Low Degree Fields Ramifying Above {71, 73}

Discriminant class: −5183

∞ 71 73 a_{1} a_{2} a_{3}  Over p = 71  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 47 53
1. 1_{k} 1_{i} 1_{+} 0 5183  1^{2} 1_{i} 71∗ 71∗ 1^{2} 1_{+} 73 73  2
C_{2} 80  2 2  2 2

Discriminant class: −71

∞ 71 73 a_{1} a_{2} a_{3}  Over p = 71  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 47 53
2. 1_{k} 1_{i} 2_{+} -1 -24 -119 1^{2} 1_{i} 71∗ 71∗ 1^{3} 2_{+} 1  3 3 3 2 2 2 2 3
S_{3} 3  2 3 2 3 2 3 2 2