Torsion subgroups of rational Mordell curves over some families of number fields

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}....

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Bibliographic Details
Main Authors: Gužvić Tomislav, Roy Bidisha
Format: Article
Language:English
Published: Sciendo 2022-05-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.2478/auom-2022-0022