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| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 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 |
| 2.0.15.1 | x2 - x + 4 | \( -\,3\cdot 5 \) | $C_2$ (as 2T1) | $[2]$ |
| 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 |
| 2.0.20.1 | x2 + 5 | \( -\,2^{2}\cdot 5 \) | $C_2$ (as 2T1) | $[2]$ |
| 2.2.21.1 | x2 - x - 5 | \( 3\cdot 7 \) | $C_2$ (as 2T1) | Trivial |
| 2.0.23.1 | x2 - x + 6 | \( -\,23 \) | $C_2$ (as 2T1) | $[3]$ |
| 2.0.24.1 | x2 + 6 | \( -\,2^{3}\cdot 3 \) | $C_2$ (as 2T1) | $[2]$ |
| 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 |
| 2.0.31.1 | x2 - x + 8 | \( -\,31 \) | $C_2$ (as 2T1) | $[3]$ |
| 2.2.33.1 | x2 - x - 8 | \( 3\cdot 11 \) | $C_2$ (as 2T1) | Trivial |
| 2.0.35.1 | x2 - x + 9 | \( -\,5\cdot 7 \) | $C_2$ (as 2T1) | $[2]$ |
| 2.2.37.1 | x2 - x - 9 | \( 37 \) | $C_2$ (as 2T1) | Trivial |
| 2.0.39.1 | x2 - x + 10 | \( -\,3\cdot 13 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.40.1 | x2 + 10 | \( -\,2^{3}\cdot 5 \) | $C_2$ (as 2T1) | $[2]$ |
| 2.2.40.1 | x2 - 10 | \( 2^{3}\cdot 5 \) | $C_2$ (as 2T1) | $[2]$ |
| 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 |
| 2.0.47.1 | x2 - x + 12 | \( -\,47 \) | $C_2$ (as 2T1) | $[5]$ |
| 2.0.51.1 | x2 - x + 13 | \( -\,3\cdot 17 \) | $C_2$ (as 2T1) | $[2]$ |
| 2.0.52.1 | x2 + 13 | \( -\,2^{2}\cdot 13 \) | $C_2$ (as 2T1) | $[2]$ |
| 2.2.53.1 | x2 - x - 13 | \( 53 \) | $C_2$ (as 2T1) | Trivial |
| 2.0.55.1 | x2 - x + 14 | \( -\,5\cdot 11 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.0.56.1 | x2 + 14 | \( -\,2^{3}\cdot 7 \) | $C_2$ (as 2T1) | $[4]$ |
| 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 |
| 2.0.59.1 | x2 - x + 15 | \( -\,59 \) | $C_2$ (as 2T1) | $[3]$ |
| 2.2.60.1 | x2 - 15 | \( 2^{2}\cdot 3\cdot 5 \) | $C_2$ (as 2T1) | $[2]$ |
| 2.2.61.1 | x2 - x - 15 | \( 61 \) | $C_2$ (as 2T1) | Trivial |
| 2.2.65.1 | x2 - x - 16 | \( 5\cdot 13 \) | $C_2$ (as 2T1) | $[2]$ |
| 2.0.67.1 | x2 - x + 17 | \( -\,67 \) | $C_2$ (as 2T1) | Trivial |
| 2.0.68.1 | x2 + 17 | \( -\,2^{2}\cdot 17 \) | $C_2$ (as 2T1) | $[4]$ |
| 2.2.69.1 | x2 - x - 17 | \( 3\cdot 23 \) | $C_2$ (as 2T1) | Trivial |
| 2.0.71.1 | x2 - x + 18 | \( -\,71 \) | $C_2$ (as 2T1) | $[7]$ |
| 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 |
| 2.0.79.1 | x2 - x + 20 | \( -\,79 \) | $C_2$ (as 2T1) | $[5]$ |
| 2.0.83.1 | x2 - x + 21 | \( -\,83 \) | $C_2$ (as 2T1) | $[3]$ |
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