Note: Search results may be incomplete due to uncomputed quantities: Class number (199205 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 | 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 |