A note on the growth of Mordell-Weil ranks of elliptic curves in cyclotomic \(\mathbb Z_p\)-extensions

DOI10.3792/pjaa.79.101zbMath1186.11031OpenAlexW2014124159MaRDI QIDQ1424024

Kazuo Matsuno

Publication date: 8 March 2004

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1116443678

Mathematics Subject Classification ID

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

Related Items (max. 100)

Mordell–Weil ranks of elliptic curves in the cyclotomic ℤ2-extension of the rationals ⋮ New points on curves

Cites Work

• Unnamed Item
• An infinite family of elliptic curves over \(\mathbb{Q}\) with large rank via Néron's method
• Realization of some Galois representations of low degree in Mordell-Weil groups
• Elliptic curves with large rank over function fields
• Analytic ranks of elliptic curves over cyclotomic fields
• Heights and the specialization map for families of abelian varieties.

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