Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
2.0.1003.1 |
x2 - x + 251 |
$2$ |
[0,1] |
$-\,17\cdot 59$ |
$2$ |
$31.6701752442$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$0$ |
$1$ |
2.0.1007.1 |
x2 - x + 252 |
$2$ |
[0,1] |
$-\,19\cdot 53$ |
$2$ |
$31.7332633052$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[30]$ |
$2$ |
$0$ |
$1$ |
2.0.1011.1 |
x2 - x + 253 |
$2$ |
[0,1] |
$-\,3\cdot 337$ |
$2$ |
$31.7962261912$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
$0$ |
$1$ |
2.0.1012.1 |
x2 + 253 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 11\cdot 23$ |
$3$ |
$31.8119474412$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$0$ |
$1$ |
2.0.1015.1 |
x2 - x + 254 |
$2$ |
[0,1] |
$-\,5\cdot 7\cdot 29$ |
$3$ |
$31.8590646441$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
$0$ |
$1$ |
2.0.1016.1 |
x2 + 254 |
$2$ |
[0,1] |
$-\,2^{3}\cdot 127$ |
$2$ |
$31.874754901$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$2$ |
$0$ |
$1$ |
2.0.1019.1 |
x2 - x + 255 |
$2$ |
[0,1] |
$-\,1019$ |
$1$ |
$31.921779399$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[13]$ |
$2$ |
$0$ |
$1$ |
2.0.1023.1 |
x2 - x + 256 |
$2$ |
[0,1] |
$-\,3\cdot 11\cdot 31$ |
$3$ |
$31.9843711834$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
$0$ |
$1$ |
2.0.1027.1 |
x2 - x + 257 |
$2$ |
[0,1] |
$-\,13\cdot 79$ |
$2$ |
$32.0468407179$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$0$ |
$1$ |
2.0.1028.1 |
x2 + 257 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 257$ |
$2$ |
$32.0624390838$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$2$ |
$0$ |
$1$ |
2.0.1031.1 |
x2 - x + 258 |
$2$ |
[0,1] |
$-\,1031$ |
$1$ |
$32.109188716$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[35]$ |
$2$ |
$0$ |
$1$ |
2.0.1032.1 |
x2 + 258 |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 43$ |
$3$ |
$32.1247568084$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
$0$ |
$1$ |
2.0.1039.1 |
x2 - x + 260 |
$2$ |
[0,1] |
$-\,1039$ |
$1$ |
$32.2335229226$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[23]$ |
$2$ |
$0$ |
$1$ |
2.0.1043.1 |
x2 - x + 261 |
$2$ |
[0,1] |
$-\,7\cdot 149$ |
$2$ |
$32.2955105239$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
$0$ |
$1$ |
2.0.1047.1 |
x2 - x + 262 |
$2$ |
[0,1] |
$-\,3\cdot 349$ |
$2$ |
$32.3573793747$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$2$ |
$0$ |
$1$ |
2.0.1048.1 |
x2 + 262 |
$2$ |
[0,1] |
$-\,2^{3}\cdot 131$ |
$2$ |
$32.3728281125$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
$0$ |
$1$ |
2.0.1051.1 |
x2 - x + 263 |
$2$ |
[0,1] |
$-\,1051$ |
$1$ |
$32.4191301549$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[5]$ |
$2$ |
$0$ |
$1$ |
2.0.1055.1 |
x2 - x + 264 |
$2$ |
[0,1] |
$-\,5\cdot 211$ |
$2$ |
$32.4807635378$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[36]$ |
$2$ |
$0$ |
$1$ |
2.0.1059.1 |
x2 - x + 265 |
$2$ |
[0,1] |
$-\,3\cdot 353$ |
$2$ |
$32.5422801905$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
$0$ |
$1$ |
2.0.1060.1 |
x2 + 265 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 53$ |
$3$ |
$32.5576411922$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
$0$ |
$1$ |
2.0.1063.1 |
x2 - x + 266 |
$2$ |
[0,1] |
$-\,1063$ |
$1$ |
$32.6036807738$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[19]$ |
$2$ |
$0$ |
$1$ |
2.0.1064.1 |
x2 + 266 |
$2$ |
[0,1] |
$-\,2^{3}\cdot 7\cdot 19$ |
$3$ |
$32.6190128606$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
$0$ |
$1$ |
2.0.1067.1 |
x2 - x + 267 |
$2$ |
[0,1] |
$-\,11\cdot 97$ |
$2$ |
$32.6649659421$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
$0$ |
$1$ |
2.0.1076.1 |
x2 + 269 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 269$ |
$2$ |
$32.8024389337$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[22]$ |
$2$ |
$0$ |
$1$ |
2.0.1079.1 |
x2 - x + 270 |
$2$ |
[0,1] |
$-\,13\cdot 83$ |
$2$ |
$32.8481354113$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[34]$ |
$2$ |
$0$ |
$1$ |
2.0.1087.1 |
x2 - x + 272 |
$2$ |
[0,1] |
