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arXiv · 1602.03715

A database of genus 2 curves over the rational numbers

Andrew R. Booker·Jeroen Sijsling·Andrew V. Sutherland·John Voight·Dan Yasaki
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Abstract

We describe the construction of a database of genus 2 curves of small discriminant that includes geometric and arithmetic invariants of each curve, its Jacobian, and the associated L-function. This data has been incorporated into the L-Functions and Modular Forms Database (LMFDB).

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Andrew R. Booker, Jeroen Sijsling, Andrew V. Sutherland, John Voight, Dan Yasaki. 2016-02-11. A database of genus 2 curves over the rational numbers. https://doi.org/10.1112/s146115701600019x

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