| 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 |
| 2.2.12.1 |
$x^{2} - 3$ |
$2$ |
(2, 0) |
$2^{2}\cdot 3$ |
$2$ |
$3.46410161514$ |
$3.4641016151377544$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$1.31695789692$ |
| 2.0.15.1 |
$x^{2} - x + 4$ |
$2$ |
(0, 1) |
$-\,3\cdot 5$ |
$2$ |
$3.87298334621$ |
$3.872983346207417$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
| 2.2.21.1 |
$x^{2} - x - 5$ |
$2$ |
(2, 0) |
$3\cdot 7$ |
$2$ |
$4.58257569496$ |
$4.58257569495584$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$1.56679923697$ |
| 2.0.24.1 |
$x^{2} + 6$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3$ |
$2$ |
$4.89897948557$ |
$4.898979485566356$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
| 2.0.51.1 |
$x^{2} - x + 13$ |
$2$ |
(0, 1) |
$-\,3\cdot 17$ |
$2$ |
$7.14142842854$ |
$7.14142842854285$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
| 2.2.57.1 |
$x^{2} - x - 14$ |
$2$ |
(2, 0) |
$3\cdot 19$ |
$2$ |
$7.54983443527$ |
$7.54983443527075$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$5.71041605276$ |
| 2.0.87.1 |
$x^{2} - x + 22$ |
$2$ |
(0, 1) |
$-\,3\cdot 29$ |
$2$ |
$9.32737905309$ |
$9.327379053088816$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.2.93.1 |
$x^{2} - x - 23$ |
$2$ |
(2, 0) |
$3\cdot 31$ |
$2$ |
$9.64365076099$ |
$9.643650760992955$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$3.36610464293$ |
| 2.2.120.1 |
$x^{2} - 30$ |
$2$ |
(2, 0) |
$2^{3}\cdot 3\cdot 5$ |
$3$ |
$10.9544511501$ |
$10.954451150103322$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$3.08896990484$ |
| 2.0.123.1 |
$x^{2} - x + 31$ |
$2$ |
(0, 1) |
$-\,3\cdot 41$ |
$2$ |
$11.0905365064$ |
$11.090536506409418$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
| 2.2.129.1 |
$x^{2} - x - 32$ |
$2$ |
(2, 0) |
$3\cdot 43$ |
$2$ |
$11.3578166916$ |
$11.357816691600547$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$10.4255498073$ |
| 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) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.2.156.1 |
$x^{2} - 39$ |
$2$ |
(2, 0) |
$2^{2}\cdot 3\cdot 13$ |
$3$ |
$12.4899959968$ |
$12.489995996796797$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$3.91162276521$ |
| 2.0.159.1 |
$x^{2} - x + 40$ |
$2$ |
(0, 1) |
$-\,3\cdot 53$ |
$2$ |
$12.6095202129$ |
$12.609520212918492$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$[10]$ |
$2$ |
0 |
$1$ |
| 2.2.165.1 |
$x^{2} - x - 41$ |
$2$ |
(2, 0) |
$3\cdot 5\cdot 11$ |
$3$ |
$12.8452325787$ |
$12.84523257866513$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$2.55897897703$ |
| 2.0.168.1 |
$x^{2} + 42$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 7$ |
$3$ |
$12.9614813968$ |
$12.96148139681572$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.0.195.1 |
$x^{2} - x + 49$ |
$2$ |
(0, 1) |
$-\,3\cdot 5\cdot 13$ |
$3$ |
$13.9642400438$ |
$13.96424004376894$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.2.201.1 |
$x^{2} - x - 50$ |
$2$ |
(2, 0) |
$3\cdot 67$ |
$2$ |
$14.1774468788$ |
$14.177446878757825$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$13.8452538092$ |
| 2.0.231.1 |
$x^{2} - x + 58$ |
$2$ |
(0, 1) |
$-\,3\cdot 7\cdot 11$ |
$3$ |
$15.1986841536$ |
$15.198684153570664$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
| 2.2.237.1 |
$x^{2} - x - 59$ |
$2$ |
(2, 0) |
$3\cdot 79$ |
$2$ |
$15.3948043183$ |
$15.394804318340652$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$4.34363671666$ |
| 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) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$4.86747527361$ |
| 2.0.267.1 |
$x^{2} - x + 67$ |
$2$ |
(0, 1) |
$-\,3\cdot 89$ |
$2$ |
$16.3401346384$ |
$16.34013463836819$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
| 2.2.273.1 |
$x^{2} - x - 68$ |
$2$ |
(2, 0) |
$3\cdot 7\cdot 13$ |
$3$ |
$16.5227116419$ |
$16.522711641858304$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$7.28207318508$ |
| 2.0.276.1 |
$x^{2} + 69$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 23$ |
$3$ |
$16.6132477258$ |
$16.61324772583615$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
| 2.0.303.1 |
$x^{2} - x + 76$ |
$2$ |
(0, 1) |
$-\,3\cdot 101$ |
$2$ |
$17.4068951855$ |
$17.406895185529212$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$[10]$ |
$2$ |
0 |
$1$ |
| 2.2.309.1 |
$x^{2} - x - 77$ |
