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 |
---|---|---|---|---|
2.0.15.1 | x2 - x + 4 | $-\,3\cdot 5$ | $C_2$ (as 2T1) | $[2]$ |
2.0.20.1 | x2 + 5 | $-\,2^{2}\cdot 5$ | $C_2$ (as 2T1) | $[2]$ |
2.0.24.1 | x2 + 6 | $-\,2^{3}\cdot 3$ | $C_2$ (as 2T1) | $[2]$ |
2.0.35.1 | x2 - x + 9 | $-\,5\cdot 7$ | $C_2$ (as 2T1) | $[2]$ |
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) | $[2]$ |
2.0.51.1 | 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) | $[2]$ |
2.2.60.1 | x2 - 15 | $2^{2}\cdot 3\cdot 5$ | $C_2$ (as 2T1) | $[2]$ |
2.2.65.1 | x2 - x - 16 | $5\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.85.1 | x2 - x - 21 | $5\cdot 17$ | $C_2$ (as 2T1) | $[2]$ |
2.0.88.1 | x2 + 22 | $-\,2^{3}\cdot 11$ | $C_2$ (as 2T1) | $[2]$ |
2.0.91.1 | x2 - x + 23 | $-\,7\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.104.1 | x2 - 26 | $2^{3}\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.105.1 | x2 - x - 26 | $3\cdot 5\cdot 7$ | $C_2$ (as 2T1) | $[2]$ |
2.0.115.1 | x2 - x + 29 | $-\,5\cdot 23$ | $C_2$ (as 2T1) | $[2]$ |
2.2.120.1 | x2 - 30 | $2^{3}\cdot 3\cdot 5$ | $C_2$ (as 2T1) | $[2]$ |
2.0.123.1 | x2 - x + 31 | $-\,3\cdot 41$ | $C_2$ (as 2T1) | $[2]$ |
2.2.136.1 | x2 - 34 | $2^{3}\cdot 17$ | $C_2$ (as 2T1) | $[2]$ |
2.2.140.1 | x2 - 35 | $2^{2}\cdot 5\cdot 7$ | $C_2$ (as 2T1) | $[2]$ |
2.0.148.1 | x2 + 37 | $-\,2^{2}\cdot 37$ | $C_2$ (as 2T1) | $[2]$ |
2.2.156.1 | x2 - 39 | $2^{2}\cdot 3\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.165.1 | x2 - x - 41 | $3\cdot 5\cdot 11$ | $C_2$ (as 2T1) | $[2]$ |
2.2.168.1 | x2 - 42 | $2^{3}\cdot 3\cdot 7$ | $C_2$ (as 2T1) | $[2]$ |
2.2.185.1 | x2 - x - 46 | $5\cdot 37$ | $C_2$ (as 2T1) | $[2]$ |
2.0.187.1 | x2 - x + 47 | $-\,11\cdot 17$ | $C_2$ (as 2T1) | $[2]$ |
2.2.204.1 | x2 - 51 | $2^{2}\cdot 3\cdot 17$ | $C_2$ (as 2T1) | $[2]$ |
2.2.205.1 | x2 - x - 51 | $5\cdot 41$ | $C_2$ (as 2T1) | $[2]$ |
2.2.220.1 | x2 - 55 | $2^{2}\cdot 5\cdot 11$ | $C_2$ (as 2T1) | $[2]$ |
2.2.221.1 | x2 - x - 55 | $13\cdot 17$ | $C_2$ (as 2T1) | $[2]$ |
2.0.232.1 | x2 + 58 | $-\,2^{3}\cdot 29$ | $C_2$ (as 2T1) | $[2]$ |
2.2.232.1 | x2 - 58 | $2^{3}\cdot 29$ | $C_2$ (as 2T1) | $[2]$ |
2.0.235.1 | x2 - x + 59 | $-\,5\cdot 47$ | $C_2$ (as 2T1) | $[2]$ |
2.2.264.1 | x2 - 66 | $2^{3}\cdot 3\cdot 11$ | $C_2$ (as 2T1) | $[2]$ |
2.2.265.1 | x2 - x - 66 | $5\cdot 53$ | $C_2$ (as 2T1) | $[2]$ |
2.0.267.1 | x2 - x + 67 | $-\,3\cdot 89$ | $C_2$ (as 2T1) | $[2]$ |
2.2.273.1 | x2 - x - 68 | $3\cdot 7\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.280.1 | x2 - 70 | $2^{3}\cdot 5\cdot 7$ | $C_2$ (as 2T1) | $[2]$ |
2.2.285.1 | x2 - x - 71 | $3\cdot 5\cdot 19$ | $C_2$ (as 2T1) | $[2]$ |
2.2.296.1 | x2 - 74 | $2^{3}\cdot 37$ | $C_2$ (as 2T1) | $[2]$ |
2.2.305.1 | x2 - x - 76 | $5\cdot 61$ | $C_2$ (as 2T1) | $[2]$ |
2.2.312.1 | x2 - 78 | $2^{3}\cdot 3\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.345.1 | x2 - x - 86 | $3\cdot 5\cdot 23$ | $C_2$ (as 2T1) | $[2]$ |
2.2.348.1 | x2 - 87 | $2^{2}\cdot 3\cdot 29$ | $C_2$ (as 2T1) | $[2]$ |
2.2.357.1 | x2 - x - 89 | $3\cdot 7\cdot 17$ | $C_2$ (as 2T1) | $[2]$ |
2.2.364.1 | x2 - 91 | $2^{2}\cdot 7\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.365.1 | x2 - x - 91 | $5\cdot 73$ | $C_2$ (as 2T1) | $[2]$ |
2.2.377.1 | x2 - x - 94 | $13\cdot 29$ | $C_2$ (as 2T1) | $[2]$ |
2.2.380.1 | x2 - 95 | $2^{2}\cdot 5\cdot 19$ | $C_2$ (as 2T1) | $[2]$ |
2.2.385.1 | x2 - x - 96 | $5\cdot 7\cdot 11$ | $C_2$ (as 2T1) | $[2]$ |