Pregled bibliografske jedinice broj: 1092615
An Algorithm for Determining Torsion Growth of Elliptic Curves
An Algorithm for Determining Torsion Growth of Elliptic Curves // Experimental mathematics (2020) doi:10.1080/10586458.2020.1771638 (znanstveni, online first)
CROSBI ID: 1092615 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
An Algorithm for Determining Torsion Growth of
Elliptic Curves
Autori
González–Jiménez, Enrique ; Najman, Filip
Vrsta, podvrsta
Radovi u časopisima,
znanstveni
Izvornik
Experimental mathematics (2020)
Status rada
Online first
Ključne riječi
Elliptic curves, torsion over number fields
Sažetak
We present a fast algorithm that takes as input an elliptic curve defined over Q and an integer d and returns all the number fields K of degree d' dividing d such that E(K)tors contains E(F)tors as a proper subgroup, for all F⊈K. We ran this algorithm on all elliptic curves of conductor less than 400.000 (a total of 2.483.649 curves) and all d≤23 and collected various interesting data. In particular, we find a degree 6 sporadic point on X1(4, 12), which is so far the lowest known degree a sporadic point on X1(m, n), for m≥2.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-1313 - Diofantska geometrija i primjene (DIOPHANT) (Kazalicki, Matija, HRZZ - 2018-01) ( CroRIS)
--KK.01.1.1.01.0004 - Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri (QuantiXLie) (Buljan, Hrvoje; Pandžić, Pavle) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Filip Najman
(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
