A conjecture of Gross and Zagier: Case E(ℚ)tor≅ℤ/3ℤ

DOI10.1142/S1793042119501008OpenAlexW2943888694WikidataQ123113643 ScholiaQ123113643MaRDI QIDQ5236479

Dongho Byeon, Taekyung Kim, Donggeon Yhee

Publication date: 8 October 2019

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042119501008

zbMATH Keywords

elliptic curvesShafarevich-Tate groupTamagawa numberManin constant

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (4)

Torsion and twists of abelian varieties ⋮ Unnamed Item ⋮ A conjecture of Gross and Zagier: Case E(ℚ)tor≅ℤ/2ℤ ⊕ ℤ/2ℤ, ℤ/2ℤ ⊕ ℤ/4ℤ or ℤ/2ℤ ⊕ ℤ/6ℤ ⋮ On a conjecture of Agashe

Cites Work

• Torsion and Tamagawa numbers
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• Stickelberger elements and modular parametrizations of elliptic curves
• Heegner points and derivatives of \(L\)-series
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• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Modular curves and the Eisenstein ideal
• Selmer groups of elliptic curves that can be arbitrarily large.
• MULTIPLICATIVE SUBGROUPS OF J 0(N) AND APPLICATIONS TO ELLIPTIC CURVES
• Arithmetic on Curves of Genus 1. IV. Proof of the Hauptvermutung.
• The Arithmetic of Elliptic Curves
• Universal Bounds on the Torsion of Elliptic Curves
• Elliptic curves with a torsion point
• Optimal curves differing by a 3-isogeny
• Local invariants of isogenous elliptic curves
• Unnamed Item
• Unnamed Item

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