A database of genus-2 curves over the rational numbers

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

Type: Article

Publication Date: 2016-01-01

Citations: 45

DOI: https://doi.org/10.1112/s146115701600019x

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).

Locations

LMS Journal of Computation and Mathematics - View - PDF
arXiv (Cornell University) - View - PDF
Bristol Research (University of Bristol) - View - PDF
DataCite API - View

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