Low Degree Fields Unramified Outside of {∞, 53, 73}

Discriminant class: 1

∞ 53 73 a_{1} a_{2} a_{3} Over p = 53 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 59
1. 0_{+} 0_{+} 2_{+} -1 -24 27 3 0_{+} 1  1^{3} 2_{+} 1  3  3  3 3  3
C_{3}  3 3 3 3 3  3 3

Discriminant class: 53

∞ 53 73 a_{1} a_{2} a_{3} Over p = 53 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 59
2. 0_{+} 1_{+} 0_{+} 0 -53  1^{2} 1_{+} 53 53 2 0_{+} ∗ ∗ 2 2 2  2
C_{2}  2  2  2

Discriminant class: 73

∞ 53 73 a_{1} a_{2} a_{3} Over p = 53  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 59
3. 0_{+} 0_{+} 1_{+} 0 -73  2 0_{+} ∗ ∗ 1^{2} 1_{+} 73 73  2 2 2 2 2
C_{2}  2 2  2 2 2

Discriminant class: 3869

∞ 53 73 a_{1}  a_{2} a_{3}  Over p = 53  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 59
4. 0_{+} 1_{−} 1_{−} 0 -3869  1^{2} 1_{−} 53∗ 53∗ 1^{2} 1_{−} 73∗ 73∗ 2 2  2 2 2 2 2
C_{2} 2  2 2  2 2 2 2