| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
| 2.2.41.1 |
$x^{2} - x - 10$ |
$2$ |
[2,0] |
$41$ |
$1$ |
$6.40312423743$ |
$6.4031242374328485$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$4.15912713463$ |
| 2.0.164.1 |
$x^{2} + 41$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 41$ |
$2$ |
$12.8062484749$ |
$12.806248474865697$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
| 2.2.205.1 |
$x^{2} - x - 51$ |
$2$ |
[2,0] |
$5\cdot 41$ |
$2$ |
$14.3178210633$ |
$14.317821063276353$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.76065884353$ |
| 2.0.328.1 |
$x^{2} + 82$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 41$ |
$2$ |
$18.1107702763$ |
$18.110770276274835$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
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) |
$[4]$ |
$2$ |
$1$ |
$2.89344398589$ |
| 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) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
| 2.2.861.1 |
$x^{2} - x - 215$ |
$2$ |
[2,0] |
$3\cdot 7\cdot 41$ |
$3$ |
$29.3428015022$ |
$29.34280150224242$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$6.93439626182$ |
| 2.0.943.1 |
$x^{2} - x + 236$ |
$2$ |
[0,1] |
$-\,23\cdot 41$ |
$2$ |
$30.7083050656$ |
$30.708305065568176$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$2$ |
0 |
$1$ |
| 2.0.1271.1 |
$x^{2} - x + 318$ |
$2$ |
[0,1] |
$-\,31\cdot 41$ |
$2$ |
$35.65108694$ |
$35.651086939951774$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[40]$ |
$2$ |
0 |
$1$ |
| 2.2.1353.1 |
$x^{2} - x - 338$ |
$2$ |
[2,0] |
$3\cdot 11\cdot 41$ |
$3$ |
$36.7831483155$ |
$36.78314831549904$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$18.2694492359$ |
| 2.2.1517.1 |
$x^{2} - x - 379$ |
$2$ |
[2,0] |
$37\cdot 41$ |
$2$ |
$38.9486841883$ |
$38.948684188300895$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.6629035346$ |
| 2.0.1599.1 |
$x^{2} - x + 400$ |
$2$ |
[0,1] |
$-\,3\cdot 13\cdot 41$ |
$3$ |
$39.9874980463$ |
$39.98749804626441$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 18]$ |
$2$ |
0 |
$1$ |
| 2.0.1640.1 |
$x^{2} + 410$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 41$ |
$3$ |
$40.4969134626$ |
$40.496913462633174$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
| 2.2.1640.1 |
$x^{2} - 410$ |
$2$ |
[2,0] |
$2^{3}\cdot 5\cdot 41$ |
$3$ |
$40.4969134626$ |
$40.496913462633174$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$5.08755822911$ |
| 2.0.1763.1 |
$x^{2} - x + 441$ |
$2$ |
[0,1] |
$-\,41\cdot 43$ |
$2$ |
$41.9880935504$ |
$41.98809355043403$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
0 |
$1$ |
| 2.0.2091.1 |
$x^{2} - x + 523$ |
$2$ |
[0,1] |
$-\,3\cdot 17\cdot 41$ |
$3$ |
$45.7274534607$ |
$45.727453460694704$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
0 |
$1$ |
| 2.2.2337.1 |
$x^{2} - x - 584$ |
$2$ |
[2,0] |
$3\cdot 19\cdot 41$ |
$3$ |
$48.3425278611$ |
$48.342527861087284$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$21.0198154855$ |
| 2.0.2419.1 |
$x^{2} - x + 605$ |
$2$ |
[0,1] |
$-\,41\cdot 59$ |
$2$ |
$49.1833305094$ |
$49.18333050943175$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
| 2.2.2501.1 |
$x^{2} - x - 625$ |
$2$ |
[2,0] |
$41\cdot 61$ |
$2$ |
$50.0099990002$ |
$50.00999900019995$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$4.60527017099$ |
| 2.2.2993.1 |
$x^{2} - x - 748$ |
$2$ |
[2,0] |
$41\cdot 73$ |
$2$ |
$54.7083174664$ |
$54.70831746635972$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
$1$ |
$7.87321690985$ |
| 2.2.3157.1 |
$x^{2} - x - 789$ |
