Determination of all imaginary bicyclic biquadratic number fields of class number 3

Seok-Won Jung; Soun-Hi Kwon

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Bull. Korean Math. Soc. 1998; 35(1): 83-89

Printed March 1, 1998

Determination of all imaginary bicyclic biquadratic number fields of class number 3

Seok-Won Jung and Soun-Hi Kwon

Korea University, Korea University

Abstract

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Abstract

Using the list of all imaginary quadratic fields with class number 1, 2, 3 and 6, we determine all imaginary bicyclic biquadratic number fields of class number 3. There are exactly 163 such fields and their conductors are less than or equal to $163 \cdot 883$.

Keywords: class number, bicyclic biquadratic number field

MSC numbers: Primary: 11R29, Secondary: 11R20