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The database contains all genus 2 curves over $\Q$ that can defined by an integral equation of the form \[ y^2+(h_3x^3+h_2x^2+h_1x+h_0)y=f_6x^6+f_5x^5+f_4x^4+f_3x^3+f_2x^2+f_1x+f_0, \] with $h_i\in\{0,1\}$ and $|f_i|\le 90$ and absolute discriminant $|\Delta|\le 10^6$. As explained in [MR:3540958, arXiv:1602.03715], it also includes all genus 2 curves of absolute discriminant $|\Delta|\le 10^6$ defined by an integral equation as above such that at least one of the following holds:

To date all known genus 2 curves of absolute discriminant $|\Delta|\le 10^6$ have an integral model that satisfies these constraints, but it is heuristically likely that there exist curves that do not.