TY - JOUR
AB - We enumerate all positive definite ternary quadratic forms over number fields with class number at most 2. This is done by constructing all definite quaternion orders of type number at most 2 over number fields. Finally, we list all definite quaternion orders of ideal class number 1 or 2.
AU - Kirschmer, Markus
AU - Lorch, David
ID - 42792
JF - Journal of Number Theory
KW - Algebra and Number Theory
SN - 0022-314X
TI - Ternary quadratic forms over number fields with small class number
VL - 161
ER -