Low Degree Fields Ramifying Above {43, 47}

Discriminant class: 2021

∞ 43 47 a_{1}  a_{2} a_{3}  Over p = 43  Over p = 47  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 53 59 61
1. 0_{+} 1_{k} 1_{i} 0 -2021  1^{2} 1_{k} 43 43 1^{2} 1_{i} 47∗ 47∗ 2 2  2 2 2
C_{2} 3  2  2 2 2  2
2. 0_{+} 1_{k} 1_{i} 0  -8 -1 1^{2} 1_{k} 43 43 1^{2} 1_{i} 47∗ 47∗ 2 2 3 2 2 2 3 3
S_{3}  2 3 2 2 2 3 3 2