| 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 |
| 2.0.39.1 |
$x^{2} - x + 10$ |
$2$ |
[0,1] |
$-\,3\cdot 13$ |
$2$ |
$6.2449979984$ |
$6.244997998398398$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
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) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.0.56.1 |
$x^{2} + 14$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 7$ |
$2$ |
$7.48331477355$ |
$7.483314773547883$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.0.68.1 |
$x^{2} + 17$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 17$ |
$2$ |
$8.24621125124$ |
$8.246211251235321$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.0.84.1 |
$x^{2} + 21$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 7$ |
$3$ |
$9.16515138991$ |
$9.16515138991168$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.0.120.1 |
$x^{2} + 30$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 5$ |
$3$ |
$10.9544511501$ |
$10.954451150103322$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 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 |
$1$ |
| 2.0.136.1 |
$x^{2} + 34$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 17$ |
$2$ |
$11.6619037897$ |
$11.661903789690601$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.2.145.1 |
$x^{2} - x - 36$ |
$2$ |
[2,0] |
$5\cdot 29$ |
$2$ |
$12.0415945788$ |
$12.041594578792296$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
$1$ |
$3.1797854377$ |
| 2.0.155.1 |
$x^{2} - x + 39$ |
$2$ |
[0,1] |
$-\,5\cdot 31$ |
$2$ |
$12.449899598$ |
$12.449899597988733$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 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 |
$1$ |
| 2.0.184.1 |
$x^{2} + 46$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 23$ |
$2$ |
$13.5646599663$ |
$13.564659966250536$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
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 |
$1$ |
| 2.0.203.1 |
$x^{2} - x + 51$ |
$2$ |
[0,1] |
$-\,7\cdot 29$ |
$2$ |
$14.2478068488$ |
$14.247806848775006$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.0.219.1 |
$x^{2} - x + 55$ |
$2$ |
[0,1] |
$-\,3\cdot 73$ |
$2$ |
$14.7986485869$ |
$14.798648586948742$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.0.228.1 |
$x^{2} + 57$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 19$ |
$3$ |
$15.0996688705$ |
$15.0996688705415$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.0.259.1 |
$x^{2} - x + 65$ |
$2$ |
[0,1] |
$-\,7\cdot 37$ |
$2$ |
$16.0934769394$ |
$16.09347693943108$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.0.280.1 |
$x^{2} + 70$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 7$ |
$3$ |
$16.7332005307$ |
$16.73320053068151$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.0.291.1 |
$x^{2} - x + 73$ |
$2$ |
[0,1] |
$-\,3\cdot 97$ |
$2$ |
$17.0587221092$ |
$17.05872210923198$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.0.292.1 |
$x^{2} + 73$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 73$ |
$2$ |
$17.0880074906$ |
$17.08800749063506$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 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 |
$1$ |
| 2.0.323.1 |
$x^{2} - x + 81$ |
$2$ |
[0,1] |
$-\,17\cdot 19$ |
$2$ |
$17.9722007556$ |
$17.97220075561143$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.0.328.1 |
$x^{2} + 82$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 41$ |
$2$ |
$18.1107702763$ |
$18.110770276274835$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.2.328.1 |
$x^{2} - 82$ |
$2$ |
[2,0] |
$2^{3}\cdot 41$ |
$2$ |
$18.1107702763$ |
$18.110770276274835$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
$1$ |
$2.89344398589$ |
| 2.0.340.1 |
$x^{2} + 85$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 17$ |
$3$ |
$18.4390889146$ |
$18.439088914585774$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.0.355.1 |
$x^{2} - x + 89$ |
$2$ |
[0,1] |
$-\,5\cdot 71$ |
$2$ |
$18.8414436814$ |
$18.841443681416774$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.0.372.1 |
