{ "id": "1107.4648", "version": "v2", "published": "2011-07-23T01:29:08.000Z", "updated": "2011-08-04T04:03:40.000Z", "title": "Non-existence of elliptic curves with everywhere good reduction over some real quadratic fields", "authors": [ "Shun'ichi Yokoyama", "Yu Shimasaki" ], "comment": "10 pages", "categories": [ "math.NT" ], "abstract": "We prove the non-existence of elliptic curves having good reduction everywhere over some real quadratic fields.", "revisions": [ { "version": "v2", "updated": "2011-08-04T04:03:40.000Z" } ], "analyses": { "subjects": [ "11G05", "14H52" ], "keywords": [ "real quadratic fields", "elliptic curves", "non-existence" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1107.4648Y" } } }