Genus 2

 Here is all the documentation of our genus 2 module implemented in Sagemath.
Contents
  • Genus 2 curves of minimal absolute height < 5  or moduli height < 11 including the following for each curve:
    • automorphism group over the complex numbers
    • automorphism group over Q
    • all twists of curves for a fixed minimal absolute height
    • Statistics
  • Genus 3 hyperelliptic curves.  For each curve the following is displayed:
    • absolute invariants t_1, ..., t_6
    • automorphism group over the complex numbers
    • automorphism group over Q
    • all twists of curves for a fixed minimal absolute height
    • Statistics
  • Ternary quartics (TBA)
  • Superelliptic curves of higher genus
    • all superelliptic curves of genus g<11
    • all their automorphism groups over C