ON THE 2-ADIC IWASAWA INVARIANTS OF ORDINARY ELLIPTIC CURVES

DOI10.1142/S1793042108001468zbMath1190.11058OpenAlexW2136249051MaRDI QIDQ3602985

Kazuo Matsuno

Publication date: 12 February 2009

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

Full work available at URL: https://doi.org/10.1142/s1793042108001468

zbMATH Keywords

elliptic curvesIwasawa invariantsquadratic twists

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Iwasawa theory (11R23)

Related Items (1)

Construction of elliptic curves with large Iwasawa \(\lambda\)-invariants and large Tate-Shafarevich groups

Uses Software

• ecdata

Cites Work

• Unnamed Item
• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• Construction of elliptic curves with large Iwasawa \(\lambda\)-invariants and large Tate-Shafarevich groups
• \(p\)-ranks of class groups in \(Z^n_p\)-extensions
• Twists and reduction of an elliptic curve
• On the Iwasawa invariants of elliptic curves
• An analogue of Kida's formula for the \(p\)-adic \(L\)-functions of modular elliptic curves
• Finite \(\Lambda\)-submodules of Selmer groups of Abelian varieties over cyclotomic \(\mathbb Z_p\)-extensions.
• Kummer theory for abelian varieties over local fields

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