**Genus 2 curves over ℚ**

This page provides a download link for the list of 66,158 genus 2 curves over ℚ of discriminant |*D*| ≤ 1,000,000 whose computation is described in the paper *A database of genus 2 curves over the rational numbers*. This dataset is now incorporated as part of the LMFDB.
There is also a download link to a list of 487,493 genus 2 curves over ℚ whose discriminants are 5-smooth that was computed using the same methods. Both download links provide colon-delimited text files with the format

*D*:*N*:[*f*(*x*),*h*(*x*)]

where *f*(*x*) and *h*(*x*) are integer polynomials defining the hyperelliptic curve

*y*^{2} + *h*(*x*)y = *f*(*x*),

which has absolute descriminant *D* and conductor *N* (the conductor of its Jacobian). Each curve is a global minimal model for its isomorphism class.

If you use this data in your research, **please cite** the paper using these bibliographic details, which you can also find on my home page.

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