| 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 |
| 2.2.137.1 |
$x^{2} - x - 34$ |
$2$ |
[2,0] |
$137$ |
$1$ |
$11.7046999107$ |
$11.704699910719626$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
trivial |
$2$ |
$1$ |
$8.15708386722$ |
| 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 |
$1$ |
| 2.0.959.1 |
$x^{2} - x + 240$ |
$2$ |
[0,1] |
$-\,7\cdot 137$ |
$2$ |
$30.9677251344$ |
$30.967725134404045$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[36]$ |
$[36]$ |
$2$ |
0 |
$1$ |
| 2.0.1096.1 |
$x^{2} + 274$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 137$ |
$2$ |
$33.1058907145$ |
$33.1058907144937$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
| 2.2.1096.1 |
$x^{2} - 274$ |
$2$ |
[2,0] |
$2^{3}\cdot 137$ |
$2$ |
$33.1058907145$ |
$33.1058907144937$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
$1$ |
$7.94236236396$ |
| 2.0.1507.1 |
$x^{2} - x + 377$ |
$2$ |
[0,1] |
$-\,11\cdot 137$ |
$2$ |
$38.8200978876$ |
$38.82009788756334$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
| 2.0.2055.1 |
$x^{2} - x + 514$ |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 137$ |
$3$ |
$45.3321078266$ |
$45.332107826572546$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$[2, 14]$ |
$2$ |
0 |
$1$ |
| 2.2.2329.1 |
$x^{2} - x - 582$ |
$2$ |
[2,0] |
$17\cdot 137$ |
$2$ |
$48.2597140481$ |
$48.25971404805462$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$35.2998666098$ |
| 2.0.2603.1 |
$x^{2} - x + 651$ |
$2$ |
[0,1] |
$-\,19\cdot 137$ |
$2$ |
$51.0196040753$ |
$51.01960407529639$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[20]$ |
$[20]$ |
$2$ |
0 |
$1$ |
| 2.2.3836.1 |
$x^{2} - 959$ |
$2$ |
[2,0] |
$2^{2}\cdot 7\cdot 137$ |
$3$ |
$61.9354502688$ |
$61.93545026880809$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[2, 4]$ |
$2$ |
$1$ |
$7.56008019375$ |
| 2.2.5069.1 |
$x^{2} - x - 1267$ |
$2$ |
[2,0] |
$37\cdot 137$ |
$2$ |
$71.1969100453$ |
$71.19691004531025$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$14.6855856088$ |
| 2.0.5343.1 |
$x^{2} - x + 1336$ |
$2$ |
[0,1] |
$-\,3\cdot 13\cdot 137$ |
$3$ |
$73.0958275143$ |
$73.09582751429797$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 18]$ |
$[2, 18]$ |
$2$ |
0 |
$1$ |
| 2.2.6028.1 |
$x^{2} - 1507$ |
$2$ |
[2,0] |
$2^{2}\cdot 11\cdot 137$ |
$3$ |
$77.6401957751$ |
$77.64019577512668$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[2, 4]$ |
$2$ |
$1$ |
$16.0966223408$ |
| 2.0.7672.1 |
$x^{2} + 1918$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 7\cdot 137$ |
$3$ |
$87.5899537618$ |
$87.58995376183276$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4, 4]$ |
$[4, 4]$ |
$2$ |
0 |
$1$ |
| 2.2.7672.1 |
$x^{2} - 1918$ |
$2$ |
[2,0] |
$2^{3}\cdot 7\cdot 137$ |
$3$ |
$87.5899537618$ |
$87.58995376183276$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[2, 4]$ |
$2$ |
$1$ |
$13.6333961797$ |
| 2.0.8083.1 |
$x^{2} - x + 2021$ |
$2$ |
[0,1] |
$-\,59\cdot 137$ |
$2$ |
$89.9055059493$ |
$89.90550594930212$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
| 2.2.8220.1 |
$x^{2} - 2055$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 5\cdot 137$ |
$4$ |
$90.6642156531$ |
$90.66421565314509$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 2, 6]$ |
$2$ |
$1$ |
$5.60578854959$ |
| 2.2.8357.1 |
$x^{2} - x - 2089$ |
$2$ |
[2,0] |
$61\cdot 137$ |
$2$ |
$91.4166286843$ |
