A construction of everywhere good \(\mathbb{Q}\)-curves with \(p\)-isogeny

DOI10.3836/tjm/1270041995zbMath0922.14021OpenAlexW2040396278MaRDI QIDQ1267142

Atsuki Umegaki

Publication date: 24 January 1999

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270041995

zbMATH Keywords

isogenygood reductionelliptic curve\({\mathbb Q}\)-curvesjacobian of the modular curvemodularity of \({\mathbb Q}\)-curves

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Elliptic curves (14H52) Arithmetic aspects of modular and Shimura varieties (11G18) Isogeny (14K02)

Related Items (4)

Constructing ray class fields of a real quadratic field using elliptic curves ⋮ Elliptic curves over real quadratic fields with everywhere good reduction and a non-trivial 3-division point ⋮ Elliptic curves with good reduction everywhere over cubic fields ⋮ Potential good reduction of elliptic curves.

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