| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Narrow class group |
Unit group torsion |
Unit group rank |
Regulator |
Unit signature rank |
Max $p$ |
| 2.0.399.1 |
$x^{2} - x + 100$ |
$2$ |
(0, 1) |
$-\,3\cdot 7\cdot 19$ |
$3$ |
$19.9749843554$ |
$19.974984355438178$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$19$ |
| 2.0.407.1 |
$x^{2} - x + 102$ |
$2$ |
(0, 1) |
$-\,11\cdot 37$ |
$2$ |
$20.1742410018$ |
$20.174241001832016$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$37$ |
| 2.0.471.1 |
$x^{2} - x + 118$ |
$2$ |
(0, 1) |
$-\,3\cdot 157$ |
$2$ |
$21.7025344142$ |
$21.702534414210707$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$157$ |
| 2.0.559.1 |
$x^{2} - x + 140$ |
$2$ |
(0, 1) |
$-\,13\cdot 43$ |
$2$ |
$23.6431808351$ |
$23.643180835073778$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$43$ |
| 2.0.584.1 |
$x^{2} + 146$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 73$ |
$2$ |
$24.1660919472$ |
$24.166091947189145$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$73$ |
| 2.0.644.1 |
$x^{2} + 161$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 7\cdot 23$ |
$3$ |
$25.3771550809$ |
$25.37715508089904$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$23$ |
| 2.0.663.1 |
$x^{2} - x + 166$ |
$2$ |
(0, 1) |
$-\,3\cdot 13\cdot 17$ |
$3$ |
$25.7487863792$ |
$25.748786379167466$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$17$ |
| 2.0.740.1 |
$x^{2} + 185$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 5\cdot 37$ |
$3$ |
$27.2029410175$ |
$27.202941017470888$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$37$ |
| 2.0.799.1 |
$x^{2} - x + 200$ |
$2$ |
(0, 1) |
$-\,17\cdot 47$ |
$2$ |
$28.2665880502$ |
$28.26658805020514$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$47$ |
| 2.0.884.1 |
$x^{2} + 221$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 13\cdot 17$ |
$3$ |
$29.7321374946$ |
$29.732137494637012$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$17$ |
| 2.0.895.1 |
$x^{2} - x + 224$ |
$2$ |
(0, 1) |
$-\,5\cdot 179$ |
$2$ |
$29.9165506033$ |
$29.916550603303182$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$179$ |
| 2.0.903.1 |
$x^{2} - x + 226$ |
$2$ |
(0, 1) |
$-\,3\cdot 7\cdot 43$ |
$3$ |
$30.0499584026$ |
$30.04995840263344$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$43$ |
| 2.0.943.1 |
$x^{2} - x + 236$ |
$2$ |
(0, 1) |
$-\,23\cdot 41$ |
$2$ |
$30.7083050656$ |
$30.708305065568176$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$41$ |
| 2.0.1015.1 |
$x^{2} - x + 254$ |
$2$ |
(0, 1) |
$-\,5\cdot 7\cdot 29$ |
$3$ |
$31.8590646441$ |
$31.85906464414798$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$29$ |
| 2.0.1016.1 |
$x^{2} + 254$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 127$ |
$2$ |
$31.874754901$ |
$31.874754901018456$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$127$ |
| 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) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$31$ |
| 2.0.1028.1 |
$x^{2} + 257$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 257$ |
$2$ |
$32.0624390838$ |
$32.0624390837628$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$257$ |
| 2.0.1047.1 |
$x^{2} - x + 262$ |
$2$ |
(0, 1) |
$-\,3\cdot 349$ |
$2$ |
$32.3573793747$ |
$32.357379374726875$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$349$ |
| 2.0.1139.1 |
$x^{2} - x + 285$ |
$2$ |
(0, 1) |
$-\,17\cdot 67$ |
$2$ |
$33.7490740614$ |
$33.74907406137241$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$67$ |
| 2.0.1140.1 |
$x^{2} + 285$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 5\cdot 19$ |
$4$ |
$33.7638860323$ |
$33.76388603226827$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 4]$ |
$[2, 2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$19$ |
| 2.0.1159.1 |
$x^{2} - x + 290$ |
$2$ |
(0, 1) |
$-\,19\cdot 61$ |
$2$ |
$34.0440890611$ |
$34.044089061098404$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$61$ |
| 2.0.1220.1 |
$x^{2} + 305$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 5\cdot 61$ |
$3$ |
$34.9284983931$ |
$34.92849839314596$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$61$ |
| 2.0.1379.1 |
$x^{2} - x + 345$ |
$2$ |
(0, 1) |
$-\,7\cdot 197$ |
$2$ |
$37.1348892553$ |
$37.134889255254286$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$197$ |
| 2.0.1412.1 |
$x^{2} + 353$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 353$ |
$2$ |
$37.5765884561$ |
$37.57658845611187$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$353$ |
| 2.0.1416.1 |
$x^{2} + 354$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 59$ |
$3$ |
$37.6297754445$ |
$37.62977544445356$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$59$ |
| 2.0.1508.1 |
$x^{2} + 377$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 13\cdot 29$ |
$3$ |
$38.8329756779$ |
$38.8329756778952$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$29$ |
| 2.0.1560.1 |