$91.4166286842826$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$7.69348143309$ |
| 2.2.8905.1 |
$x^{2} - x - 2226$ |
$2$ |
[2,0] |
$5\cdot 13\cdot 137$ |
$3$ |
$94.3663075467$ |
$94.36630754670864$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
$1$ |
$12.1688690966$ |
| 2.0.9316.1 |
$x^{2} + 2329$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 17\cdot 137$ |
$3$ |
$96.5194280961$ |
$96.51942809610924$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4, 8]$ |
$[4, 8]$ |
$2$ |
0 |
$1$ |
| 2.2.9453.1 |
$x^{2} - x - 2363$ |
$2$ |
[2,0] |
$3\cdot 23\cdot 137$ |
$3$ |
$97.2265395867$ |
$97.2265395866787$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$12.4883677342$ |
| 2.2.10001.1 |
$x^{2} - x - 2500$ |
$2$ |
[2,0] |
$73\cdot 137$ |
$2$ |
$100.004999875$ |
$100.00499987500625$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
$1$ |
$5.29834236561$ |
| 2.2.10412.1 |
$x^{2} - 2603$ |
$2$ |
[2,0] |
$2^{2}\cdot 19\cdot 137$ |
$3$ |
$102.039208151$ |
$102.03920815059278$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[2, 4]$ |
$2$ |
$1$ |
$8.55718280271$ |
| 2.2.10549.1 |
$x^{2} - x - 2637$ |
$2$ |
[2,0] |
$7\cdot 11\cdot 137$ |
$3$ |
$102.708324882$ |
$102.70832488167646$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[2, 8]$ |
$2$ |
$1$ |
$8.50309422589$ |
| 2.0.11919.1 |
$x^{2} - x + 2980$ |
$2$ |
[0,1] |
$-\,3\cdot 29\cdot 137$ |
$3$ |
$109.17417277$ |
$109.17417276993676$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 54]$ |
$[2, 54]$ |
$2$ |
0 |
$1$ |
| 2.0.12056.1 |
$x^{2} + 3014$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 11\cdot 137$ |
$3$ |
$109.79981785$ |
$109.79981785048643$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 24]$ |
$[2, 24]$ |
$2$ |
0 |
$1$ |
| 2.2.12056.1 |
$x^{2} - 3014$ |
$2$ |
[2,0] |
$2^{3}\cdot 11\cdot 137$ |
$3$ |
$109.79981785$ |
$109.79981785048643$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[2, 8]$ |
$2$ |
$1$ |
$7.00124479261$ |
| 2.2.12741.1 |
$x^{2} - x - 3185$ |
$2$ |
[2,0] |
$3\cdot 31\cdot 137$ |
$3$ |
$112.876038201$ |
$112.87603820120549$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$32.9453764028$ |
| 2.2.13837.1 |
$x^{2} - x - 3459$ |
$2$ |
[2,0] |
$101\cdot 137$ |
$2$ |
$117.630778285$ |
$117.63077828527702$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$19.6490749602$ |
| 2.0.14111.1 |
$x^{2} - x + 3528$ |
$2$ |
[0,1] |
$-\,103\cdot 137$ |
$2$ |
$118.789730196$ |
$118.78973019583806$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[152]$ |
$[152]$ |
$2$ |
0 |
$1$ |
| 2.2.14385.1 |
$x^{2} - x - 3596$ |
$2$ |
[2,0] |
$3\cdot 5\cdot 7\cdot 137$ |
$4$ |
$119.937483715$ |
$119.93748371547571$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 2, 6]$ |
$2$ |
$1$ |
$8.25270660868$ |
| 2.0.14659.1 |
$x^{2} - x + 3665$ |
$2$ |
[0,1] |
$-\,107\cdot 137$ |
$2$ |
$121.074357318$ |
$121.07435731813736$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[20]$ |
$[20]$ |
$2$ |
0 |
$1$ |
| 2.2.14933.1 |
$x^{2} - x - 3733$ |
$2$ |
[2,0] |
$109\cdot 137$ |
$2$ |
$122.200654663$ |
$122.20065466273084$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
$1$ |
$6.41509963782$ |
| 2.0.15755.1 |
$x^{2} - x + 3939$ |
$2$ |
[0,1] |
$-\,5\cdot 23\cdot 137$ |
$3$ |
$125.518922876$ |
$125.51892287619425$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 22]$ |
$[2, 22]$ |
$2$ |
0 |
$1$ |
| 2.0.16303.1 |
