As described in [MR:3540958, arXiv:1602.03715] , the database of genus 2 curves over $\Q$ was constructed by searching over integral hyperelliptic models 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 absolute discriminant $|\Delta|\le 10^6$, where $h_i\in \{0,1\}$, and $(f_0,\ldots,f_6)$ lies in a certain union of polytopes in $\Z^7$. It includes, in particular, all curves that have such a model with $|f_i|\le 90$.