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Label | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
2.2.1001.1 | $x^{2} - x - 250$ | $7\cdot 11\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.1004.1 | $x^{2} - 251$ | $2^{2}\cdot 251$ | $C_2$ (as 2T1) | trivial |
2.2.1005.1 | $x^{2} - x - 251$ | $3\cdot 5\cdot 67$ | $C_2$ (as 2T1) | $[2]$ |
2.2.1009.1 | $x^{2} - x - 252$ | $1009$ | $C_2$ (as 2T1) | $[7]$ |
2.2.1013.1 | $x^{2} - x - 253$ | $1013$ | $C_2$ (as 2T1) | trivial |
2.2.1016.1 | $x^{2} - 254$ | $2^{3}\cdot 127$ | $C_2$ (as 2T1) | $[3]$ |
2.2.1020.1 | $x^{2} - 255$ | $2^{2}\cdot 3\cdot 5\cdot 17$ | $C_2$ (as 2T1) | $[2, 2]$ |
2.2.1021.1 | $x^{2} - x - 255$ | $1021$ | $C_2$ (as 2T1) | trivial |
2.2.1032.1 | $x^{2} - 258$ | $2^{3}\cdot 3\cdot 43$ | $C_2$ (as 2T1) | $[2]$ |
2.2.1033.1 | $x^{2} - x - 258$ | $1033$ | $C_2$ (as 2T1) | trivial |
2.2.1036.1 | $x^{2} - 259$ | $2^{2}\cdot 7\cdot 37$ | $C_2$ (as 2T1) | $[2]$ |
2.2.1037.1 | $x^{2} - x - 259$ | $17\cdot 61$ | $C_2$ (as 2T1) | $[2]$ |
2.2.1041.1 | $x^{2} - x - 260$ | $3\cdot 347$ | $C_2$ (as 2T1) | trivial |
2.2.1045.1 | $x^{2} - x - 261$ | $5\cdot 11\cdot 19$ | $C_2$ (as 2T1) | $[4]$ |
2.2.1048.1 | $x^{2} - 262$ | $2^{3}\cdot 131$ | $C_2$ (as 2T1) | trivial |
2.2.1049.1 | $x^{2} - x - 262$ | $1049$ | $C_2$ (as 2T1) | trivial |
2.2.1052.1 | $x^{2} - 263$ | $2^{2}\cdot 263$ | $C_2$ (as 2T1) | trivial |
2.2.1057.1 | $x^{2} - x - 264$ | $7\cdot 151$ | $C_2$ (as 2T1) | trivial |
2.2.1061.1 | $x^{2} - x - 265$ | $1061$ | $C_2$ (as 2T1) | trivial |
2.2.1064.1 | $x^{2} - 266$ | $2^{3}\cdot 7\cdot 19$ | $C_2$ (as 2T1) | $[2]$ |
2.2.1065.1 | $x^{2} - x - 266$ | $3\cdot 5\cdot 71$ | $C_2$ (as 2T1) | $[2]$ |
2.2.1068.1 | $x^{2} - 267$ | $2^{2}\cdot 3\cdot 89$ | $C_2$ (as 2T1) | $[2]$ |
2.2.1069.1 | $x^{2} - x - 267$ | $1069$ | $C_2$ (as 2T1) | trivial |
2.2.1073.1 | $x^{2} - x - 268$ | $29\cdot 37$ | $C_2$ (as 2T1) | $[2]$ |
2.2.1077.1 | $x^{2} - x - 269$ | $3\cdot 359$ | $C_2$ (as 2T1) | trivial |
2.2.1081.1 | $x^{2} - x - 270$ | $23\cdot 47$ | $C_2$ (as 2T1) | trivial |
2.2.1084.1 | $x^{2} - 271$ | $2^{2}\cdot 271$ | $C_2$ (as 2T1) | trivial |
2.2.1085.1 | $x^{2} - x - 271$ | $5\cdot 7\cdot 31$ | $C_2$ (as 2T1) | $[2]$ |
2.2.1093.1 | $x^{2} - x - 273$ | $1093$ | $C_2$ (as 2T1) | $[5]$ |
2.2.1096.1 | $x^{2} - 274$ | $2^{3}\cdot 137$ | $C_2$ (as 2T1) | $[4]$ |
2.2.1097.1 | $x^{2} - x - 274$ | $1097$ | $C_2$ (as 2T1) | trivial |
2.2.1101.1 | $x^{2} - x - 275$ | $3\cdot 367$ | $C_2$ (as 2T1) | $[3]$ |
2.2.1105.1 | $x^{2} - x - 276$ | $5\cdot 13\cdot 17$ | $C_2$ (as 2T1) | $[2, 2]$ |
2.2.1109.1 | $x^{2} - x - 277$ | $1109$ | $C_2$ (as 2T1) | trivial |
2.2.1112.1 | $x^{2} - 278$ | $2^{3}\cdot 139$ | $C_2$ (as 2T1) | trivial |
2.2.1113.1 | $x^{2} - x - 278$ | $3\cdot 7\cdot 53$ | $C_2$ (as 2T1) | $[2]$ |
2.2.1117.1 | $x^{2} - x - 279$ | $1117$ | $C_2$ (as 2T1) | trivial |
2.2.1121.1 | $x^{2} - x - 280$ | $19\cdot 59$ | $C_2$ (as 2T1) | trivial |
2.2.1128.1 | $x^{2} - 282$ | $2^{3}\cdot 3\cdot 47$ | $C_2$ (as 2T1) | $[2]$ |
2.2.1129.1 | $x^{2} - x - 282$ | $1129$ | $C_2$ (as 2T1) | $[9]$ |
2.2.1132.1 | $x^{2} - 283$ | $2^{2}\cdot 283$ | $C_2$ (as 2T1) | trivial |
2.2.1133.1 | $x^{2} - x - 283$ | $11\cdot 103$ | $C_2$ (as 2T1) | trivial |
2.2.1137.1 | $x^{2} - x - 284$ | $3\cdot 379$ | $C_2$ (as 2T1) | trivial |
2.2.1141.1 | $x^{2} - x - 285$ | $7\cdot 163$ | $C_2$ (as 2T1) | trivial |
2.2.1144.1 | $x^{2} - 286$ | $2^{3}\cdot 11\cdot 13$ | $C_2$ (as 2T1) | $[2]$ |
2.2.1145.1 | $x^{2} - x - 286$ | $5\cdot 229$ | $C_2$ (as 2T1) | $[4]$ |
2.2.1148.1 | $x^{2} - 287$ | $2^{2}\cdot 7\cdot 41$ | $C_2$ (as 2T1) | $[2]$ |
2.2.1149.1 | $x^{2} - x - 287$ | $3\cdot 383$ | $C_2$ (as 2T1) | trivial |
2.2.1153.1 | $x^{2} - x - 288$ | $1153$ | $C_2$ (as 2T1) | trivial |
2.2.1157.1 | $x^{2} - x - 289$ | $13\cdot 89$ | $C_2$ (as 2T1) | $[2]$ |