Explicit characterization of the torsion growth of rational elliptic curves with complex multiplication over quadratic fields
In a series of papers we classify the possible torsion structures of rational elliptic curves base-extended to number fields of a fixed degree. In this paper we turn our attention to the question of how the torsion of an elliptic curve with complex multiplication defined over the rationals grows ove...
| Permalink: | http://skupnikatalog.nsk.hr/Record/nsk.NSK01001145047/Details |
|---|---|
| Matična publikacija: |
Glasnik matematički (Online) 56 (2021), 1 ; str. 47-61 |
| Glavni autor: | González-Jiménez, Enrique (Author) |
| Vrsta građe: | e-članak |
| Jezik: | eng |
| Predmet: | |
| Online pristup: |
https://doi.org/10.3336/gm.56.1.04 Glasnik matematički (Online) Hrčak |
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| 008 | 220803s2021 ci d |o |0|| ||eng | ||
| 024 | 7 | |2 doi |a 10.3336/gm.56.1.04 | |
| 035 | |a (HR-ZaNSK)001145047 | ||
| 040 | |a HR-ZaNSK |b hrv |c HR-ZaNSK |e ppiak | ||
| 042 | |a croatica | ||
| 044 | |a ci |c hr | ||
| 080 | 1 | |a 51 |2 2011 | |
| 100 | 1 | |a González-Jiménez, Enrique |4 aut |9 HR-ZaNSK | |
| 245 | 1 | 0 | |a Explicit characterization of the torsion growth of rational elliptic curves with complex multiplication over quadratic fields |h [Elektronička građa] / |c Enrique González-Jiménez. |
| 300 | |b Graf. prikazi. | ||
| 504 | |a Bibliografija: 34 jed. | ||
| 504 | |a Abstract. | ||
| 520 | |a In a series of papers we classify the possible torsion structures of rational elliptic curves base-extended to number fields of a fixed degree. In this paper we turn our attention to the question of how the torsion of an elliptic curve with complex multiplication defined over the rationals grows over quadratic fields. We go further and we give an explicit characterization of the quadratic fields where the torsion grows in terms of some invariants attached to the curve. | ||
| 653 | 0 | |a Eliptičke krivulje |a Kvadratna polja |a Torzijska grupa | |
| 773 | 0 | |t Glasnik matematički (Online) |x 1846-7989 |g 56 (2021), 1 ; str. 47-61 |w nsk.(HR-ZaNSK)000659858 | |
| 981 | |b Be2021 |b B03/21 | ||
| 998 | |b tino2210 | ||
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