Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
2.0.11.1 |
$x^{2} - x + 3$ |
$2$ |
[0,1] |
$-\,11$ |
$1$ |
$3.31662479036$ |
$3.3166247903554$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
0 |
$1$ |
2.0.55.1 |
$x^{2} - x + 14$ |
$2$ |
[0,1] |
$-\,5\cdot 11$ |
$2$ |
$7.4161984871$ |
$7.416198487095663$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
0 |
$1$ |
2.2.77.1 |
$x^{2} - x - 19$ |
$2$ |
[2,0] |
$7\cdot 11$ |
$2$ |
$8.77496438739$ |
$8.774964387392123$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$2.18464379161$ |
2.2.88.1 |
$x^{2} - 22$ |
$2$ |
[2,0] |
$2^{3}\cdot 11$ |
$2$ |
$9.38083151965$ |
$9.38083151964686$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$5.97634446743$ |
2.0.132.1 |
$x^{2} + 33$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 11$ |
$3$ |
$11.4891252931$ |
$11.489125293076057$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.2.209.1 |
$x^{2} - x - 52$ |
$2$ |
[2,0] |
$11\cdot 19$ |
$2$ |
$14.4568322948$ |
$14.45683229480096$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$11.4414509452$ |
2.2.264.1 |
$x^{2} - 66$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 11$ |
$3$ |
$16.2480768093$ |
$16.24807680927192$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.86747527361$ |
2.2.385.1 |
$x^{2} - x - 96$ |
$2$ |
[2,0] |
$5\cdot 7\cdot 11$ |
$3$ |
$19.6214168703$ |
$19.621416870348583$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$12.163488683$ |
2.0.407.1 |
$x^{2} - x + 102$ |
$2$ |
[0,1] |
$-\,11\cdot 37$ |
$2$ |
$20.1742410018$ |
$20.174241001832016$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$2$ |
0 |
$1$ |
2.2.429.1 |
$x^{2} - x - 107$ |
$2$ |
[2,0] |
$3\cdot 11\cdot 13$ |
$3$ |
$20.7123151772$ |
$20.71231517720798$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.9766861766$ |
2.2.440.1 |
$x^{2} - 110$ |
$2$ |
[2,0] |
$2^{3}\cdot 5\cdot 11$ |
$3$ |
$20.9761769634$ |
$20.97617696340303$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.7371022422$ |
2.2.473.1 |
$x^{2} - x - 118$ |
$2$ |
[2,0] |
$11\cdot 43$ |
$2$ |
$21.7485631709$ |
$21.748563170931547$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$2$ |
$1$ |
$5.15902226812$ |
2.2.561.1 |
$x^{2} - x - 140$ |
$2$ |
[2,0] |
$3\cdot 11\cdot 17$ |
$3$ |
$23.6854385647$ |
$23.68543856465402$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$13.8600727492$ |
2.2.572.1 |
$x^{2} - 143$ |
$2$ |
[2,0] |
$2^{2}\cdot 11\cdot 13$ |
$3$ |
$23.9165214862$ |
$23.916521486202797$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.17631318059$ |
2.0.583.1 |
$x^{2} - x + 146$ |
$2$ |
[0,1] |
$-\,11\cdot 53$ |
$2$ |
$24.1453929353$ |
$24.145392935299274$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
2.0.616.1 |
$x^{2} + 154$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 7\cdot 11$ |
$3$ |
$24.819347292$ |
$24.819347291981714$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.0.660.1 |
$x^{2} + 165$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 5\cdot 11$ |
$4$ |
$25.6904651573$ |
$25.69046515733026$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 2]$ |
$2$ |
0 |
$1$ |
2.2.748.1 |
$x^{2} - 187$ |
$2$ |
[2,0] |
$2^{2}\cdot 11\cdot 17$ |
$3$ |
$27.3495886624$ |
$27.349588662354687$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$8.12088593273$ |
2.0.759.1 |
$x^{2} - x + 190$ |
$2$ |
[0,1] |
$-\,3\cdot 11\cdot 23$ |
$3$ |
$27.5499546279$ |
$27.54995462791182$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$2$ |
0 |
$1$ |
2.2.869.1 |
$x^{2} - x - 217$ |
$2$ |
[2,0] |
$11\cdot 79$ |
$2$ |
$29.478805946$ |
$29.478805945967352$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$10.8072400073$ |
2.2.913.1 |
$x^{2} - x - 228$ |
$2$ |
[2,0] |
$11\cdot 83$ |
$2$ |
$30.2158898595$ |
$30.215889859476256$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$34.5697598965$ |
2.2.924.1 |
$x^{2} - 231$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 7\cdot 11$ |
$4$ |
$30.3973683071$ |
$30.397368307141328$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$5.02383723549$ |
2.2.957.1 |
$x^{2} - x - 239$ |
$2$ |
[2,0] |
$3\cdot 11\cdot 29$ |
$3$ |
$30.9354165965$ |
$30.93541659651604$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.43294499377$ |
2.0.979.1 |
$x^{2} - x + 245$ |
$2$ |
[0,1] |
$-\,11\cdot 89$ |
$2$ |
$31.2889756943$ |
$31.28897569432403$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
2.0.1012.1 |
$x^{2} + 253$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 11\cdot 23$ |
$3$ |
$31.8119474412$ |
$31.811947441173732$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.0.1023.1 |
$x^{2} - x + 256$ |
$2$ |
