Some families of Mordell curves associated to cubic fields.

DOI10.1016/S0377-0427(03)00624-1zbMath1080.14520MaRDI QIDQ1414342

Katsuya Miyake

Publication date: 20 November 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic ground fields for curves (14H25) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items

ON THE FIELD INTERSECTION PROBLEM OF SOLVABLE QUINTIC GENERIC POLYNOMIALS ⋮ Twists of Hessian elliptic curves and cubic fields

Cites Work

• Finiteness theorems for abelian varieties over number fields.
• Modular elliptic curves and Fermat's Last Theorem
• The rational solutions of the diophantine equation \(Y^2=X^3-D\)
• The Diophantine equation \(ax^3+by^3+cz^3=0\). Completion of the tables
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• Notes on elliptic curves. II.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item