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| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 1.1.1.1 | x | \( 1 \) | Trivial (as 1T1) | Trivial |
| 2.0.3.1 | x2 - x + 1 | \( -\,3 \) | $C_2$ (as 2T1) | Trivial |
| 2.0.4.1 | x2 + 1 | \( -\,2^{2} \) | $C_2$ (as 2T1) | Trivial |
| 2.2.5.1 | x2 - x - 1 | \( 5 \) | $C_2$ (as 2T1) | Trivial |
| 2.0.7.1 | x2 - x + 2 | \( -\,7 \) | $C_2$ (as 2T1) | Trivial |
| 2.0.8.1 | x2 + 2 | \( -\,2^{3} \) | $C_2$ (as 2T1) | Trivial |
| 2.2.8.1 | x2 - 2 | \( 2^{3} \) | $C_2$ (as 2T1) | Trivial |
| 2.0.11.1 | x2 - x + 3 | \( -\,11 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.12.1 | x2 - 3 | \( 2^{2}\cdot 3 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.13.1 | x2 - x - 3 | \( 13 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.17.1 | x2 - x - 4 | \( 17 \) | $C_2$ (as 2T1) | Trivial |
| 2.0.19.1 | x2 - x + 5 | \( -\,19 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.21.1 | x2 - x - 5 | \( 3\cdot 7 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.24.1 | x2 - 6 | \( 2^{3}\cdot 3 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.28.1 | x2 - 7 | \( 2^{2}\cdot 7 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.29.1 | x2 - x - 7 | \( 29 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.33.1 | x2 - x - 8 | \( 3\cdot 11 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.37.1 | x2 - x - 9 | \( 37 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.41.1 | x2 - x - 10 | \( 41 \) | $C_2$ (as 2T1) | Trivial |
| 2.0.43.1 | x2 - x + 11 | \( -\,43 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.44.1 | x2 - 11 | \( 2^{2}\cdot 11 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.53.1 | x2 - x - 13 | \( 53 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.56.1 | x2 - 14 | \( 2^{3}\cdot 7 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.57.1 | x2 - x - 14 | \( 3\cdot 19 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.61.1 | x2 - x - 15 | \( 61 \) | $C_2$ (as 2T1) | Trivial |
| 2.0.67.1 | x2 - x + 17 | \( -\,67 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.69.1 | x2 - x - 17 | \( 3\cdot 23 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.73.1 | x2 - x - 18 | \( 73 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.76.1 | x2 - 19 | \( 2^{2}\cdot 19 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.77.1 | x2 - x - 19 | \( 7\cdot 11 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.88.1 | x2 - 22 | \( 2^{3}\cdot 11 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.89.1 | x2 - x - 22 | \( 89 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.92.1 | x2 - 23 | \( 2^{2}\cdot 23 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.93.1 | x2 - x - 23 | \( 3\cdot 31 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.97.1 | x2 - x - 24 | \( 97 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.101.1 | x2 - x - 25 | \( 101 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.109.1 | x2 - x - 27 | \( 109 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.113.1 | x2 - x - 28 | \( 113 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.124.1 | x2 - 31 | \( 2^{2}\cdot 31 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.129.1 | x2 - x - 32 | \( 3\cdot 43 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.133.1 | x2 - x - 33 | \( 7\cdot 19 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.137.1 | x2 - x - 34 | \( 137 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.141.1 | x2 - x - 35 | \( 3\cdot 47 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.149.1 | x2 - x - 37 | \( 149 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.152.1 | x2 - 38 | \( 2^{3}\cdot 19 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.157.1 | x2 - x - 39 | \( 157 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.161.1 | x2 - x - 40 | \( 7\cdot 23 \) | $C_2$ (as 2T1) | Trivial |
| 2.0.163.1 | x2 - x + 41 | \( -\,163 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.172.1 | x2 - 43 | \( 2^{2}\cdot 43 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.173.1 | x2 - x - 43 | \( 173 \) | $C_2$ (as 2T1) | Trivial |
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