$x^{2} + 93$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 31$ |
$3$ |
$19.287301522$ |
$19.28730152198591$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.0.388.1 |
$x^{2} + 97$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 97$ |
$2$ |
$19.6977156036$ |
$19.697715603592208$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.0.408.1 |
$x^{2} + 102$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 17$ |
$3$ |
$20.1990098767$ |
$20.199009876724155$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.0.435.1 |
$x^{2} - x + 109$ |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 29$ |
$3$ |
$20.8566536146$ |
$20.85665361461421$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.2.445.1 |
$x^{2} - x - 111$ |
$2$ |
[2,0] |
$5\cdot 89$ |
$2$ |
$21.0950231097$ |
$21.095023109728988$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
$1$ |
$3.04678233722$ |
| 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 |
$1$ |
| 2.2.505.1 |
$x^{2} - x - 126$ |
$2$ |
[2,0] |
$5\cdot 101$ |
$2$ |
$22.4722050542$ |
$22.47220505424423$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[8]$ |
$2$ |
$1$ |
$7.38894571564$ |
| 2.0.520.1 |
$x^{2} + 130$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 13$ |
$3$ |
$22.803508502$ |
$22.80350850198276$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.2.520.1 |
$x^{2} - 130$ |
$2$ |
[2,0] |
$2^{3}\cdot 5\cdot 13$ |
$3$ |
$22.803508502$ |
$22.80350850198276$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$4.73627538627$ |
| 2.0.532.1 |
$x^{2} + 133$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 7\cdot 19$ |
$3$ |
$23.0651251893$ |
$23.065125189341593$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 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 |
$1$ |
| 2.0.568.1 |
$x^{2} + 142$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 71$ |
$2$ |
$23.8327505756$ |
$23.83275057562597$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.0.595.1 |
$x^{2} - x + 149$ |
$2$ |
[0,1] |
$-\,5\cdot 7\cdot 17$ |
$3$ |
$24.3926218353$ |
$24.392621835300936$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 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 |
$1$ |
| 2.0.667.1 |
$x^{2} - x + 167$ |
$2$ |
[0,1] |
$-\,23\cdot 29$ |
$2$ |
$25.8263431403$ |
$25.826343140289914$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.2.680.1 |
$x^{2} - 170$ |
$2$ |
[2,0] |
$2^{3}\cdot 5\cdot 17$ |
$3$ |
$26.0768096208$ |
$26.076809620810597$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$3.25957255626$ |
| 2.2.689.1 |
$x^{2} - x - 172$ |
$2$ |
[2,0] |
$13\cdot 53$ |
$2$ |
$26.2488094968$ |
$26.248809496813376$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[8]$ |
$2$ |
$1$ |
$5.34708485421$ |
| 2.0.708.1 |
$x^{2} + 177$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 59$ |
$3$ |
$26.6082693913$ |
$26.60826939130014$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.0.715.1 |
$x^{2} - x + 179$ |
$2$ |
[0,1] |
$-\,5\cdot 11\cdot 13$ |
$3$ |
$26.7394839142$ |
$26.739483914241877$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.0.723.1 |
$x^{2} - x + 181$ |
$2$ |
[0,1] |
$-\,3\cdot 241$ |
$2$ |
$26.8886593195$ |
$26.888659319497503$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.0.760.1 |
$x^{2} + 190$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 19$ |
$3$ |
$27.5680975042$ |
$27.568097504180443$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
| 2.0.763.1 |
$x^{2} - x + 191$ |
$2$ |
[0,1] |
$-\,7\cdot 109$ |
$2$ |
$27.6224546339$ |
$27.622454633866266$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.0.772.1 |
$x^{2} + 193$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 193$ |
$2$ |
$27.7848879789$ |
$27.784887978899608$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.2.777.1 |
$x^{2} - x - 194$ |
$2$ |
[2,0] |
$3\cdot 7\cdot 37$ |
$3$ |
$27.8747197295$ |
$27.874719729532707$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[2, 4]$ |
$2$ |
$1$ |
$6.10031392473$ |
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