| 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 $p$ |
| 2.0.95.1 |
$x^{2} - x + 24$ |
$2$ |
(0, 1) |
$-\,5\cdot 19$ |
$2$ |
$9.74679434481$ |
$9.746794344808963$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$19$ |
| 2.0.111.1 |
$x^{2} - x + 28$ |
$2$ |
(0, 1) |
$-\,3\cdot 37$ |
$2$ |
$10.5356537529$ |
$10.535653752852738$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$37$ |
| 2.0.164.1 |
$x^{2} + 41$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 41$ |
$2$ |
$12.8062484749$ |
$12.806248474865697$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$41$ |
| 2.0.183.1 |
$x^{2} - x + 46$ |
$2$ |
(0, 1) |
$-\,3\cdot 61$ |
$2$ |
$13.5277492585$ |
$13.527749258468683$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$61$ |
| 2.0.248.1 |
$x^{2} + 62$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 31$ |
$2$ |
$15.748015748$ |
$15.748015748023622$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$31$ |
| 2.0.260.1 |
$x^{2} + 65$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 5\cdot 13$ |
$3$ |
$16.1245154966$ |
$16.1245154965971$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$13$ |
| 2.0.264.1 |
$x^{2} + 66$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 11$ |
$3$ |
$16.2480768093$ |
$16.24807680927192$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$11$ |
| 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 |
$1$ |
$0$ |
$23$ |
| 2.0.295.1 |
$x^{2} - x + 74$ |
$2$ |
(0, 1) |
$-\,5\cdot 59$ |
$2$ |
$17.1755640373$ |
$17.175564037317667$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$59$ |
| 2.0.299.1 |
$x^{2} - x + 75$ |
$2$ |
(0, 1) |
$-\,13\cdot 23$ |
$2$ |
$17.2916164658$ |
$17.291616465790582$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$23$ |
| 2.0.308.1 |
$x^{2} + 77$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 7\cdot 11$ |
$3$ |
$17.5499287748$ |
$17.549928774784245$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$11$ |
| 2.0.371.1 |
$x^{2} - x + 93$ |
$2$ |
(0, 1) |
$-\,7\cdot 53$ |
$2$ |
$19.2613602843$ |
$19.261360284258224$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$53$ |
| 2.0.376.1 |
$x^{2} + 94$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 47$ |
$2$ |
$19.3907194297$ |
$19.390719429665317$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$47$ |
| 2.0.395.1 |
$x^{2} - x + 99$ |
$2$ |
(0, 1) |
$-\,5\cdot 79$ |
$2$ |
$19.8746069144$ |
$19.87460691435179$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$79$ |
| 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 |
$1$ |
$0$ |
$7$ |
| 2.0.452.1 |
$x^{2} + 113$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 113$ |
$2$ |
$21.2602916255$ |
$21.2602916254693$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$113$ |
| 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 |
$1$ |
$0$ |
$19$ |
| 2.0.548.1 |
$x^{2} + 137$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 137$ |
$2$ |
$23.4093998214$ |
$23.40939982143925$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$137$ |
| 2.0.552.1 |
$x^{2} + 138$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 23$ |
$3$ |
$23.4946802489$ |
$23.49468024894146$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$23$ |
| 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 |
$1$ |
$0$ |
$47$ |
| 2.0.579.1 |
$x^{2} - x + 145$ |
$2$ |
(0, 1) |
$-\,3\cdot 193$ |
$2$ |
$24.062418831$ |
$24.06241883103193$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$193$ |
| 2.0.580.1 |
$x^{2} + 145$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 5\cdot 29$ |
$3$ |
$24.0831891576$ |
$24.08318915758459$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$29$ |
| 2.0.583.1 |
$x^{2} - x + 146$ |
$2$ |
(0, 1) |
$-\,11\cdot 53$ |
$2$ |
$24.1453929353$ |
$24.145392935299274$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$53$ |
| 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) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$11$ |
| 2.0.632.1 |
$x^{2} + 158$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 79$ |
$2$ |
$25.13961018$ |
$25.13961017995307$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$79$ |
| 2.0.651.1 |
$x^{2} - x + 163$ |
$2$ |
(0, 1) |
$-\,3\cdot 7\cdot 31$ |
$3$ |
$25.5147016443$ |
$25.514701644346147$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$31$ |
| 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) |
$[2, 2, 2]$ |
$[2, 2, 2]$ |
$2$ |
0 |
$1$ |
$0$ |
$11$ |
| 2.0.712.1 |
