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 |
---|---|---|---|---|
2.0.71.1 | $x^{2} - x + 18$ | $-\,71$ | $C_2$ (as 2T1) | $[7]$ |
2.0.87.1 | $x^{2} - x + 22$ | $-\,3\cdot 29$ | $C_2$ (as 2T1) | $[6]$ |
2.0.95.1 | $x^{2} - x + 24$ | $-\,5\cdot 19$ | $C_2$ (as 2T1) | $[8]$ |
2.0.104.1 | $x^{2} + 26$ | $-\,2^{3}\cdot 13$ | $C_2$ (as 2T1) | $[6]$ |
2.0.111.1 | $x^{2} - x + 28$ | $-\,3\cdot 37$ | $C_2$ (as 2T1) | $[8]$ |
2.0.116.1 | $x^{2} + 29$ | $-\,2^{2}\cdot 29$ | $C_2$ (as 2T1) | $[6]$ |
2.0.119.1 | $x^{2} - x + 30$ | $-\,7\cdot 17$ | $C_2$ (as 2T1) | $[10]$ |
2.0.143.1 | $x^{2} - x + 36$ | $-\,11\cdot 13$ | $C_2$ (as 2T1) | $[10]$ |
2.0.151.1 | $x^{2} - x + 38$ | $-\,151$ | $C_2$ (as 2T1) | $[7]$ |
2.0.152.1 | $x^{2} + 38$ | $-\,2^{3}\cdot 19$ | $C_2$ (as 2T1) | $[6]$ |
2.0.159.1 | $x^{2} - x + 40$ | $-\,3\cdot 53$ | $C_2$ (as 2T1) | $[10]$ |
2.0.164.1 | $x^{2} + 41$ | $-\,2^{2}\cdot 41$ | $C_2$ (as 2T1) | $[8]$ |
2.0.183.1 | $x^{2} - x + 46$ | $-\,3\cdot 61$ | $C_2$ (as 2T1) | $[8]$ |
2.0.199.1 | $x^{2} - x + 50$ | $-\,199$ | $C_2$ (as 2T1) | $[9]$ |
2.0.212.1 | $x^{2} + 53$ | $-\,2^{2}\cdot 53$ | $C_2$ (as 2T1) | $[6]$ |
2.0.223.1 | $x^{2} - x + 56$ | $-\,223$ | $C_2$ (as 2T1) | $[7]$ |
2.0.244.1 | $x^{2} + 61$ | $-\,2^{2}\cdot 61$ | $C_2$ (as 2T1) | $[6]$ |
2.0.247.1 | $x^{2} - x + 62$ | $-\,13\cdot 19$ | $C_2$ (as 2T1) | $[6]$ |
2.0.248.1 | $x^{2} + 62$ | $-\,2^{3}\cdot 31$ | $C_2$ (as 2T1) | $[8]$ |
2.0.251.1 | $x^{2} - x + 63$ | $-\,251$ | $C_2$ (as 2T1) | $[7]$ |
2.0.260.1 | $x^{2} + 65$ | $-\,2^{2}\cdot 5\cdot 13$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.264.1 | $x^{2} + 66$ | $-\,2^{3}\cdot 3\cdot 11$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.276.1 | $x^{2} + 69$ | $-\,2^{2}\cdot 3\cdot 23$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.295.1 | $x^{2} - x + 74$ | $-\,5\cdot 59$ | $C_2$ (as 2T1) | $[8]$ |
2.0.296.1 | $x^{2} + 74$ | $-\,2^{3}\cdot 37$ | $C_2$ (as 2T1) | $[10]$ |
2.0.299.1 | $x^{2} - x + 75$ | $-\,13\cdot 23$ | $C_2$ (as 2T1) | $[8]$ |
2.0.303.1 | $x^{2} - x + 76$ | $-\,3\cdot 101$ | $C_2$ (as 2T1) | $[10]$ |
2.0.308.1 | $x^{2} + 77$ | $-\,2^{2}\cdot 7\cdot 11$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.319.1 | $x^{2} - x + 80$ | $-\,11\cdot 29$ | $C_2$ (as 2T1) | $[10]$ |
2.0.339.1 | $x^{2} - x + 85$ | $-\,3\cdot 113$ | $C_2$ (as 2T1) | $[6]$ |
2.0.344.1 | $x^{2} + 86$ | $-\,2^{3}\cdot 43$ | $C_2$ (as 2T1) | $[10]$ |
2.0.367.1 | $x^{2} - x + 92$ | $-\,367$ | $C_2$ (as 2T1) | $[9]$ |
2.0.371.1 | $x^{2} - x + 93$ | $-\,7\cdot 53$ | $C_2$ (as 2T1) | $[8]$ |
2.0.376.1 | $x^{2} + 94$ | $-\,2^{3}\cdot 47$ | $C_2$ (as 2T1) | $[8]$ |
2.0.395.1 | $x^{2} - x + 99$ | $-\,5\cdot 79$ | $C_2$ (as 2T1) | $[8]$ |
2.0.411.1 | $x^{2} - x + 103$ | $-\,3\cdot 137$ | $C_2$ (as 2T1) | $[6]$ |
2.0.415.1 | $x^{2} - x + 104$ | $-\,5\cdot 83$ | $C_2$ (as 2T1) | $[10]$ |
2.0.419.1 | $x^{2} - x + 105$ | $-\,419$ | $C_2$ (as 2T1) | $[9]$ |
2.0.420.1 | $x^{2} + 105$ | $-\,2^{2}\cdot 3\cdot 5\cdot 7$ | $C_2$ (as 2T1) | $[2, 2, 2]$ |
2.0.424.1 | $x^{2} + 106$ | $-\,2^{3}\cdot 53$ | $C_2$ (as 2T1) | $[6]$ |
2.0.436.1 | $x^{2} + 109$ | $-\,2^{2}\cdot 109$ | $C_2$ (as 2T1) | $[6]$ |
2.0.451.1 | $x^{2} - x + 113$ | $-\,11\cdot 41$ | $C_2$ (as 2T1) | $[6]$ |
2.0.452.1 | $x^{2} + 113$ | $-\,2^{2}\cdot 113$ | $C_2$ (as 2T1) | $[8]$ |
2.0.456.1 | $x^{2} + 114$ | $-\,2^{3}\cdot 3\cdot 19$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.463.1 | $x^{2} - x + 116$ | $-\,463$ | $C_2$ (as 2T1) | $[7]$ |
2.0.467.1 | $x^{2} - x + 117$ | $-\,467$ | $C_2$ (as 2T1) | $[7]$ |
2.0.472.1 | $x^{2} + 118$ | $-\,2^{3}\cdot 59$ | $C_2$ (as 2T1) | $[6]$ |
2.0.487.1 | $x^{2} - x + 122$ | $-\,487$ | $C_2$ (as 2T1) | $[7]$ |
2.0.488.1 | $x^{2} + 122$ | $-\,2^{3}\cdot 61$ | $C_2$ (as 2T1) | $[10]$ |
2.0.491.1 | $x^{2} - x + 123$ | $-\,491$ | $C_2$ (as 2T1) | $[9]$ |