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 |
---|---|---|---|---|
2.0.95.1 | $ x^{2} - x + 24 $ | $-\,5\cdot 19$ | $C_2$ (as 2T1) | $[8]$ |
2.0.111.1 | $ x^{2} - x + 28 $ | $-\,3\cdot 37$ | $C_2$ (as 2T1) | $[8]$ |
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) | $[8]$ |
2.0.248.1 | $ x^{2} + 62 $ | $-\,2^{3}\cdot 31$ | $C_2$ (as 2T1) | $[8]$ |
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) | $[8]$ |
2.0.299.1 | $ x^{2} - x + 75 $ | $-\,13\cdot 23$ | $C_2$ (as 2T1) | $[8]$ |
2.0.308.1 | $ x^{2} + 77 $ | $-\,2^{2}\cdot 7\cdot 11$ | $C_2$ (as 2T1) | $[2, 4]$ |
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) | $[8]$ |
2.0.420.1 | $ x^{2} + 105 $ | $-\,2^{2}\cdot 3\cdot 5\cdot 7$ | $C_2$ (as 2T1) | $[2, 2, 2]$ |
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) | $[2, 4]$ |
2.0.548.1 | $ x^{2} + 137 $ | $-\,2^{2}\cdot 137$ | $C_2$ (as 2T1) | $[8]$ |
2.0.552.1 | $ x^{2} + 138 $ | $-\,2^{3}\cdot 3\cdot 23$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.564.1 | $ x^{2} + 141 $ | $-\,2^{2}\cdot 3\cdot 47$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.579.1 | $ x^{2} - x + 145 $ | $-\,3\cdot 193$ | $C_2$ (as 2T1) | $[8]$ |
2.0.580.1 | $ x^{2} + 145 $ | $-\,2^{2}\cdot 5\cdot 29$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.583.1 | $ x^{2} - x + 146 $ | $-\,11\cdot 53$ | $C_2$ (as 2T1) | $[8]$ |
2.0.616.1 | $ x^{2} + 154 $ | $-\,2^{3}\cdot 7\cdot 11$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.632.1 | $ x^{2} + 158 $ | $-\,2^{3}\cdot 79$ | $C_2$ (as 2T1) | $[8]$ |
2.0.651.1 | $ x^{2} - x + 163 $ | $-\,3\cdot 7\cdot 31$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.660.1 | $ x^{2} + 165 $ | $-\,2^{2}\cdot 3\cdot 5\cdot 11$ | $C_2$ (as 2T1) | $[2, 2, 2]$ |
2.0.712.1 | $ x^{2} + 178 $ | $-\,2^{3}\cdot 89$ | $C_2$ (as 2T1) | $[8]$ |
2.0.820.1 | $ x^{2} + 205 $ | $-\,2^{2}\cdot 5\cdot 41$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.840.1 | $ x^{2} + 210 $ | $-\,2^{3}\cdot 3\cdot 5\cdot 7$ | $C_2$ (as 2T1) | $[2, 2, 2]$ |
2.0.852.1 | $ x^{2} + 213 $ | $-\,2^{2}\cdot 3\cdot 71$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.868.1 | $ x^{2} + 217 $ | $-\,2^{2}\cdot 7\cdot 31$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.904.1 | $ x^{2} + 226 $ | $-\,2^{3}\cdot 113$ | $C_2$ (as 2T1) | $[8]$ |
2.2.904.1 | $ x^{2} - 226 $ | $2^{3}\cdot 113$ | $C_2$ (as 2T1) | $[8]$ |
2.0.915.1 | $ x^{2} - x + 229 $ | $-\,3\cdot 5\cdot 61$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.939.1 | $ x^{2} - x + 235 $ | $-\,3\cdot 313$ | $C_2$ (as 2T1) | $[8]$ |
2.0.952.1 | $ x^{2} + 238 $ | $-\,2^{3}\cdot 7\cdot 17$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.979.1 | $ x^{2} - x + 245 $ | $-\,11\cdot 89$ | $C_2$ (as 2T1) | $[8]$ |
2.0.987.1 | $ x^{2} - x + 247 $ | $-\,3\cdot 7\cdot 47$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.995.1 | $ x^{2} - x + 249 $ | $-\,5\cdot 199$ | $C_2$ (as 2T1) | $[8]$ |
2.0.1032.1 | $ x^{2} + 258 $ | $-\,2^{3}\cdot 3\cdot 43$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.1043.1 | $ x^{2} - x + 261 $ | $-\,7\cdot 149$ | $C_2$ (as 2T1) | $[8]$ |
2.0.1060.1 | $ x^{2} + 265 $ | $-\,2^{2}\cdot 5\cdot 53$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.1092.1 | $ x^{2} + 273 $ | $-\,2^{2}\cdot 3\cdot 7\cdot 13$ | $C_2$ (as 2T1) | $[2, 2, 2]$ |
2.0.1128.1 | $ x^{2} + 282 $ | $-\,2^{3}\cdot 3\cdot 47$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.1131.1 | $ x^{2} - x + 283 $ | $-\,3\cdot 13\cdot 29$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.1155.1 | $ x^{2} - x + 289 $ | $-\,3\cdot 5\cdot 7\cdot 11$ | $C_2$ (as 2T1) | $[2, 2, 2]$ |
2.0.1195.1 | $ x^{2} - x + 299 $ | $-\,5\cdot 239$ | $C_2$ (as 2T1) | $[8]$ |
2.0.1204.1 | $ x^{2} + 301 $ | $-\,2^{2}\cdot 7\cdot 43$ | $C_2$ (as 2T1) | $[2, 4]$ |
2.0.1240.1 | $ x^{2} + 310 $ | $-\,2^{3}\cdot 5\cdot 31$ | $C_2$ (as 2T1) | $[2, 4]$ |