A database of genus-2 curves over the rational numbers

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

doi:10.1112/S146115701600019X

A database of genus-2 curves over the rational numbers

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

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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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).

Original language	English
Pages (from-to)	235-254
Number of pages	20
Journal	LMS Journal of Computation and Mathematics
Volume	19
Issue number	A
Early online date	26 Aug 2016
DOIs	https://doi.org/10.1112/S146115701600019X
Publication status	Published - 2016

Bibliographical note

14 pages, 7 tables

Keywords

math.NT

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10.1112/S146115701600019X

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This is the accepted author manuscript (AAM). The final published version (version of record) is available online via London Mathematical Society at http://dx.doi.org/10.1112/S146115701600019X. Please refer to any applicable terms of use of the publisher.
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title = "A database of genus-2 curves over the rational numbers",

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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AU - Sutherland, Andrew V.

AU - Voight, John

AU - Yasaki, Dan

N1 - 14 pages, 7 tables

PY - 2016

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U2 - 10.1112/S146115701600019X

DO - 10.1112/S146115701600019X

M3 - Article (Academic Journal)

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JO - LMS Journal of Computation and Mathematics

JF - LMS Journal of Computation and Mathematics

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A database of genus-2 curves over the rational numbers

Abstract

Bibliographical note

Keywords

Access to Document

Handle.net

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Detecting squarefree numbers

Explicit number theory, automorphic forms and L-functions

Cite this

A database of genus-2 curves over the rational numbers

Abstract

Bibliographical note

Keywords

Access to Document

Handle.net

Other files and links

Fingerprint

Projects

Detecting squarefree numbers

Explicit number theory, automorphic forms and L-functions

Cite this