[0,1] |
$-\,3\cdot 11\cdot 31$ |
$3$ |
$31.9843711834$ |
$31.984371183438952$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
2.2.1045.1 |
$x^{2} - x - 261$ |
$2$ |
[2,0] |
$5\cdot 11\cdot 19$ |
$3$ |
$32.3264597505$ |
$32.32645975048923$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$4.57460468034$ |
2.0.1067.1 |
$x^{2} - x + 267$ |
$2$ |
[0,1] |
$-\,11\cdot 97$ |
$2$ |
$32.6649659421$ |
$32.66496594212215$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
0 |
$1$ |
2.0.1144.1 |
$x^{2} + 286$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 11\cdot 13$ |
$3$ |
$33.8230690506$ |
$33.823069050575526$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
0 |
$1$ |
2.2.1177.1 |
$x^{2} - x - 294$ |
$2$ |
[2,0] |
$11\cdot 107$ |
$2$ |
$34.3074335968$ |
$34.307433596816885$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$44.3890751898$ |
2.0.1243.1 |
$x^{2} - x + 311$ |
$2$ |
[0,1] |
$-\,11\cdot 113$ |
$2$ |
$35.2562051276$ |
$35.25620512760839$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
0 |
$1$ |
2.2.1276.1 |
$x^{2} - 319$ |
$2$ |
[2,0] |
$2^{2}\cdot 11\cdot 29$ |
$3$ |
$35.721142199$ |
$35.7211421989835$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$17.0660230249$ |
2.2.1320.1 |
$x^{2} - 330$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 5\cdot 11$ |
$4$ |
$36.3318042492$ |
$36.3318042491699$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$5.38447402013$ |
2.2.1353.1 |
$x^{2} - x - 338$ |
$2$ |
[2,0] |
$3\cdot 11\cdot 41$ |
$3$ |
$36.7831483155$ |
$36.78314831549904$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$18.2694492359$ |
2.0.1364.1 |
$x^{2} + 341$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 11\cdot 31$ |
$3$ |
$36.9323706252$ |
$36.932370625238775$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$2$ |
0 |
$1$ |
2.2.1397.1 |
$x^{2} - x - 349$ |
$2$ |
[2,0] |
$11\cdot 127$ |
$2$ |
$37.3764631821$ |
$37.376463182061514$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$8.06369253519$ |
2.2.1441.1 |
$x^{2} - x - 360$ |
$2$ |
[2,0] |
$11\cdot 131$ |
$2$ |
$37.9605057922$ |
$37.960505792204614$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$55.7820430023$ |
2.0.1463.1 |
$x^{2} - x + 366$ |
$2$ |
[0,1] |
$-\,7\cdot 11\cdot 19$ |
$3$ |
$38.2491829978$ |
$38.24918299781056$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 16]$ |
$2$ |
0 |
$1$ |
2.0.1496.1 |
$x^{2} + 374$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 11\cdot 17$ |
$3$ |
$38.6781592116$ |
$38.67815921162743$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$2$ |
0 |
$1$ |
2.0.1507.1 |
$x^{2} - x + 377$ |
$2$ |
[0,1] |
$-\,11\cdot 137$ |
$2$ |
$38.8200978876$ |
$38.82009788756334$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
0 |
$1$ |
2.2.1529.1 |
$x^{2} - x - 382$ |
$2$ |
[2,0] |
$11\cdot 139$ |
$2$ |
$39.102429592$ |
$39.102429592034305$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$32.6047904757$ |
2.0.1551.1 |
$x^{2} - x + 388$ |
$2$ |
[0,1] |
$-\,3\cdot 11\cdot 47$ |
$3$ |
$39.382737335$ |
$39.382737335030434$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 16]$ |
$2$ |
0 |
$1$ |
2.2.1661.1 |
$x^{2} - x - 415$ |
$2$ |
[2,0] |
$11\cdot 151$ |
$2$ |
$40.7553677446$ |
$40.755367744629666$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$14.8862283886$ |
2.0.1672.1 |
$x^{2} + 418$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 11\cdot 19$ |
$3$ |
$40.8900966005$ |
$40.890096600521744$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.0.1727.1 |
$x^{2} - x + 432$ |
$2$ |
[0,1] |
$-\,11\cdot 157$ |
$2$ |
$41.5571895104$ |
$41.557189510360296$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[36]$ |
$2$ |
0 |
$1$ |
2.2.1804.1 |
$x^{2} - 451$ |
$2$ |
[2,0] |
$2^{2}\cdot 11\cdot 41$ |
$3$ |
$42.4735211632$ |
$42.473521163190604$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$18.3474967448$ |
2.2.1837.1 |
$x^{2} - x - 459$ |
$2$ |
[2,0] |
$11\cdot 167$ |
$2$ |
$42.8602379835$ |
$42.86023798347368$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$17.1745509224$ |
2.0.1848.1 |
$x^{2} + 462$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 7\cdot 11$ |
$4$ |
$42.9883705204$ |
$42.988370520409354$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 2]$ |
$2$ |
0 |
$1$ |
2.0.1947.1 |
$x^{2} - x + 487$ |
$2$ |
[0,1] |
$-\,3\cdot 11\cdot 59$ |
$3$ |
$44.1248229458$ |
$44.12482294582042$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.0.1991.1 |
$x^{2} - x + 498$ |
$2$ |
[0,1] |
$-\,11\cdot 181$ |
$2$ |
$44.6206230346$ |
$44.62062303464621$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[56]$ |
$2$ |
0 |
$1$ |