| 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 $p$ |
| 2.0.15.1 |
$x^{2} - x + 4$ |
$2$ |
(0, 1) |
$-\,3\cdot 5$ |
$2$ |
$3.87298334621$ |
$3.872983346207417$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
$0$ |
$5$ |
| 2.0.20.1 |
$x^{2} + 5$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 5$ |
$2$ |
$4.472135955$ |
$4.47213595499958$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
$0$ |
$5$ |
| 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 |
$1$ |
$0$ |
$3$ |
| 2.0.35.1 |
$x^{2} - x + 9$ |
$2$ |
(0, 1) |
$-\,5\cdot 7$ |
$2$ |
$5.9160797831$ |
$5.916079783099616$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
$0$ |
$7$ |
| 2.0.40.1 |
$x^{2} + 10$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 5$ |
$2$ |
$6.32455532034$ |
$6.324555320336759$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
$0$ |
$5$ |
| 2.2.40.1 |
$x^{2} - 10$ |
$2$ |
(2, 0) |
$2^{3}\cdot 5$ |
$2$ |
$6.32455532034$ |
$6.324555320336759$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$1.81844645923$ |
$2$ |
$5$ |
| 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 |
$1$ |
$0$ |
$17$ |
| 2.0.52.1 |
$x^{2} + 13$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 13$ |
$2$ |
$7.21110255093$ |
$7.211102550927978$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
$0$ |
$13$ |
| 2.2.60.1 |
$x^{2} - 15$ |
$2$ |
(2, 0) |
$2^{2}\cdot 3\cdot 5$ |
$3$ |
$7.74596669241$ |
$7.745966692414834$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$2.0634370689$ |
$1$ |
$5$ |
| 2.2.65.1 |
$x^{2} - x - 16$ |
$2$ |
(2, 0) |
$5\cdot 13$ |
$2$ |
$8.0622577483$ |
$8.06225774829855$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$2.77647228072$ |
$2$ |
$13$ |
| 2.2.85.1 |
$x^{2} - x - 21$ |
$2$ |
(2, 0) |
$5\cdot 17$ |
$2$ |
$9.21954445729$ |
$9.219544457292887$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$2.20934770862$ |
$2$ |
$17$ |
| 2.0.88.1 |
$x^{2} + 22$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 11$ |
$2$ |
$9.38083151965$ |
$9.38083151964686$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
$0$ |
$11$ |
| 2.0.91.1 |
$x^{2} - x + 23$ |
$2$ |
(0, 1) |
$-\,7\cdot 13$ |
$2$ |
$9.53939201417$ |
$9.539392014169456$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
$0$ |
$13$ |
| 2.2.104.1 |
$x^{2} - 26$ |
$2$ |
(2, 0) |
$2^{3}\cdot 13$ |
$2$ |
$10.1980390272$ |
$10.198039027185569$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$2.31243834127$ |
$2$ |
$13$ |
| 2.2.105.1 |
$x^{2} - x - 26$ |
$2$ |
(2, 0) |
$3\cdot 5\cdot 7$ |
$3$ |
$10.246950766$ |
$10.246950765959598$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$4.40657049308$ |
$1$ |
$7$ |
| 2.0.115.1 |
$x^{2} - x + 29$ |
$2$ |
(0, 1) |
$-\,5\cdot 23$ |
$2$ |
$10.7238052948$ |
$10.723805294763608$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
$0$ |
$23$ |
| 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) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$3.08896990484$ |
$1$ |
$5$ |
| 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 |
$1$ |
$0$ |
$41$ |
| 2.2.136.1 |
$x^{2} - 34$ |
$2$ |
(2, 0) |
$2^{3}\cdot 17$ |
$2$ |
$11.6619037897$ |
$11.661903789690601$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$4.24829109791$ |
$1$ |
$17$ |
| 2.2.140.1 |
$x^{2} - 35$ |
$2$ |
(2, 0) |
$2^{2}\cdot 5\cdot 7$ |
$3$ |
$11.8321595662$ |
$11.832159566199232$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$2.47788873029$ |
$1$ |
$7$ |
| 2.0.148.1 |
$x^{2} + 37$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 37$ |
$2$ |
$12.1655250606$ |
$12.165525060596439$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
$0$ |
$37$ |
| 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) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$3.91162276521$ |
$1$ |
$13$ |
| 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) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$2.55897897703$ |
$1$ |
$11$ |
| 2.2.168.1 |
$x^{2} - 42$ |
$2$ |
(2, 0) |
$2^{3}\cdot 3\cdot 7$ |
$3$ |
$12.9614813968$ |
$12.96148139681572$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$3.2566139548$ |
$1$ |
$7$ |
| 2.2.185.1 |
$x^{2} - x - 46$ |
$2$ |
(2, 0) |
$5\cdot 37$ |
$2$ |
$13.6014705087$ |
$13.601470508735444$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$4.9127089471$ |
$2$ |
$37$ |
| 2.0.187.1 |
$x^{2} - x + 47$ |
$2$ |
(0, 1) |
$-\,11\cdot 17$ |
$2$ |
$13.6747943312$ |
