{ "id": "1602.03715", "version": "v1", "published": "2016-02-11T13:04:38.000Z", "updated": "2016-02-11T13:04:38.000Z", "title": "A database of genus 2 curves over the rational numbers", "authors": [ "Andrew R. Booker", "Jeroen Sijsling", "Andrew V. Sutherland", "John Voight", "Dan Yasaki" ], "comment": "14 pages, 7 tables", "categories": [ "math.NT" ], "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).", "revisions": [ { "version": "v1", "updated": "2016-02-11T13:04:38.000Z" } ], "analyses": { "keywords": [ "rational numbers", "modular forms database", "arithmetic invariants", "small discriminant", "associated l-function" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160203715B" } } }