i x^i$.

    Genus 2 curves encyclopedia

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    • Genus 2 curves of minimal absolute height less than 5 or moduli height less than 11 including the following for each curve:
      • automorphism group over ${\mathbb C}$
      • automorphism group over ${\mathbb Q}$
      • all twists of curves for a fixed minimal absolute height
      • summary statistics

    Minimal height:
    Moduli height:
    Discriminant:
    Aut Group:
    Conductor:
    Field:
    Twists: