Low Degree Fields Ramifying Above {47, 73}

Discriminant class: −3431

∞ 47 73 a_{1} a_{2} a_{3}  Over p = 47  Over p = 73  2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s f^{e} c_{w} d  s 23 29 31 37 41 43 53 59
1. 1_{k} 1_{k} 1_{−} 0 3431  1^{2} 1_{k} 47 47 1^{2} 1_{−} 73∗ 73∗  2  2 2
C_{2} 66  2  2  2 2
2. 1_{k} 1_{k} 1_{−} -1 14 -16 1^{2} 1_{k} 47 47 1^{2} 1_{−} 73∗ 73∗  3 3 2  3 2 2
S_{3} 2  2 3  3 2 3 2 2