Low Degree Fields Ramifying Above {59, 73}

Discriminant class: −4307

∞ 59 73 a_{1} a_{2} a_{3}  Over p = 59  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_{k} 1_{−} 0 4307  1^{2} 1_{k} 59 59 1^{2} 1_{−} 73∗ 73∗ 2  2 2  2
C_{2} 18  2 2  2  2
2. 1_{k} 1_{k} 1_{−} 0  -4 -13 1^{2} 1_{k} 59 59 1^{2} 1_{−} 73∗ 73∗ 2 3 2 2 3  2 3
S_{3}  2 2 3 2  3 3 2