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 |
---|---|---|---|---|
2.0.695.1 | $x^{2} - x + 174$ | $-\,5\cdot 139$ | $C_2$ (as 2T1) | $[24]$ |
2.0.759.1 | $x^{2} - x + 190$ | $-\,3\cdot 11\cdot 23$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.1191.1 | $x^{2} - x + 298$ | $-\,3\cdot 397$ | $C_2$ (as 2T1) | $[24]$ |
2.0.1316.1 | $x^{2} + 329$ | $-\,2^{2}\cdot 7\cdot 47$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.1351.1 | $x^{2} - x + 338$ | $-\,7\cdot 193$ | $C_2$ (as 2T1) | $[24]$ |
2.0.1407.1 | $x^{2} - x + 352$ | $-\,3\cdot 7\cdot 67$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.1615.1 | $x^{2} - x + 404$ | $-\,5\cdot 17\cdot 19$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.1704.1 | $x^{2} + 426$ | $-\,2^{3}\cdot 3\cdot 71$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.1736.1 | $x^{2} + 434$ | $-\,2^{3}\cdot 7\cdot 31$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.1743.1 | $x^{2} - x + 436$ | $-\,3\cdot 7\cdot 83$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.1988.1 | $x^{2} + 497$ | $-\,2^{2}\cdot 7\cdot 71$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.2168.1 | $x^{2} + 542$ | $-\,2^{3}\cdot 271$ | $C_2$ (as 2T1) | $[24]$ |
2.0.2184.1 | $x^{2} + 546$ | $-\,2^{3}\cdot 3\cdot 7\cdot 13$ | $C_2$ (as 2T1) | $[2, 2, 6]$ |
2.0.2219.1 | $x^{2} - x + 555$ | $-\,7\cdot 317$ | $C_2$ (as 2T1) | $[24]$ |
2.0.2372.1 | $x^{2} + 593$ | $-\,2^{2}\cdot 593$ | $C_2$ (as 2T1) | $[24]$ |
2.0.2408.1 | $x^{2} + 602$ | $-\,2^{3}\cdot 7\cdot 43$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.2479.1 | $x^{2} - x + 620$ | $-\,37\cdot 67$ | $C_2$ (as 2T1) | $[24]$ |
2.0.2660.1 | $x^{2} + 665$ | $-\,2^{2}\cdot 5\cdot 7\cdot 19$ | $C_2$ (as 2T1) | $[2, 2, 6]$ |
2.0.2696.1 | $x^{2} + 674$ | $-\,2^{3}\cdot 337$ | $C_2$ (as 2T1) | $[24]$ |
2.0.2820.1 | $x^{2} + 705$ | $-\,2^{2}\cdot 3\cdot 5\cdot 47$ | $C_2$ (as 2T1) | $[2, 2, 6]$ |
2.0.2824.1 | $x^{2} + 706$ | $-\,2^{3}\cdot 353$ | $C_2$ (as 2T1) | $[24]$ |
2.0.2852.1 | $x^{2} + 713$ | $-\,2^{2}\cdot 23\cdot 31$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.2856.1 | $x^{2} + 714$ | $-\,2^{3}\cdot 3\cdot 7\cdot 17$ | $C_2$ (as 2T1) | $[2, 2, 6]$ |
2.0.2915.1 | $x^{2} - x + 729$ | $-\,5\cdot 11\cdot 53$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.2964.1 | $x^{2} + 741$ | $-\,2^{2}\cdot 3\cdot 13\cdot 19$ | $C_2$ (as 2T1) | $[2, 2, 6]$ |
2.0.3059.1 | $x^{2} - x + 765$ | $-\,7\cdot 19\cdot 23$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.3064.1 | $x^{2} + 766$ | $-\,2^{3}\cdot 383$ | $C_2$ (as 2T1) | $[24]$ |
2.0.3127.1 | $x^{2} - x + 782$ | $-\,53\cdot 59$ | $C_2$ (as 2T1) | $[24]$ |
2.0.3128.1 | $x^{2} + 782$ | $-\,2^{3}\cdot 17\cdot 23$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.3444.1 | $x^{2} + 861$ | $-\,2^{2}\cdot 3\cdot 7\cdot 41$ | $C_2$ (as 2T1) | $[2, 2, 6]$ |
2.0.3540.1 | $x^{2} + 885$ | $-\,2^{2}\cdot 3\cdot 5\cdot 59$ | $C_2$ (as 2T1) | $[2, 2, 6]$ |
2.0.3560.1 | $x^{2} + 890$ | $-\,2^{3}\cdot 5\cdot 89$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.3604.1 | $x^{2} + 901$ | $-\,2^{2}\cdot 17\cdot 53$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.3620.1 | $x^{2} + 905$ | $-\,2^{2}\cdot 5\cdot 181$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.3720.1 | $x^{2} + 930$ | $-\,2^{3}\cdot 3\cdot 5\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 6]$ |
2.0.3864.1 | $x^{2} + 966$ | $-\,2^{3}\cdot 3\cdot 7\cdot 23$ | $C_2$ (as 2T1) | $[2, 2, 6]$ |
2.0.3876.1 | $x^{2} + 969$ | $-\,2^{2}\cdot 3\cdot 17\cdot 19$ | $C_2$ (as 2T1) | $[2, 2, 6]$ |
2.0.3891.1 | $x^{2} - x + 973$ | $-\,3\cdot 1297$ | $C_2$ (as 2T1) | $[24]$ |
2.0.3899.1 | $x^{2} - x + 975$ | $-\,7\cdot 557$ | $C_2$ (as 2T1) | $[24]$ |
2.0.3912.1 | $x^{2} + 978$ | $-\,2^{3}\cdot 3\cdot 163$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.3940.1 | $x^{2} + 985$ | $-\,2^{2}\cdot 5\cdot 197$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.4063.1 | $x^{2} - x + 1016$ | $-\,17\cdot 239$ | $C_2$ (as 2T1) | $[24]$ |
2.0.4292.1 | $x^{2} + 1073$ | $-\,2^{2}\cdot 29\cdot 37$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.4308.1 | $x^{2} + 1077$ | $-\,2^{2}\cdot 3\cdot 359$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.4503.1 | $x^{2} - x + 1126$ | $-\,3\cdot 19\cdot 79$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.4564.1 | $x^{2} + 1141$ | $-\,2^{2}\cdot 7\cdot 163$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.4580.1 | $x^{2} + 1145$ | $-\,2^{2}\cdot 5\cdot 229$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.4595.1 | $x^{2} - x + 1149$ | $-\,5\cdot 919$ | $C_2$ (as 2T1) | $[24]$ |
2.0.4632.1 | $x^{2} + 1158$ | $-\,2^{3}\cdot 3\cdot 193$ | $C_2$ (as 2T1) | $[2, 12]$ |
2.0.4692.1 | $x^{2} + 1173$ | $-\,2^{2}\cdot 3\cdot 17\cdot 23$ | $C_2$ (as 2T1) | $[2, 2, 6]$ |