gives the class number for the algebraic number field generated by theta.
NumberFieldClassNumber
gives the class number for the algebraic number field generated by theta.
Examples
open all close allBasic Examples (1)
Find the class number of the algebraic number field :
Scope (2)
Class number of complex and real quadratic fields:
NumberFieldClassNumber automatically threads over lists:
Applications (1)
Value of the Dirichlet L-functions at for the real primitive character modulo :
Properties & Relations (1)
Number of representations of 19 as a sum of 3 squares:
Possible Issues (1)
Class number for some algebraic number fields may not be yet available:
Tech Notes
Related Guides
History
Text
Wolfram Research (2007), NumberFieldClassNumber, Wolfram Language function, https://reference.wolfram.com/language/ref/NumberFieldClassNumber.html.
CMS
Wolfram Language. 2007. "NumberFieldClassNumber." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/NumberFieldClassNumber.html.
APA
Wolfram Language. (2007). NumberFieldClassNumber. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/NumberFieldClassNumber.html
BibTeX
@misc{reference.wolfram_2025_numberfieldclassnumber, author="Wolfram Research", title="{NumberFieldClassNumber}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/NumberFieldClassNumber.html}", note=[Accessed: 11-January-2026]}
BibLaTeX
@online{reference.wolfram_2025_numberfieldclassnumber, organization={Wolfram Research}, title={NumberFieldClassNumber}, year={2007}, url={https://reference.wolfram.com/language/ref/NumberFieldClassNumber.html}, note=[Accessed: 11-January-2026]}