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

• 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: