A Local Version of Szpiro's Conjecture

DOI10.1080/10586458.2012.645780zbMath1294.11086OpenAlexW2020910108WikidataQ122931749 ScholiaQ122931749MaRDI QIDQ2903780

Michael A. Bennett, Soroosh Yazdani

Publication date: 2 August 2012

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1338430824

zbMATH Keywords

elliptic curvesisogenyminimal discriminantSzpiro's conjecture

Mathematics Subject Classification ID

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

Related Items (2)

Lower bounds for the modified Szpiro ratio ⋮ Good elliptic curves with a specified torsion subgroup

Cites Work

• On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• On the Diophantine equation $ax^{2t}+bx^ty+cy^2=d$ and pure powers in recurrence sequences.
• Mod $2$ representations of elliptic curves
• On the Equations z^m = F (x, y ) and Ax^p + By^q = Cz^r

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