## Refine search

Label | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|

2.0.1003.1 | x^{2} - x + 251 |
$-\,17\cdot 59$ | $C_2$ (as 2T1) | $[4]$ |

2.0.1007.1 | x^{2} - x + 252 |
$-\,19\cdot 53$ | $C_2$ (as 2T1) | $[30]$ |

2.0.1011.1 | x^{2} - x + 253 |
$-\,3\cdot 337$ | $C_2$ (as 2T1) | $[12]$ |

2.0.1012.1 | x^{2} + 253 |
$-\,2^{2}\cdot 11\cdot 23$ | $C_2$ (as 2T1) | $[2, 2]$ |

2.0.1015.1 | x^{2} - x + 254 |
$-\,5\cdot 7\cdot 29$ | $C_2$ (as 2T1) | $[2, 8]$ |

2.0.1016.1 | x^{2} + 254 |
$-\,2^{3}\cdot 127$ | $C_2$ (as 2T1) | $[16]$ |

2.0.1019.1 | x^{2} - x + 255 |
$-\,1019$ | $C_2$ (as 2T1) | $[13]$ |

2.0.1023.1 | x^{2} - x + 256 |
$-\,3\cdot 11\cdot 31$ | $C_2$ (as 2T1) | $[2, 8]$ |

2.0.1027.1 | x^{2} - x + 257 |
$-\,13\cdot 79$ | $C_2$ (as 2T1) | $[4]$ |

2.0.1028.1 | x^{2} + 257 |
$-\,2^{2}\cdot 257$ | $C_2$ (as 2T1) | $[16]$ |

2.0.1031.1 | x^{2} - x + 258 |
$-\,1031$ | $C_2$ (as 2T1) | $[35]$ |

2.0.1032.1 | x^{2} + 258 |
$-\,2^{3}\cdot 3\cdot 43$ | $C_2$ (as 2T1) | $[2, 4]$ |

2.0.1039.1 | x^{2} - x + 260 |
$-\,1039$ | $C_2$ (as 2T1) | $[23]$ |

2.0.1043.1 | x^{2} - x + 261 |
$-\,7\cdot 149$ | $C_2$ (as 2T1) | $[8]$ |

2.0.1047.1 | x^{2} - x + 262 |
$-\,3\cdot 349$ | $C_2$ (as 2T1) | $[16]$ |

2.0.1048.1 | x^{2} + 262 |
$-\,2^{3}\cdot 131$ | $C_2$ (as 2T1) | $[6]$ |

2.0.1051.1 | x^{2} - x + 263 |
$-\,1051$ | $C_2$ (as 2T1) | $[5]$ |

2.0.1055.1 | x^{2} - x + 264 |
$-\,5\cdot 211$ | $C_2$ (as 2T1) | $[36]$ |

2.0.1059.1 | x^{2} - x + 265 |
$-\,3\cdot 353$ | $C_2$ (as 2T1) | $[6]$ |

2.0.1060.1 | x^{2} + 265 |
$-\,2^{2}\cdot 5\cdot 53$ | $C_2$ (as 2T1) | $[2, 4]$ |

2.0.1063.1 | x^{2} - x + 266 |
$-\,1063$ | $C_2$ (as 2T1) | $[19]$ |

2.0.1064.1 | x^{2} + 266 |
$-\,2^{3}\cdot 7\cdot 19$ | $C_2$ (as 2T1) | $[2, 10]$ |

2.0.1067.1 | x^{2} - x + 267 |
$-\,11\cdot 97$ | $C_2$ (as 2T1) | $[12]$ |

2.0.1076.1 | x^{2} + 269 |
$-\,2^{2}\cdot 269$ | $C_2$ (as 2T1) | $[22]$ |

2.0.1079.1 | x^{2} - x + 270 |
$-\,13\cdot 83$ | $C_2$ (as 2T1) | $[34]$ |

2.0.1087.1 | x^{2} - x + 272 |
$-\,1087$ | $C_2$ (as 2T1) | $[9]$ |

2.0.1091.1 | x^{2} - x + 273 |
$-\,1091$ | $C_2$ (as 2T1) | $[17]$ |

2.0.1092.1 | x^{2} + 273 |
$-\,2^{2}\cdot 3\cdot 7\cdot 13$ | $C_2$ (as 2T1) | $[2, 2, 2]$ |

2.0.1095.1 | x^{2} - x + 274 |
$-\,3\cdot 5\cdot 73$ | $C_2$ (as 2T1) | $[2, 14]$ |

2.0.1096.1 | x^{2} + 274 |
$-\,2^{3}\cdot 137$ | $C_2$ (as 2T1) | $[12]$ |

2.0.1099.1 | x^{2} - x + 275 |
$-\,7\cdot 157$ | $C_2$ (as 2T1) | $[6]$ |

2.0.1103.1 | x^{2} - x + 276 |
$-\,1103$ | $C_2$ (as 2T1) | $[23]$ |

2.0.1108.1 | x^{2} + 277 |
$-\,2^{2}\cdot 277$ | $C_2$ (as 2T1) | $[6]$ |

2.0.1111.1 | x^{2} - x + 278 |
$-\,11\cdot 101$ | $C_2$ (as 2T1) | $[22]$ |

2.0.1112.1 | x^{2} + 278 |
$-\,2^{3}\cdot 139$ | $C_2$ (as 2T1) | $[14]$ |

2.0.1115.1 | x^{2} - x + 279 |
$-\,5\cdot 223$ | $C_2$ (as 2T1) | $[10]$ |

2.0.1119.1 | x^{2} - x + 280 |
$-\,3\cdot 373$ | $C_2$ (as 2T1) | $[32]$ |

2.0.1123.1 | x^{2} - x + 281 |
$-\,1123$ | $C_2$ (as 2T1) | $[5]$ |

2.0.1124.1 | x^{2} + 281 |
$-\,2^{2}\cdot 281$ | $C_2$ (as 2T1) | $[20]$ |

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) | $[2, 4]$ |

2.0.1135.1 | x^{2} - x + 284 |
$-\,5\cdot 227$ | $C_2$ (as 2T1) | $[18]$ |

2.0.1139.1 | x^{2} - x + 285 |
$-\,17\cdot 67$ | $C_2$ (as 2T1) | $[16]$ |

2.0.1140.1 | x^{2} + 285 |
$-\,2^{2}\cdot 3\cdot 5\cdot 19$ | $C_2$ (as 2T1) | $[2, 2, 4]$ |

2.0.1144.1 | x^{2} + 286 |
$-\,2^{3}\cdot 11\cdot 13$ | $C_2$ (as 2T1) | $[2, 6]$ |

2.0.1147.1 | x^{2} - x + 287 |
$-\,31\cdot 37$ | $C_2$ (as 2T1) | $[6]$ |

2.0.1151.1 | x^{2} - x + 288 |
$-\,1151$ | $C_2$ (as 2T1) | $[41]$ |

2.0.1155.1 | x^{2} - x + 289 |
$-\,3\cdot 5\cdot 7\cdot 11$ | $C_2$ (as 2T1) | $[2, 2, 2]$ |

2.0.1159.1 | x^{2} - x + 290 |
$-\,19\cdot 61$ | $C_2$ (as 2T1) | $[16]$ |

2.0.1160.1 | x^{2} + 290 |
$-\,2^{3}\cdot 5\cdot 29$ | $C_2$ (as 2T1) | $[2, 10]$ |