Pregled bibliografske jedinice broj: 1091601
Torsion groups of elliptic curves over quadratic fields Q(√d), 0<d<100
Torsion groups of elliptic curves over quadratic fields Q(√d), 0
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Naslov
Torsion groups of elliptic curves over quadratic
fields Q(√d), 0<d<100
Autori
Trbović, Antonela
Izvornik
Acta Arithmetica (0065-1036) 192
(2020), 2;
141-153
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Torsion subgroups ; Elliptic curves ; Quadratic fields
Sažetak
We prove results towards classifying the possible torsion subgroups of elliptic curves over quadratic fields Q(√d), where 0<d<100 is a squarefree integer, and obtain a complete classification for 49 out of 60 such fields. Over the remaining 11 quadratic fields, we cannot rule out the possibility of the group Z/16Z appearing as a torsion group of an elliptic curve.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Antonela Trbović
(autor)
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
