Elliptic curve of rank at least 4 over \(\mathbb{Q}(k)\) with torsion point of order 4

DOI10.1007/S13226-023-00380-8zbMATH Open1545.11054MaRDI QIDQ6572367

Ahmed El Amine Youmbai

Publication date: 15 July 2024

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesranktorsion point

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Cites Work

• The rank and generators of Kihara's elliptic curve with torsion \(\mathbb Z /4\mathbb Z \) over \(\mathbb Q (t)\)
• On the rank of the elliptic curves with a rational point of order 4. II
• On the rank of the elliptic curves with a rational point of order 4
• Construction of high rank elliptic curves
• A heuristic for boundedness of ranks of elliptic curves
• High rank elliptic curves with torsion \(\mathbb Z/4 \mathbb Z\) induced by Kihara's elliptic curves
• The Arithmetic of Elliptic Curves
• Construction of high-rank elliptic curves with a nontrivial torsion point

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