A Diophantine Equation Associated to X0(5)

DOI10.1112/S1461157000000929zbMath1116.14013MaRDI QIDQ5697471

Imin Chen

Publication date: 17 October 2005

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.lms.ac.uk/jcm/8/lms2004-056/

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Higher degree equations; Fermat's equation (11D41)

Cites Work

• Unnamed Item
• On Néron's classification of elliptic curves of residue characteristics 2 and 3
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• The Magma algebra system. I: The user language
• On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• The modular curves X₀(65) and X₀(91) and rational isogeny

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