Determination of all imaginary abelian sextic number fields with class number ≤ 11

DOI10.4064/aa-82-1-27-43zbMath0889.11036OpenAlexW11285680MaRDI QIDQ4369679

Soun-Hi Kwon, Young-Ho Park

Publication date: 8 January 1998

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207076

zbMATH Keywords

abelian sextic CM-fields with small class numberimaginary abelian sextic number fieldslower bounds for the relative class numberupper bounds for the conductors

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Software, source code, etc. for problems pertaining to number theory (11-04) Other abelian and metabelian extensions (11R20)

Related Items (9)

Explicit lower bounds on \(|L (1, \chi)|\) ⋮ Class number one problem for normal CM-fields ⋮ Picard-Shimura class fields corresponding to a family of hyperelliptic curves ⋮ Class numbers and Iwasawa invariants of certain totally real number fields ⋮ The class number one problem for some non-abelian normal CM-fields of degree 24 ⋮ Tame Galois module structure revisited ⋮ An inverse Jacobian algorithm for Picard curves ⋮ Class number problem for imaginary cyclic number fields ⋮ Class numbers of imaginary abelian number fields

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