Simons Collaborationon Arithmetic Geometry, Number Theory, and Computation

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A general solver for S-unit equations over number fields and applications

GitHub repository by Benjamin Matschke, including tabulations of elliptic curves with bounded places of bad reduction.

Decompositions of the Jacobian of Xns+(p) for primes p up to 97

Data set from Eran Assaf.

Fermat/Klein quartic twists

Curve equations and Sato-Tate data. Data set from Andrew Sutherland.

Genus 3 hyperelliptic curves

A list of 67,879 curves over Q with absolute discriminant bounded by 10^7. Data set from Andrew Sutherland.

Genus 3 non-hyperelliptic curves

A list of 82,244 curves over Q with absolute discriminant bounded by 10^7. Data set from Andrew Sutherland.

We are grateful for the support of the Simons Foundation. See the Foundation's, and Brown University's press release.
View the Simons Foundation's Collaboration page for more information about the foundation and its collaborations.