| 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 |
| 2.0.15.1 |
$x^{2} - x + 4$ |
$2$ |
[0,1] |
$-\,3\cdot 5$ |
$2$ |
$3.87298334621$ |
$3.872983346207417$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
| 2.0.20.1 |
$x^{2} + 5$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5$ |
$2$ |
$4.472135955$ |
$4.47213595499958$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
| 2.0.23.1 |
$x^{2} - x + 6$ |
$2$ |
[0,1] |
$-\,23$ |
$1$ |
$4.79583152331$ |
$4.795831523312719$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$[3]$ |
$2$ |
0 |
$1$ |
| 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 |
$1$ |
| 2.0.31.1 |
$x^{2} - x + 8$ |
$2$ |
[0,1] |
$-\,31$ |
$1$ |
$5.56776436283$ |
$5.5677643628300215$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$[3]$ |
$2$ |
0 |
$1$ |
| 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 |
$1$ |
| 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 |
$1$ |
| 2.0.40.1 |
$x^{2} + 10$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5$ |
$2$ |
$6.32455532034$ |
$6.324555320336759$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
| 2.2.40.1 |
$x^{2} - 10$ |
$2$ |
[2,0] |
$2^{3}\cdot 5$ |
$2$ |
$6.32455532034$ |
$6.324555320336759$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$1.81844645923$ |
| 2.0.47.1 |
$x^{2} - x + 12$ |
$2$ |
[0,1] |
$-\,47$ |
$1$ |
$6.8556546004$ |
$6.855654600401044$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[5]$ |
$[5]$ |
$2$ |
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 |
$1$ |
| 2.0.52.1 |
$x^{2} + 13$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 13$ |
$2$ |
$7.21110255093$ |
$7.211102550927978$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
| 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 |
$1$ |
| 2.0.59.1 |
$x^{2} - x + 15$ |
$2$ |
[0,1] |
$-\,59$ |
$1$ |
$7.68114574787$ |
$7.681145747868608$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$[3]$ |
$2$ |
0 |
$1$ |
| 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) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$2.0634370689$ |
| 2.2.65.1 |
$x^{2} - x - 16$ |
$2$ |
[2,0] |
$5\cdot 13$ |
$2$ |
$8.0622577483$ |
$8.06225774829855$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$2.77647228072$ |
| 2.0.68.1 |
$x^{2} + 17$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 17$ |
$2$ |
$8.24621125124$ |
$8.246211251235321$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.0.71.1 |
$x^{2} - x + 18$ |
$2$ |
[0,1] |
$-\,71$ |
$1$ |
$8.42614977318$ |
$8.426149773176359$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[7]$ |
$[7]$ |
$2$ |
0 |
$1$ |
| 2.0.79.1 |
$x^{2} - x + 20$ |
$2$ |
[0,1] |
$-\,79$ |
$1$ |
$8.88819441732$ |
$8.888194417315589$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[5]$ |
$[5]$ |
$2$ |
0 |
$1$ |
| 2.0.83.1 |
$x^{2} - x + 21$ |
$2$ |
[0,1] |
$-\,83$ |
$1$ |
$9.11043357914$ |
$9.1104335791443$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$[3]$ |
$2$ |
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 |
$1$ |
| 2.2.85.1 |
$x^{2} - x - 21$ |
$2$ |
[2,0] |
$5\cdot 17$ |
$2$ |
$9.21954445729$ |
$9.219544457292887$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$2.20934770862$ |
| 2.0.87.1 |
$x^{2} - x + 22$ |
$2$ |
[0,1] |
$-\,3\cdot 29$ |
$2$ |
$9.32737905309$ |
$9.327379053088816$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.88.1 |
$x^{2} + 22$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 11$ |
$2$ |
$9.38083151965$ |
$9.38083151964686$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
| 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 |
$1$ |
| 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 |
$1$ |
| 2.0.103.1 |
$x^{2} - x + 26$ |
$2$ |
[0,1] |
$-\,103$ |
$1$ |
$10.1488915651$ |
$10.14889156509222$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[5]$ |
$[5]$ |
$2$ |
0 |
$1$ |
| 2.0.104.1 |
$x^{2} + 26$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 13$ |
$2$ |
$10.1980390272$ |
$10.198039027185569$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.2.104.1 |
$x^{2} - 26$ |
$2$ |
[2,0] |
$2^{3}\cdot 13$ |
$2$ |
$10.1980390272$ |
$10.198039027185569$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$2.31243834127$ |
| 2.2.105.1 |
$x^{2} - x - 26$ |
$2$ |
[2,0] |
$3\cdot 5\cdot 7$ |
$3$ |
$10.246950766$ |
$10.246950765959598$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$4.40657049308$ |
| 2.0.107.1 |
$x^{2} - x + 27$ |
$2$ |
[0,1] |
$-\,107$ |
$1$ |
$10.3440804328$ |
$10.344080432788601$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$[3]$ |
$2$ |
0 |
$1$ |
| 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 |
$1$ |
| 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 |
$1$ |
| 2.0.116.1 |
$x^{2} + 29$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 29$ |
$2$ |
$10.7703296143$ |
$10.770329614269007$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.119.1 |
$x^{2} - x + 30$ |
$2$ |
[0,1] |
$-\,7\cdot 17$ |
$2$ |
$10.9087121146$ |
$10.908712114635714$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$[10]$ |
$2$ |
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 |
$1$ |
| 2.2.120.1 |
$x^{2} - 30$ |
$2$ |
[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 |
$1$ |
| 2.0.127.1 |
$x^{2} - x + 32$ |
$2$ |
[0,1] |
$-\,127$ |
$1$ |
$11.2694276696$ |
$11.269427669584644$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[5]$ |
$[5]$ |
$2$ |
0 |
$1$ |
| 2.0.131.1 |
$x^{2} - x + 33$ |
$2$ |
[0,1] |
$-\,131$ |
$1$ |
$11.4455231423$ |
$11.445523142259598$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[5]$ |
$[5]$ |
$2$ |
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 |
$1$ |
| 2.2.136.1 |
$x^{2} - 34$ |
$2$ |
[2,0] |
$2^{3}\cdot 17$ |
$2$ |
$11.6619037897$ |
$11.661903789690601$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$4.24829109791$ |
| 2.0.139.1 |
$x^{2} - x + 35$ |
$2$ |
[0,1] |
$-\,139$ |
$1$ |
$11.7898261226$ |
$11.789826122551595$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$[3]$ |
$2$ |
0 |
$1$ |
| 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) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$2.47788873029$ |
| 2.0.143.1 |
$x^{2} - x + 36$ |
$2$ |
[0,1] |
$-\,11\cdot 13$ |
$2$ |
$11.9582607431$ |
$11.958260743101398$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$[10]$ |
$2$ |
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) |
$[4]$ |
$[4]$ |
$2$ |
$1$ |
$3.1797854377$ |
| 2.0.148.1 |
$x^{2} + 37$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 37$ |
$2$ |
$12.1655250606$ |
$12.165525060596439$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
0 |
$1$ |
| 2.0.151.1 |
$x^{2} - x + 38$ |
$2$ |
[0,1] |
$-\,151$ |
$1$ |
$12.2882057274$ |
$12.288205727444508$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[7]$ |
$[7]$ |
$2$ |
0 |
$1$ |
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