$-\,1087$ |
$1$ |
$32.9696830437$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[9]$ |
$2$ |
$0$ |
$1$ |
2.0.1091.1 |
x2 - x + 273 |
$2$ |
[0,1] |
$-\,1091$ |
$1$ |
$33.0302891298$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[17]$ |
$2$ |
$0$ |
$1$ |
2.0.1092.1 |
x2 + 273 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 7\cdot 13$ |
$4$ |
$33.0454232837$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 2]$ |
$2$ |
$0$ |
$1$ |
2.0.1095.1 |
x2 - x + 274 |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 73$ |
$3$ |
$33.0907842155$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$2$ |
$0$ |
$1$ |
2.0.1096.1 |
x2 + 274 |
$2$ |
[0,1] |
$-\,2^{3}\cdot 137$ |
$2$ |
$33.1058907145$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
$0$ |
$1$ |
2.0.1099.1 |
x2 - x + 275 |
$2$ |
[0,1] |
$-\,7\cdot 157$ |
$2$ |
$33.1511689085$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
$0$ |
$1$ |
2.0.1103.1 |
x2 - x + 276 |
$2$ |
[0,1] |
$-\,1103$ |
$1$ |
$33.2114438108$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[23]$ |
$2$ |
$0$ |
$1$ |
2.0.1108.1 |
x2 + 277 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 277$ |
$2$ |
$33.2866339542$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
$0$ |
$1$ |
2.0.1111.1 |
x2 - x + 278 |
$2$ |
[0,1] |
$-\,11\cdot 101$ |
$2$ |
$33.331666625$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[22]$ |
$2$ |
$0$ |
$1$ |
2.0.1112.1 |
x2 + 278 |
$2$ |
[0,1] |
$-\,2^{3}\cdot 139$ |
$2$ |
$33.3466640011$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[14]$ |
$2$ |
$0$ |
$1$ |
2.0.1115.1 |
x2 - x + 279 |
$2$ |
[0,1] |
$-\,5\cdot 223$ |
$2$ |
$33.3916157141$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$2$ |
$0$ |
$1$ |
2.0.1119.1 |
x2 - x + 280 |
$2$ |
[0,1] |
$-\,3\cdot 373$ |
$2$ |
$33.4514573674$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[32]$ |
$2$ |
$0$ |
$1$ |
2.0.1123.1 |
x2 - x + 281 |
$2$ |
[0,1] |
$-\,1123$ |
$1$ |
$33.5111921602$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[5]$ |
$2$ |
$0$ |
$1$ |
2.0.1124.1 |
x2 + 281 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 281$ |
$2$ |
$33.5261092285$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[20]$ |
$2$ |
$0$ |
$1$ |
2.0.1128.1 |
x2 + 282 |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 47$ |
$3$ |
$33.5857112475$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
$0$ |
$1$ |
2.0.1131.1 |
x2 - x + 283 |
$2$ |
[0,1] |
$-\,3\cdot 13\cdot 29$ |
$3$ |
$33.6303434416$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
$0$ |
$1$ |
2.0.1135.1 |
x2 - x + 284 |
$2$ |
[0,1] |
$-\,5\cdot 227$ |
$2$ |
$33.6897610558$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[18]$ |
$2$ |
$0$ |
$1$ |
2.0.1139.1 |
x2 - x + 285 |
$2$ |
[0,1] |
$-\,17\cdot 67$ |
$2$ |
$33.7490740614$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$2$ |
$0$ |
$1$ |
2.0.1140.1 |
x2 + 285 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 5\cdot 19$ |
$4$ |
$33.7638860323$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 4]$ |
$2$ |
$0$ |
$1$ |
2.0.1144.1 |
x2 + 286 |
$2$ |
[0,1] |
$-\,2^{3}\cdot 11\cdot 13$ |
$3$ |
$33.8230690506$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
$0$ |
$1$ |
2.0.1147.1 |
x2 - x + 287 |
$2$ |
[0,1] |
$-\,31\cdot 37$ |
$2$ |
$33.8673884438$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
$0$ |
$1$ |
2.0.1151.1 |
x2 - x + 288 |
$2$ |
[0,1] |
$-\,1151$ |
$1$ |
$33.9263909074$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[41]$ |
$2$ |
$0$ |
$1$ |
2.0.1155.1 |
x2 - x + 289 |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 7\cdot 11$ |
$4$ |
$33.9852909359$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 2]$ |
$2$ |
$0$ |
$1$ |
2.0.1159.1 |
x2 - x + 290 |
$2$ |
[0,1] |
$-\,19\cdot 61$ |
$2$ |
$34.0440890611$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$2$ |
$0$ |
$1$ |
2.0.1160.1 |
x2 + 290 |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 29$ |
$3$ |
$34.0587727319$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
$0$ |
$1$ |