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Pregled bibliografske jedinice broj: 856606

Torsion of rational elliptic curves over cubic fields and sporadic points on X_1(n)


Najman, Filip
Torsion of rational elliptic curves over cubic fields and sporadic points on X_1(n) // Mathematical research letters, 23 (2016), 1; 245-272 doi:10.4310/MRL.2016.v23.n1.a12 (međunarodna recenzija, članak, znanstveni)


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Naslov
Torsion of rational elliptic curves over cubic fields and sporadic points on X_1(n)

Autori
Najman, Filip

Izvornik
Mathematical research letters (1073-2780) 23 (2016), 1; 245-272

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Elliptic curves ; Cubic fields ; Torsion

Sažetak
We classify the possible torsion structures of rational elliptic curves over cubic fields. Along the way we find a previously unknown torsion structure over a cubic field, Z/21Z, which corresponds to a sporadic point on X1(21) of degree 3, which is the lowest possible degree of a sporadic point on a modular curve X1(n).

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Filip Najman (autor)

Poveznice na cjeloviti tekst rada:

doi www.intlpress.com dx.doi.org

Citiraj ovu publikaciju:

Najman, Filip
Torsion of rational elliptic curves over cubic fields and sporadic points on X_1(n) // Mathematical research letters, 23 (2016), 1; 245-272 doi:10.4310/MRL.2016.v23.n1.a12 (međunarodna recenzija, članak, znanstveni)
Najman, F. (2016) Torsion of rational elliptic curves over cubic fields and sporadic points on X_1(n). Mathematical research letters, 23 (1), 245-272 doi:10.4310/MRL.2016.v23.n1.a12.
@article{article, author = {Najman, Filip}, year = {2016}, pages = {245-272}, DOI = {10.4310/MRL.2016.v23.n1.a12}, keywords = {Elliptic curves, Cubic fields, Torsion}, journal = {Mathematical research letters}, doi = {10.4310/MRL.2016.v23.n1.a12}, volume = {23}, number = {1}, issn = {1073-2780}, title = {Torsion of rational elliptic curves over cubic fields and sporadic points on X\_1(n)}, keyword = {Elliptic curves, Cubic fields, Torsion} }
@article{article, author = {Najman, Filip}, year = {2016}, pages = {245-272}, DOI = {10.4310/MRL.2016.v23.n1.a12}, keywords = {Elliptic curves, Cubic fields, Torsion}, journal = {Mathematical research letters}, doi = {10.4310/MRL.2016.v23.n1.a12}, volume = {23}, number = {1}, issn = {1073-2780}, title = {Torsion of rational elliptic curves over cubic fields and sporadic points on X\_1(n)}, keyword = {Elliptic curves, Cubic fields, Torsion} }

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


Citati:





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