On Siegel's modular curve of level 5 and the class number one problem

DOI10.1006/jnth.1998.2320zbMath0916.11036OpenAlexW2059095021WikidataQ56017689 ScholiaQ56017689MaRDI QIDQ1283816

Imin Chen

Publication date: 20 June 1999

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

Full work available at URL: https://semanticscholar.org/paper/9632efb4aee69f8efdb9a016e5d05914018788d8

zbMATH Keywords

elliptic curvesmodular curvesclass numbers

Mathematics Subject Classification ID

[https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Class numbers, class groups, discriminants (11R29) Modular and Shimura varieties (14G35) Elliptic curves over local fields (11G07)

Related Items (8)

Congruences of elliptic curves arising from nonsurjective mod 𝑁 Galois representations ⋮ Explicit moduli spaces for congruences of elliptic curves ⋮ Fibonacci numbers at most one away from a perfect power ⋮ Elliptic curves over \(\mathbb {Q}\) and 2-adic images of Galois ⋮ Normalizers of non-split Cartan subgroups, modular curves, and the class number one problem ⋮ A spectral proof of class number one ⋮ A modular curve of level 9 and the class number one problem ⋮ CLASS NUMBER ONE FROM ANALYTIC RANK TWO

Cites Work

• On the proof of Stark's theorem
• Galois properties of points of finite order of elliptic curves
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• A note on the integral points of a modular curve of level 7
• Les Schémas de Modules de Courbes Elliptiques
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