$x^{2} - x + 4076$ |
$2$ |
[0,1] |
$-\,7\cdot 17\cdot 137$ |
$3$ |
$127.683201714$ |
$127.68320171424274$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 24]$ |
$[2, 24]$ |
$2$ |
0 |
$1$ |
| 2.0.16440.1 |
$x^{2} + 4110$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 5\cdot 137$ |
$4$ |
$128.218563399$ |
$128.21856339859684$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 8]$ |
$[2, 2, 8]$ |
$2$ |
0 |
$1$ |
| 2.2.16440.1 |
$x^{2} - 4110$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 5\cdot 137$ |
$4$ |
$128.218563399$ |
$128.21856339859684$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$1$ |
$20.0079988105$ |
| 2.0.16851.1 |
$x^{2} - x + 4213$ |
$2$ |
[0,1] |
$-\,3\cdot 41\cdot 137$ |
$3$ |
$129.811401656$ |
$129.81140165640304$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 18]$ |
$[2, 18]$ |
$2$ |
0 |
$1$ |
| 2.2.17673.1 |
$x^{2} - x - 4418$ |
$2$ |
[2,0] |
$3\cdot 43\cdot 137$ |
$3$ |
$132.939836016$ |
$132.93983601614678$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$34.2919479334$ |
| 2.2.18221.1 |
$x^{2} - x - 4555$ |
$2$ |
[2,0] |
$7\cdot 19\cdot 137$ |
$3$ |
$134.985184372$ |
$134.98518437221176$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[2, 8]$ |
$2$ |
$1$ |
$4.90521990424$ |
| 2.0.18632.1 |
$x^{2} + 4658$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 17\cdot 137$ |
$3$ |
$136.499084246$ |
$136.49908424601244$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4, 16]$ |
$[4, 16]$ |
$2$ |
0 |
$1$ |
| 2.2.18632.1 |
$x^{2} - 4658$ |
$2$ |
[2,0] |
$2^{3}\cdot 17\cdot 137$ |
$3$ |
$136.499084246$ |
$136.49908424601244$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[4, 4]$ |
$2$ |
$1$ |
$6.30261562133$ |
| 2.0.19043.1 |
$x^{2} - x + 4761$ |
$2$ |
[0,1] |
$-\,137\cdot 139$ |
$2$ |
$137.996376764$ |
$137.99637676402958$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[36]$ |
$[36]$ |
$2$ |
0 |
$1$ |
| 2.2.19317.1 |
$x^{2} - x - 4829$ |
$2$ |
[2,0] |
$3\cdot 47\cdot 137$ |
$3$ |
$138.985610766$ |
$138.985610766007$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$[2, 10]$ |
$2$ |
$1$ |
$4.93442217196$ |
| 2.2.19865.1 |
$x^{2} - x - 4966$ |
$2$ |
[2,0] |
$5\cdot 29\cdot 137$ |
$3$ |
$140.943250991$ |
$140.9432509913121$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$25.978472029$ |
| 2.0.20276.1 |
$x^{2} + 5069$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 37\cdot 137$ |
$3$ |
$142.393820091$ |
$142.3938200906205$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6, 12]$ |
$[6, 12]$ |
$2$ |
0 |
$1$ |
| 2.0.20687.1 |
$x^{2} - x + 5172$ |
$2$ |
[0,1] |
$-\,137\cdot 151$ |
$2$ |
$143.829760481$ |
$143.8297604809241$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[136]$ |
$[136]$ |
$2$ |
0 |
$1$ |
| 2.0.20824.1 |
$x^{2} + 5206$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 19\cdot 137$ |
$3$ |
$144.30523206$ |
$144.30523206037958$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 24]$ |
$[2, 24]$ |
$2$ |
0 |
$1$ |
| 2.2.20824.1 |
$x^{2} - 5206$ |
$2$ |
[2,0] |
$2^{3}\cdot 19\cdot 137$ |
$3$ |
$144.30523206$ |
$144.30523206037958$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[2, 4]$ |
$2$ |
$1$ |
$32.3901734884$ |
| 2.0.21235.1 |
$x^{2} - x + 5309$ |
$2$ |
[0,1] |
$-\,5\cdot 31\cdot 137$ |
$3$ |
$145.722338713$ |
$145.722338713047$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$[2, 10]$ |
$2$ |
0 |
$1$ |