$x^{2} + 390$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 5\cdot 13$ |
$4$ |
$39.4968353163$ |
$39.496835316262995$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 4]$ |
$[2, 2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$13$ |
| 2.0.1595.1 |
$x^{2} - x + 399$ |
$2$ |
(0, 1) |
$-\,5\cdot 11\cdot 29$ |
$3$ |
$39.9374510954$ |
$39.93745109543172$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$29$ |
| 2.0.1608.1 |
$x^{2} + 402$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 67$ |
$3$ |
$40.0998753115$ |
$40.099875311526844$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$67$ |
| 2.0.1624.1 |
$x^{2} + 406$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 7\cdot 29$ |
$3$ |
$40.2988833592$ |
$40.29888335921977$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$29$ |
| 2.0.1636.1 |
$x^{2} + 409$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 409$ |
$2$ |
$40.4474968323$ |
$40.44749683231337$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$409$ |
| 2.0.1640.1 |
$x^{2} + 410$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 5\cdot 41$ |
$3$ |
$40.4969134626$ |
$40.496913462633174$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$41$ |
| 2.0.1716.1 |
$x^{2} + 429$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 11\cdot 13$ |
$4$ |
$41.4246303544$ |
$41.42463035441596$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 4]$ |
$[2, 2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$13$ |
| 2.0.1860.1 |
$x^{2} + 465$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 5\cdot 31$ |
$4$ |
$43.1277173057$ |
$43.12771730569565$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 4]$ |
$[2, 2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$31$ |
| 2.0.1876.1 |
$x^{2} + 469$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 7\cdot 67$ |
$3$ |
$43.3128156554$ |
$43.31281565541543$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$67$ |
| 2.0.1924.1 |
$x^{2} + 481$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 13\cdot 37$ |
$3$ |
$43.8634243989$ |
$43.86342439892262$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$37$ |
| 2.0.1983.1 |
$x^{2} - x + 496$ |
$2$ |
(0, 1) |
$-\,3\cdot 661$ |
$2$ |
$44.5308881564$ |
$44.53088815642464$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$661$ |
| 2.0.2004.1 |
$x^{2} + 501$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 167$ |
$3$ |
$44.7660585712$ |
$44.76605857119878$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$167$ |
| 2.0.2019.1 |
$x^{2} - x + 505$ |
$2$ |
(0, 1) |
$-\,3\cdot 673$ |
$2$ |
$44.9332838773$ |
$44.93328387732194$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$673$ |
| 2.0.2040.1 |
$x^{2} + 510$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 5\cdot 17$ |
$4$ |
$45.1663591625$ |
$45.16635916254486$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 4]$ |
$[2, 2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$17$ |
| 2.0.2056.1 |
$x^{2} + 514$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 257$ |
$2$ |
$45.343136195$ |
$45.34313619501854$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$257$ |
| 2.0.2072.1 |
$x^{2} + 518$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 7\cdot 37$ |
$3$ |
$45.519226707$ |
$45.51922670696417$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$37$ |
| 2.0.2095.1 |
$x^{2} - x + 524$ |
$2$ |
(0, 1) |
$-\,5\cdot 419$ |
$2$ |
$45.7711699654$ |
$45.77116996538323$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$419$ |
| 2.0.2195.1 |
$x^{2} - x + 549$ |
$2$ |
(0, 1) |
$-\,5\cdot 439$ |
$2$ |
$46.8508271005$ |
$46.850827100489916$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
$439$ |
| 2.0.2211.1 |
$x^{2} - x + 553$ |
$2$ |
(0, 1) |
$-\,3\cdot 11\cdot 67$ |
$3$ |
$47.021271782$ |
$47.02127178203499$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$67$ |
| 2.0.2244.1 |
$x^{2} + 561$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 11\cdot 17$ |
$4$ |
$47.3708771293$ |
$47.37087712930804$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 4]$ |
$[2, 2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$17$ |
| 2.0.2280.1 |
$x^{2} + 570$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 5\cdot 19$ |
$4$ |
$47.7493455453$ |
$47.74934554525329$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 4]$ |
$[2, 2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$19$ |
| 2.0.2292.1 |
$x^{2} + 573$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 191$ |
$3$ |
$47.8748368143$ |
$47.8748368143433$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$191$ |
| 2.0.2296.1 |
$x^{2} + 574$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 7\cdot 41$ |
$3$ |
$47.9165942028$ |
$47.916594202843754$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$41$ |
| 2.2.2305.1 |
$x^{2} - x - 576$ |
$2$ |
(2, 0) |
$5\cdot 461$ |
$2$ |
$48.0104155366$ |
$48.010415536631214$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
$1$ |
$4.56445668076$ |
$2$ |
$461$ |