Determination of all imaginary bicyclic biquadratic number fields of class number 3
Bull. Korean Math. Soc. 1998 Vol. 35, No. 1, 83-89
Seok-Won Jung and Soun-Hi Kwon
Korea University, Korea University
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
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