Let d be a squarefree integer with allowed. If (mod 8) it is shown that there do not exist any cubic fields with index 2 whose splitting field contains . If (mod 8) it is shown that there exist infinitely many cubic fields with index 2 and minimal index 2 whose splitting field contains .

Additional Metadata
Keywords Common index divisor, Cubic fields, Discriminant, Index, Minimal index, Power basis
Persistent URL dx.doi.org/10.1007/s605-002-8266-y
Journal Monatshefte fur Mathematik
Citation
Spearman, B.K. (Blair K.), & Williams, K.S. (2002). Cubic fields with index 2. Monatshefte fur Mathematik, 134(4), 331–336. doi:10.1007/s605-002-8266-y