$2$ |
(2, 0) |
$3\cdot 103$ |
$2$ |
$17.5783958312$ |
$17.578395831246947$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$8.5261528935$ |
| 2.0.312.1 |
$x^{2} + 78$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 13$ |
$3$ |
$17.6635217327$ |
$17.663521732655695$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.0.339.1 |
$x^{2} - x + 85$ |
$2$ |
(0, 1) |
$-\,3\cdot 113$ |
$2$ |
$18.4119526395$ |
$18.411952639521967$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.2.345.1 |
$x^{2} - x - 86$ |
$2$ |
(2, 0) |
$3\cdot 5\cdot 23$ |
$3$ |
$18.574175621$ |
$18.57417562100671$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$9.51207326218$ |
| 2.2.381.1 |
$x^{2} - x - 95$ |
$2$ |
(2, 0) |
$3\cdot 127$ |
$2$ |
$19.5192212959$ |
$19.519221295943137$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$7.61579082937$ |
| 2.2.408.1 |
$x^{2} - 102$ |
$2$ |
(2, 0) |
$2^{3}\cdot 3\cdot 17$ |
$3$ |
$20.1990098767$ |
$20.199009876724155$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$5.3082431891$ |
| 2.0.411.1 |
$x^{2} - x + 103$ |
$2$ |
(0, 1) |
$-\,3\cdot 137$ |
$2$ |
$20.2731349327$ |
$20.273134932713294$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.2.417.1 |
$x^{2} - x - 104$ |
$2$ |
(2, 0) |
$3\cdot 139$ |
$2$ |
$20.4205778567$ |
$20.42057785666214$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$18.955097656$ |
| 2.0.420.1 |
$x^{2} + 105$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 5\cdot 7$ |
$4$ |
$20.4939015319$ |
$20.493901531919196$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 2]$ |
$[2, 2, 2]$ |
$2$ |
0 |
$1$ |
| 2.2.444.1 |
$x^{2} - 111$ |
$2$ |
(2, 0) |
$2^{2}\cdot 3\cdot 37$ |
$3$ |
$21.0713075057$ |
$21.071307505705477$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$6.38011966415$ |
| 2.0.447.1 |
$x^{2} - x + 112$ |
$2$ |
(0, 1) |
$-\,3\cdot 149$ |
$2$ |
$21.1423745119$ |
$21.142374511865974$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[14]$ |
$[14]$ |
$2$ |
0 |
$1$ |
| 2.2.453.1 |
$x^{2} - x - 113$ |
$2$ |
(2, 0) |
$3\cdot 151$ |
$2$ |
$21.2837966538$ |
$21.283796653792763$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$5.00390125989$ |
| 2.0.456.1 |
$x^{2} + 114$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 19$ |
$3$ |
$21.3541565041$ |
$21.354156504062622$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
| 2.0.483.1 |
$x^{2} - x + 121$ |
$2$ |
(0, 1) |
$-\,3\cdot 7\cdot 23$ |
$3$ |
$21.9772609758$ |
$21.97726097583591$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.2.489.1 |
$x^{2} - x - 122$ |
$2$ |
(2, 0) |
$3\cdot 163$ |
$2$ |
$22.1133443875$ |
$22.11334438749598$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$23.4435910542$ |
| 2.0.519.1 |
$x^{2} - x + 130$ |
$2$ |
(0, 1) |
$-\,3\cdot 173$ |
$2$ |
$22.7815714998$ |
$22.781571499789035$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[18]$ |
$[18]$ |
$2$ |
0 |
$1$ |
| 2.2.552.1 |
$x^{2} - 138$ |
$2$ |
(2, 0) |
$2^{3}\cdot 3\cdot 23$ |
$3$ |
$23.4946802489$ |
$23.49468024894146$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$4.54318158967$ |
| 2.0.555.1 |
$x^{2} - x + 139$ |
$2$ |
(0, 1) |
$-\,3\cdot 5\cdot 37$ |
$3$ |
$23.5584379788$ |
$23.558437978779494$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 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) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$13.8600727492$ |
| 2.0.564.1 |
$x^{2} + 141$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 47$ |
$3$ |
$23.7486841741$ |
$23.748684174075834$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
| 2.0.591.1 |
$x^{2} - x + 148$ |
$2$ |
(0, 1) |
$-\,3\cdot 197$ |
$2$ |
$24.3104915623$ |
$24.310491562286437$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[22]$ |
$[22]$ |
$2$ |
0 |
$1$ |
| 2.2.597.1 |
$x^{2} - x - 149$ |
$2$ |
(2, 0) |
$3\cdot 199$ |
$2$ |
$24.4335834457$ |
$24.43358344574123$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$9.18491998411$ |
| 2.0.627.1 |
$x^{2} - x + 157$ |
$2$ |
(0, 1) |
$-\,3\cdot 11\cdot 19$ |
$3$ |
$25.0399680511$ |
$25.03996805109783$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.2.633.1 |
$x^{2} - x - 158$ |
$2$ |
(2, 0) |
$3\cdot 211$ |
$2$ |
$25.1594912508$ |
$25.15949125081825$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$20.5971860339$ |
| 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 |
$1$ |
