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A database of genus-2 curves over the rational numbers

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)235-254
Number of pages20
JournalLMS Journal of Computation and Mathematics
Volume19
Issue numberA
Early online date26 Aug 2016
DOIs
DateAccepted/In press - 29 Apr 2016
DateE-pub ahead of print - 26 Aug 2016
DatePublished (current) - 2016

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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14 pages, 7 tables

    Research areas

  • math.NT

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  • Full-text PDF (accepted author manuscript)

    Rights statement: 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.

    Accepted author manuscript, 441 KB, PDF-document

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