Low Degree Fields Ramifying Above {17, 37}

Discriminant class: 629

∞ 17 37 a_{1} a_{2} a_{3}  Over p = 17  Over p = 37  2 3 5 7 11 13 19 23
G h  f^{e} c_{w} d  s f^{e} c_{w} d  s 29 31 41 43 47 53 59 61
1. 0_{+} 1_{−} 1_{−} 0 -629  1^{2} 1_{−} 17∗ 17∗ 1^{2} 1_{−} 37∗ 37∗ 2 2  2 2 2 2
C_{2} 2  2 2  2