$13.674794331177344$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
$0$ |
$17$ |
| 2.2.204.1 |
$x^{2} - 51$ |
$2$ |
(2, 0) |
$2^{2}\cdot 3\cdot 17$ |
$3$ |
$14.2828568571$ |
$14.2828568570857$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$4.60507017098$ |
$1$ |
$17$ |
| 2.2.205.1 |
$x^{2} - x - 51$ |
$2$ |
(2, 0) |
$5\cdot 41$ |
$2$ |
$14.3178210633$ |
$14.317821063276353$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$3.76065884353$ |
$1$ |
$41$ |
| 2.2.220.1 |
$x^{2} - 55$ |
$2$ |
(2, 0) |
$2^{2}\cdot 5\cdot 11$ |
$3$ |
$14.8323969742$ |
$14.832396974191326$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$5.18175198713$ |
$1$ |
$11$ |
| 2.2.221.1 |
$x^{2} - x - 55$ |
$2$ |
(2, 0) |
$13\cdot 17$ |
$2$ |
$14.8660687473$ |
$14.866068747318506$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$2.70357583093$ |
$1$ |
$17$ |
| 2.0.232.1 |
$x^{2} + 58$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 29$ |
$2$ |
$15.2315462117$ |
$15.231546211727817$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
$0$ |
$29$ |
| 2.2.232.1 |
$x^{2} - 58$ |
$2$ |
(2, 0) |
$2^{3}\cdot 29$ |
$2$ |
$15.2315462117$ |
$15.231546211727817$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$5.28829253732$ |
$2$ |
$29$ |
| 2.0.235.1 |
$x^{2} - x + 59$ |
$2$ |
(0, 1) |
$-\,5\cdot 47$ |
$2$ |
$15.3297097168$ |
$15.329709716755891$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
$0$ |
$47$ |
| 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) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$4.86747527361$ |
$1$ |
$11$ |
| 2.2.265.1 |
$x^{2} - x - 66$ |
$2$ |
(2, 0) |
$5\cdot 53$ |
$2$ |
$16.2788205961$ |
$16.278820596099706$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$9.40459050642$ |
$2$ |
$53$ |
| 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 |
$1$ |
$0$ |
$89$ |
| 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) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$7.28207318508$ |
$1$ |
$13$ |
| 2.2.280.1 |
$x^{2} - 70$ |
$2$ |
(2, 0) |
$2^{3}\cdot 5\cdot 7$ |
$3$ |
$16.7332005307$ |
$16.73320053068151$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$6.21859615148$ |
$1$ |
$7$ |
| 2.2.285.1 |
$x^{2} - x - 71$ |
$2$ |
(2, 0) |
$3\cdot 5\cdot 19$ |
$3$ |
$16.8819430161$ |
$16.881943016134134$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$2.82973503752$ |
$1$ |
$19$ |
| 2.2.296.1 |
$x^{2} - 74$ |
$2$ |
(2, 0) |
$2^{3}\cdot 37$ |
$2$ |
$17.2046505341$ |
$17.204650534085253$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$4.45448247706$ |
$2$ |
$37$ |
| 2.2.305.1 |
$x^{2} - x - 76$ |
$2$ |
(2, 0) |
$5\cdot 61$ |
$2$ |
$17.4642491966$ |
$17.46424919657298$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$6.88550862454$ |
$1$ |
$61$ |
| 2.2.312.1 |
$x^{2} - 78$ |
$2$ |
(2, 0) |
$2^{3}\cdot 3\cdot 13$ |
$3$ |
$17.6635217327$ |
$17.663521732655695$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$4.66335008258$ |
$1$ |
$13$ |
| 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) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$9.51207326218$ |
$1$ |
$23$ |
| 2.2.348.1 |
$x^{2} - 87$ |
$2$ |
(2, 0) |
$2^{2}\cdot 3\cdot 29$ |
$3$ |
$18.6547581062$ |
$18.65475810617763$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$4.02503266055$ |
$1$ |
$29$ |
| 2.2.357.1 |
$x^{2} - x - 89$ |
$2$ |
(2, 0) |
$3\cdot 7\cdot 17$ |
$3$ |
$18.8944436277$ |
$18.894443627691185$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$2.94165731465$ |
$1$ |
$17$ |
| 2.2.364.1 |
$x^{2} - 91$ |
$2$ |
(2, 0) |
$2^{2}\cdot 7\cdot 13$ |
$3$ |
$19.0787840283$ |
$19.078784028338912$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$8.05452250863$ |
$1$ |
$13$ |
| 2.2.365.1 |
$x^{2} - x - 91$ |
$2$ |
(2, 0) |
$5\cdot 73$ |
$2$ |
$19.1049731745$ |
$19.1049731745428$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$2.94719762257$ |
$2$ |
$73$ |
| 2.2.377.1 |
$x^{2} - x - 94$ |
$2$ |
(2, 0) |
$13\cdot 29$ |
$2$ |
$19.4164878389$ |
$19.4164878389476$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$6.14418102911$ |
$1$ |
$29$ |
| 2.2.380.1 |
$x^{2} - 95$ |
$2$ |
(2, 0) |
$2^{2}\cdot 5\cdot 19$ |
$3$ |
$19.4935886896$ |
$19.493588689617926$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$4.3565444206$ |
$1$ |
$19$ |
| 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) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$12.163488683$ |
$1$ |
$11$ |
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