Ranks of elliptic curves over ℤp2 -extensions

Antonio Lei; Florian Sprung

doi:10.1007/s11856-020-1969-0

Ranks of elliptic curves over ℤp2 -extensions

Antonio Lei, Florian Sprung

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Let E be an elliptic curve with good reduction at a fixed odd prime p and K an imaginary quadratic field where p splits. We give a growth estimate for the Mordell-Weil rank of E over finite extensions inside the ℤp2-extension of K.

Original language	English (US)
Pages (from-to)	183-206
Number of pages	24
Journal	Israel Journal of Mathematics
Volume	236
Issue number	1
DOIs	https://doi.org/10.1007/s11856-020-1969-0
State	Published - Mar 1 2020

ASJC Scopus subject areas

General Mathematics

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title = "Ranks of elliptic curves over ℤp2 -extensions",

abstract = "Let E be an elliptic curve with good reduction at a fixed odd prime p and K an imaginary quadratic field where p splits. We give a growth estimate for the Mordell-Weil rank of E over finite extensions inside the ℤp2-extension of K.",

author = "Antonio Lei and Florian Sprung",

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Ranks of elliptic curves over ℤp2 -extensions

Abstract

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