Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이윤진 | * |
dc.date.accessioned | 2016-08-28T10:08:56Z | - |
dc.date.available | 2016-08-28T10:08:56Z | - |
dc.date.issued | 2013 | * |
dc.identifier.issn | 0022-314X | * |
dc.identifier.other | OAK-9332 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/223111 | - |
dc.description.abstract | We find infinite families of elliptic curves over quartic number fields with torsion group Z/NZ with N = 20, 24. We prove that for each elliptic curve E t in the constructed families, the Galois group Gal(L/Q) is isomorphic to the Dihedral group D 4 of order 8 for the Galois closure L of K over Q, where K is the defining field of (E t, Q t) and Q t is a point of E t of order N. We also notice that the plane model for the modular curve X 1(24) found in Jeon et al. (2011) [1] is in the optimal form, which was the missing case in Sutherland's work (Sutherland, 2012 [12]). © 2012 Elsevier Inc. | * |
dc.language | English | * |
dc.title | Infinite families of elliptic curves over Dihedral quartic number fields | * |
dc.type | Article | * |
dc.relation.issue | 1 | * |
dc.relation.volume | 133 | * |
dc.relation.index | SCI | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 115 | * |
dc.relation.lastpage | 122 | * |
dc.relation.journaltitle | Journal of Number Theory | * |
dc.identifier.doi | 10.1016/j.jnt.2012.06.014 | * |
dc.identifier.wosid | WOS:000310182600011 | * |
dc.identifier.scopusid | 2-s2.0-84867312676 | * |
dc.author.google | Jeon D. | * |
dc.author.google | Kim C.H. | * |
dc.author.google | Lee Y. | * |
dc.contributor.scopusid | 이윤진(23100337700) | * |
dc.date.modifydate | 20240123113558 | * |