Torsion subgroups of rational Mordell curves over some families of number fields
| Autor: | Gužvić Tomislav, Roy Bidisha |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 30, Iss 2, Pp 125-132 (2022) |
| Druh dokumentu: | article |
| ISSN: | 1844-0835 2022-0022 |
| DOI: | 10.2478/auom-2022-0022 |
| Popis: | Mordell curves over a number field K are elliptic curves of the form y2 = x3 + c, where c ∈ K \ {0}. Let p ≥ 5 be a prime number, K a number field such that [K : ℚ] ∈ {2p, 3p}. We classify all the possible torsion subgroups E(K)tors for all Mordell curves E defined over ℚ when [K : ℚ] ∈ {2p, 3p}. |
| Databáze: | Directory of Open Access Journals |
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