Low Degree Fields Ramifying Above {47, 53}

Discriminant class: −2491

∞ 47 53 a_{1} a_{2} a_{3}  Over p = 47  Over p = 53 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 59 61
1. 1_{k} 1_{i} 1_{+} 0 2491  1^{2} 1_{i} 47∗ 47∗ 1^{2} 1_{+} 53 53 2 2  2 2
C_{2} 12  2  2  2
2. 1_{k} 1_{i} 1_{+} -1  -2 20 1^{2} 1_{i} 47∗ 47∗ 1^{2} 1_{+} 53 53 2 2  3 2 2 3 3
S_{3}  3 2 3 3 3 2 3 2