$x^{2} + 178$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 89$ |
$2$ |
$26.6833281283$ |
$26.68332812825267$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$89$ |
| 2.0.820.1 |
$x^{2} + 205$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 5\cdot 41$ |
$3$ |
$28.6356421266$ |
$28.635642126552707$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$41$ |
| 2.0.840.1 |
$x^{2} + 210$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 5\cdot 7$ |
$4$ |
$28.9827534924$ |
$28.982753492378876$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 2]$ |
$[2, 2, 2]$ |
$2$ |
0 |
$1$ |
$0$ |
$7$ |
| 2.0.852.1 |
$x^{2} + 213$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 71$ |
$3$ |
$29.1890390387$ |
$29.189039038652847$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$71$ |
| 2.0.868.1 |
$x^{2} + 217$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 7\cdot 31$ |
$3$ |
$29.4618397253$ |
$29.46183972531247$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$31$ |
| 2.0.904.1 |
$x^{2} + 226$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 113$ |
$2$ |
$30.0665927567$ |
$30.066592756745816$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$113$ |
| 2.2.904.1 |
$x^{2} - 226$ |
$2$ |
(2, 0) |
$2^{3}\cdot 113$ |
$2$ |
$30.0665927567$ |
$30.066592756745816$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
$1$ |
$3.40230664548$ |
$2$ |
$113$ |
| 2.0.915.1 |
$x^{2} - x + 229$ |
$2$ |
(0, 1) |
$-\,3\cdot 5\cdot 61$ |
$3$ |
$30.2489669245$ |
$30.24896692450835$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$61$ |
| 2.0.939.1 |
$x^{2} - x + 235$ |
$2$ |
(0, 1) |
$-\,3\cdot 313$ |
$2$ |
$30.6431068921$ |
$30.643106892089126$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$313$ |
| 2.0.952.1 |
$x^{2} + 238$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 7\cdot 17$ |
$3$ |
$30.8544972411$ |
$30.854497241083024$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$17$ |
| 2.0.979.1 |
$x^{2} - x + 245$ |
$2$ |
(0, 1) |
$-\,11\cdot 89$ |
$2$ |
$31.2889756943$ |
$31.28897569432403$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$89$ |
| 2.0.987.1 |
$x^{2} - x + 247$ |
$2$ |
(0, 1) |
$-\,3\cdot 7\cdot 47$ |
$3$ |
$31.4165561448$ |
$31.416556144810016$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$47$ |
| 2.0.995.1 |
$x^{2} - x + 249$ |
$2$ |
(0, 1) |
$-\,5\cdot 199$ |
$2$ |
$31.5436205912$ |
$31.54362059117501$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$199$ |
| 2.0.1032.1 |
$x^{2} + 258$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 43$ |
$3$ |
$32.1247568084$ |
$32.12475680841802$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$43$ |
| 2.0.1043.1 |
$x^{2} - x + 261$ |
$2$ |
(0, 1) |
$-\,7\cdot 149$ |
$2$ |
$32.2955105239$ |
$32.29551052391029$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$149$ |
| 2.0.1060.1 |
$x^{2} + 265$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 5\cdot 53$ |
$3$ |
$32.5576411922$ |
$32.55764119219941$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$53$ |
| 2.0.1092.1 |
$x^{2} + 273$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 7\cdot 13$ |
$4$ |
$33.0454232837$ |
$33.04542328371661$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 2]$ |
$[2, 2, 2]$ |
$2$ |
0 |
$1$ |
$0$ |
$13$ |
| 2.0.1128.1 |
$x^{2} + 282$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 47$ |
$3$ |
$33.5857112475$ |
$33.58571124749333$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$47$ |
| 2.0.1131.1 |
$x^{2} - x + 283$ |
$2$ |
(0, 1) |
$-\,3\cdot 13\cdot 29$ |
$3$ |
$33.6303434416$ |
$33.63034344160047$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$29$ |
| 2.0.1155.1 |
$x^{2} - x + 289$ |
$2$ |
(0, 1) |
$-\,3\cdot 5\cdot 7\cdot 11$ |
$4$ |
$33.9852909359$ |
$33.98529093593286$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 2]$ |
$[2, 2, 2]$ |
$2$ |
0 |
$1$ |
$0$ |
$11$ |
| 2.0.1195.1 |
$x^{2} - x + 299$ |
$2$ |
(0, 1) |
$-\,5\cdot 239$ |
$2$ |
$34.5687720349$ |
$34.56877203488721$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$239$ |
| 2.0.1204.1 |
$x^{2} + 301$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 7\cdot 43$ |
$3$ |
$34.6987031458$ |
$34.698703145794944$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$43$ |
| 2.0.1240.1 |
$x^{2} + 310$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 5\cdot 31$ |
$3$ |
$35.2136337233$ |
$35.21363372331802$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$31$ |