Low Degree Fields Unramified Outside of {∞, 37}

Discriminant class: 1

∞ 37 a_{1} a_{2} a_{3} Over p = 37 2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s 23 29 31 41 43 47 53 59
1. 0_{+} 2_{+} 1 -12 11 1^{3} 2_{+} 1  3 3 3 3  3 3 3
C_{3}  3  3 3

Discriminant class: 37

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