Pregled bibliografske jedinice broj: 784547
Elliptic curves with torsion group Z/6Z
Elliptic curves with torsion group Z/6Z // Glasnik matematički, 51 (2016), 2; 321-333 doi:10.3336/gm.51.2.03 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 784547 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Elliptic curves with torsion group Z/6Z
Autori
Dujella, Andrej ; Peral, Juan Carlos ; Tadić, Petra
Izvornik
Glasnik matematički (0017-095X) 51
(2016), 2;
321-333
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
elliptic curves ; torsion group ; rank
Sažetak
We exhibit several families of elliptic curves with torsion group isomorphic to Z/6Z and generic rank at least 3. Families of this kind have been constructed previously by several authors: Lecacheux, Kihara, Eroshkin and Woo. We mention the details of some of them and we add other examples developed more recently by Dujella and Peral, and MacLeod. Then we apply an algorithm of Gusić and Tadić and we fi nd the exact rank over Q(t) to be 3 and we also determine free generators of the Mordell-Weil group for each family. By suitable specializations, we obtain the known and new examples of curves over Q with torsion Z/6Z and rank 8, which is the current record.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-6422 - Diofantove m-torke, eliptičke krivulje, Thueove i indeksne jednadžbe (DIOPHANTINE) (Dujella, Andrej, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Sveučilište Jurja Dobrile u Puli
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
