Mordell–Weil ranks of elliptic curves in the cyclotomic ℤ2-extension of the rationals

DOI10.1142/S1793042117500257zbMath1368.11054MaRDI QIDQ2965775

Kazuo Matsuno

Publication date: 3 March 2017

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

zbMATH Keywords

elliptic curvesIwasawa theoryMordell-Weil rankcyclotomic \(\mathbb{Z}_2\)-extension

Mathematics Subject Classification ID

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

Related Items

Bounding the Iwasawa invariants of Selmer groups

Uses Software

• Magma
• ecdata

Cites Work

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• On \(L\)-functions of elliptic curves and cyclotomic towers
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Realization of some Galois representations of low degree in Mordell-Weil groups
• The Magma algebra system. I: The user language
• A note on the growth of Mordell-Weil ranks of elliptic curves in cyclotomic \(\mathbb Z_p\)-extensions
• Rational points of Abelian varieties with values in towers of number fields
• The Arithmetic of Elliptic Curves