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 | $x^{2} - x + 4$ | $-\,3\cdot 5$ | $C_2$ (as 2T1) | $[2]$ |
2.0.20.1 | $x^{2} + 5$ | $-\,2^{2}\cdot 5$ | $C_2$ (as 2T1) | $[2]$ |
2.0.24.1 | $x^{2} + 6$ | $-\,2^{3}\cdot 3$ | $C_2$ (as 2T1) | $[2]$ |
2.0.35.1 | $x^{2} - x + 9$ | $-\,5\cdot 7$ | $C_2$ (as 2T1) | $[2]$ |
2.0.40.1 | $x^{2} + 10$ | $-\,2^{3}\cdot 5$ | $C_2$ (as 2T1) | $[2]$ |
2.2.40.1 | $x^{2} - 10$ | $2^{3}\cdot 5$ | $C_2$ (as 2T1) | $[2]$ |
2.0.51.1 | $x^{2} - x + 13$ | $-\,3\cdot 17$ | $C_2$ (as 2T1) | $[2]$ |
2.0.52.1 | $x^{2} + 13$ | $-\,2^{2}\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.60.1 | $x^{2} - 15$ | $2^{2}\cdot 3\cdot 5$ | $C_2$ (as 2T1) | $[2]$ |
2.2.65.1 | $x^{2} - x - 16$ | $5\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.85.1 | $x^{2} - x - 21$ | $5\cdot 17$ | $C_2$ (as 2T1) | $[2]$ |
2.0.88.1 | $x^{2} + 22$ | $-\,2^{3}\cdot 11$ | $C_2$ (as 2T1) | $[2]$ |
2.0.91.1 | $x^{2} - x + 23$ | $-\,7\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.104.1 | $x^{2} - 26$ | $2^{3}\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.105.1 | $x^{2} - x - 26$ | $3\cdot 5\cdot 7$ | $C_2$ (as 2T1) | $[2]$ |
2.0.115.1 | $x^{2} - x + 29$ | $-\,5\cdot 23$ | $C_2$ (as 2T1) | $[2]$ |
2.2.120.1 | $x^{2} - 30$ | $2^{3}\cdot 3\cdot 5$ | $C_2$ (as 2T1) | $[2]$ |
2.0.123.1 | $x^{2} - x + 31$ | $-\,3\cdot 41$ | $C_2$ (as 2T1) | $[2]$ |
2.2.136.1 | $x^{2} - 34$ | $2^{3}\cdot 17$ | $C_2$ (as 2T1) | $[2]$ |
2.2.140.1 | $x^{2} - 35$ | $2^{2}\cdot 5\cdot 7$ | $C_2$ (as 2T1) | $[2]$ |
2.0.148.1 | $x^{2} + 37$ | $-\,2^{2}\cdot 37$ | $C_2$ (as 2T1) | $[2]$ |
2.2.156.1 | $x^{2} - 39$ | $2^{2}\cdot 3\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.165.1 | $x^{2} - x - 41$ | $3\cdot 5\cdot 11$ | $C_2$ (as 2T1) | $[2]$ |
2.2.168.1 | $x^{2} - 42$ | $2^{3}\cdot 3\cdot 7$ | $C_2$ (as 2T1) | $[2]$ |
2.2.185.1 | $x^{2} - x - 46$ | $5\cdot 37$ | $C_2$ (as 2T1) | $[2]$ |
2.0.187.1 | $x^{2} - x + 47$ | $-\,11\cdot 17$ | $C_2$ (as 2T1) | $[2]$ |
2.2.204.1 | $x^{2} - 51$ | $2^{2}\cdot 3\cdot 17$ | $C_2$ (as 2T1) | $[2]$ |
2.2.205.1 | $x^{2} - x - 51$ | $5\cdot 41$ | $C_2$ (as 2T1) | $[2]$ |
2.2.220.1 | $x^{2} - 55$ | $2^{2}\cdot 5\cdot 11$ | $C_2$ (as 2T1) | $[2]$ |
2.2.221.1 | $x^{2} - x - 55$ | $13\cdot 17$ | $C_2$ (as 2T1) | $[2]$ |
2.0.232.1 | $x^{2} + 58$ | $-\,2^{3}\cdot 29$ | $C_2$ (as 2T1) | $[2]$ |
2.2.232.1 | $x^{2} - 58$ | $2^{3}\cdot 29$ | $C_2$ (as 2T1) | $[2]$ |
2.0.235.1 | $x^{2} - x + 59$ | $-\,5\cdot 47$ | $C_2$ (as 2T1) | $[2]$ |
2.2.264.1 | $x^{2} - 66$ | $2^{3}\cdot 3\cdot 11$ | $C_2$ (as 2T1) | $[2]$ |
2.2.265.1 | $x^{2} - x - 66$ | $5\cdot 53$ | $C_2$ (as 2T1) | $[2]$ |
2.0.267.1 | $x^{2} - x + 67$ | $-\,3\cdot 89$ | $C_2$ (as 2T1) | $[2]$ |
2.2.273.1 | $x^{2} - x - 68$ | $3\cdot 7\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.280.1 | $x^{2} - 70$ | $2^{3}\cdot 5\cdot 7$ | $C_2$ (as 2T1) | $[2]$ |
2.2.285.1 | $x^{2} - x - 71$ | $3\cdot 5\cdot 19$ | $C_2$ (as 2T1) | $[2]$ |
2.2.296.1 | $x^{2} - 74$ | $2^{3}\cdot 37$ | $C_2$ (as 2T1) | $[2]$ |
2.2.305.1 | $x^{2} - x - 76$ | $5\cdot 61$ | $C_2$ (as 2T1) | $[2]$ |
2.2.312.1 | $x^{2} - 78$ | $2^{3}\cdot 3\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.345.1 | $x^{2} - x - 86$ | $3\cdot 5\cdot 23$ | $C_2$ (as 2T1) | $[2]$ |
2.2.348.1 | $x^{2} - 87$ | $2^{2}\cdot 3\cdot 29$ | $C_2$ (as 2T1) | $[2]$ |
2.2.357.1 | $x^{2} - x - 89$ | $3\cdot 7\cdot 17$ | $C_2$ (as 2T1) | $[2]$ |
2.2.364.1 | $x^{2} - 91$ | $2^{2}\cdot 7\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.365.1 | $x^{2} - x - 91$ | $5\cdot 73$ | $C_2$ (as 2T1) | $[2]$ |
2.2.377.1 | $x^{2} - x - 94$ | $13\cdot 29$ | $C_2$ (as 2T1) | $[2]$ |
2.2.380.1 | $x^{2} - 95$ | $2^{2}\cdot 5\cdot 19$ | $C_2$ (as 2T1) | $[2]$ |
2.2.385.1 | $x^{2} - x - 96$ | $5\cdot 7\cdot 11$ | $C_2$ (as 2T1) | $[2]$ |