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math.NT2024★ 1 cited
Classification of torsion of elliptic curves over quartic fields
Maarten Derickx, Filip Najman
Let be an elliptic curve over a quartic field . By the Mordell-Weil theorem, is a finitely generated group. We determine all the possibilities for the torsion group $…
math.NT2024★ 1 cited
Large degree primitive points on curves
Maarten Derickx
A number field is called primitive if and are the only subfields of . Let be a nice curve over of genus . A point of degree on …
math.NT2024
Torsion subgroups of elliptic curves over quadratic fields and a conjecture of Granville
Barinder S. Banwait, Maarten Derickx
We study the problem of determining the groups that can arise as the torsion subgroup of an elliptic curve over a fixed quadratic field, building on work of Kamienny-Najman, Krumm,…