Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
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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 | $ x^{2} - x + 1 $ | $-\,3$ | $C_2$ (as 2T1) | trivial |
| 2.0.4.1 | $ x^{2} + 1 $ | $-\,2^{2}$ | $C_2$ (as 2T1) | trivial |
| 2.2.5.1 | $ x^{2} - x - 1 $ | $5$ | $C_2$ (as 2T1) | trivial |
| 2.0.7.1 | $ x^{2} - x + 2 $ | $-\,7$ | $C_2$ (as 2T1) | trivial |
| 2.0.8.1 | $ x^{2} + 2 $ | $-\,2^{3}$ | $C_2$ (as 2T1) | trivial |
| 2.2.8.1 | $ x^{2} - 2 $ | $2^{3}$ | $C_2$ (as 2T1) | trivial |
| 2.0.11.1 | $ x^{2} - x + 3 $ | $-\,11$ | $C_2$ (as 2T1) | trivial |
| 2.2.12.1 | $ x^{2} - 3 $ | $2^{2}\cdot 3$ | $C_2$ (as 2T1) | trivial |
| 2.2.13.1 | $ x^{2} - x - 3 $ | $13$ | $C_2$ (as 2T1) | trivial |
| 2.2.17.1 | $ x^{2} - x - 4 $ | $17$ | $C_2$ (as 2T1) | trivial |
| 2.0.19.1 | $ x^{2} - x + 5 $ | $-\,19$ | $C_2$ (as 2T1) | trivial |
| 2.2.21.1 | $ x^{2} - x - 5 $ | $3\cdot 7$ | $C_2$ (as 2T1) | trivial |
| 2.2.24.1 | $ x^{2} - 6 $ | $2^{3}\cdot 3$ | $C_2$ (as 2T1) | trivial |
| 2.2.28.1 | $ x^{2} - 7 $ | $2^{2}\cdot 7$ | $C_2$ (as 2T1) | trivial |
| 2.2.29.1 | $ x^{2} - x - 7 $ | $29$ | $C_2$ (as 2T1) | trivial |
| 2.2.33.1 | $ x^{2} - x - 8 $ | $3\cdot 11$ | $C_2$ (as 2T1) | trivial |
| 2.2.37.1 | $ x^{2} - x - 9 $ | $37$ | $C_2$ (as 2T1) | trivial |
| 2.2.41.1 | $ x^{2} - x - 10 $ | $41$ | $C_2$ (as 2T1) | trivial |
| 2.0.43.1 | $ x^{2} - x + 11 $ | $-\,43$ | $C_2$ (as 2T1) | trivial |
| 2.2.44.1 | $ x^{2} - 11 $ | $2^{2}\cdot 11$ | $C_2$ (as 2T1) | trivial |
| 2.2.53.1 | $ x^{2} - x - 13 $ | $53$ | $C_2$ (as 2T1) | trivial |
| 2.2.56.1 | $ x^{2} - 14 $ | $2^{3}\cdot 7$ | $C_2$ (as 2T1) | trivial |
| 2.2.57.1 | $ x^{2} - x - 14 $ | $3\cdot 19$ | $C_2$ (as 2T1) | trivial |
| 2.2.61.1 | $ x^{2} - x - 15 $ | $61$ | $C_2$ (as 2T1) | trivial |
| 2.0.67.1 | $ x^{2} - x + 17 $ | $-\,67$ | $C_2$ (as 2T1) | trivial |
| 2.2.69.1 | $ x^{2} - x - 17 $ | $3\cdot 23$ | $C_2$ (as 2T1) | trivial |
| 2.2.73.1 | $ x^{2} - x - 18 $ | $73$ | $C_2$ (as 2T1) | trivial |
| 2.2.76.1 | $ x^{2} - 19 $ | $2^{2}\cdot 19$ | $C_2$ (as 2T1) | trivial |
| 2.2.77.1 | $ x^{2} - x - 19 $ | $7\cdot 11$ | $C_2$ (as 2T1) | trivial |
| 2.2.88.1 | $ x^{2} - 22 $ | $2^{3}\cdot 11$ | $C_2$ (as 2T1) | trivial |
| 2.2.89.1 | $ x^{2} - x - 22 $ | $89$ | $C_2$ (as 2T1) | trivial |
| 2.2.92.1 | $ x^{2} - 23 $ | $2^{2}\cdot 23$ | $C_2$ (as 2T1) | trivial |
| 2.2.93.1 | $ x^{2} - x - 23 $ | $3\cdot 31$ | $C_2$ (as 2T1) | trivial |
| 2.2.97.1 | $ x^{2} - x - 24 $ | $97$ | $C_2$ (as 2T1) | trivial |
| 2.2.101.1 | $ x^{2} - x - 25 $ | $101$ | $C_2$ (as 2T1) | trivial |
| 2.2.109.1 | $ x^{2} - x - 27 $ | $109$ | $C_2$ (as 2T1) | trivial |
| 2.2.113.1 | $ x^{2} - x - 28 $ | $113$ | $C_2$ (as 2T1) | trivial |
| 2.2.124.1 | $ x^{2} - 31 $ | $2^{2}\cdot 31$ | $C_2$ (as 2T1) | trivial |
| 2.2.129.1 | $ x^{2} - x - 32 $ | $3\cdot 43$ | $C_2$ (as 2T1) | trivial |
| 2.2.133.1 | $ x^{2} - x - 33 $ | $7\cdot 19$ | $C_2$ (as 2T1) | trivial |
| 2.2.137.1 | $ x^{2} - x - 34 $ | $137$ | $C_2$ (as 2T1) | trivial |
| 2.2.141.1 | $ x^{2} - x - 35 $ | $3\cdot 47$ | $C_2$ (as 2T1) | trivial |
| 2.2.149.1 | $ x^{2} - x - 37 $ | $149$ | $C_2$ (as 2T1) | trivial |
| 2.2.152.1 | $ x^{2} - 38 $ | $2^{3}\cdot 19$ | $C_2$ (as 2T1) | trivial |
| 2.2.157.1 | $ x^{2} - x - 39 $ | $157$ | $C_2$ (as 2T1) | trivial |
| 2.2.161.1 | $ x^{2} - x - 40 $ | $7\cdot 23$ | $C_2$ (as 2T1) | trivial |
| 2.0.163.1 | $ x^{2} - x + 41 $ | $-\,163$ | $C_2$ (as 2T1) | trivial |
| 2.2.172.1 | $ x^{2} - 43 $ | $2^{2}\cdot 43$ | $C_2$ (as 2T1) | trivial |
| 2.2.173.1 | $ x^{2} - x - 43 $ | $173$ | $C_2$ (as 2T1) | trivial |