$2$ |
[2,0] |
$7\cdot 11\cdot 41$ |
$3$ |
$56.1871871515$ |
$56.18718715152058$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$10.9354435232$ |
| 2.0.3403.1 |
$x^{2} - x + 851$ |
$2$ |
[0,1] |
$-\,41\cdot 83$ |
$2$ |
$58.3352380641$ |
$58.33523806414096$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
| 2.0.3444.1 |
$x^{2} + 861$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 7\cdot 41$ |
$4$ |
$58.6856030045$ |
$58.68560300448484$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 6]$ |
$2$ |
0 |
$1$ |
| 2.0.3567.1 |
$x^{2} - x + 892$ |
$2$ |
[0,1] |
$-\,3\cdot 29\cdot 41$ |
$3$ |
$59.7243668866$ |
$59.724366886556446$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
0 |
$1$ |
| 2.0.3731.1 |
$x^{2} - x + 933$ |
$2$ |
[0,1] |
$-\,7\cdot 13\cdot 41$ |
$3$ |
$61.0819122163$ |
$61.08191221630181$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$2$ |
0 |
$1$ |
| 2.2.3772.1 |
$x^{2} - 943$ |
$2$ |
[2,0] |
$2^{2}\cdot 23\cdot 41$ |
$3$ |
$61.4166101311$ |
$61.41661013113635$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$7.29573461249$ |
| 2.0.4223.1 |
$x^{2} - x + 1056$ |
$2$ |
[0,1] |
$-\,41\cdot 103$ |
$2$ |
$64.9846135635$ |
$64.98461356351979$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[44]$ |
$2$ |
0 |
$1$ |
| 2.2.4305.1 |
$x^{2} - x - 1076$ |
$2$ |
[2,0] |
$3\cdot 5\cdot 7\cdot 41$ |
$4$ |
$65.6124988093$ |
$65.612498809297$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
$1$ |
$9.25894003274$ |
| 2.0.4387.1 |
$x^{2} - x + 1097$ |
$2$ |
[0,1] |
$-\,41\cdot 107$ |
$2$ |
$66.2344321331$ |
$66.23443213314356$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
| 2.2.4633.1 |
$x^{2} - x - 1158$ |
$2$ |
[2,0] |
$41\cdot 113$ |
$2$ |
$68.066144301$ |
$68.06614430096654$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$36.1658309671$ |
| 2.0.4715.1 |
$x^{2} - x + 1179$ |
$2$ |
[0,1] |
$-\,5\cdot 23\cdot 41$ |
$3$ |
$68.6658576004$ |
$68.66585760041157$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$2$ |
0 |
$1$ |
| 2.0.4879.1 |
$x^{2} - x + 1220$ |
$2$ |
[0,1] |
$-\,7\cdot 17\cdot 41$ |
$3$ |
$69.8498389404$ |
$69.84983894040128$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 26]$ |
$2$ |
0 |
$1$ |
| 2.2.5084.1 |
$x^{2} - 1271$ |
$2$ |
[2,0] |
$2^{2}\cdot 31\cdot 41$ |
$3$ |
$71.3021738799$ |
$71.30217387990355$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$11.0913004864$ |
| 2.0.5207.1 |
$x^{2} - x + 1302$ |
$2$ |
[0,1] |
$-\,41\cdot 127$ |
$2$ |
$72.1595454531$ |
$72.15954545311382$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[56]$ |
$2$ |
0 |
$1$ |
| 2.0.5371.1 |
$x^{2} - x + 1343$ |
$2$ |
[0,1] |
$-\,41\cdot 131$ |
$2$ |
$73.2871066423$ |
$73.287106642301$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
0 |
$1$ |
| 2.0.5412.1 |
$x^{2} + 1353$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 11\cdot 41$ |
$4$ |
$73.566296631$ |
$73.56629663099808$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 4]$ |
$2$ |
0 |
$1$ |
| 2.2.5453.1 |
$x^{2} - x - 1363$ |
$2$ |
[2,0] |
$7\cdot 19\cdot 41$ |
$3$ |
$73.8444310696$ |
$73.84443106964804$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$8.10862317779$ |
| 2.0.5699.1 |
$x^{2} - x + 1425$ |
$2$ |
[0,1] |
$-\,41\cdot 139$ |
$2$ |
$75.4917214004$ |
$75.49172140042907$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[24]$ |
$2$ |
0 |
$1$ |
| 2.2.5781.1 |
$x^{2} - x - 1445$ |
$2$ |
[2,0] |
$3\cdot 41\cdot 47$ |
$3$ |
$76.0328876211$ |
$76.03288762108144$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$15.6713439092$ |
| 2.0.5863.1 |
$x^{2} - x + 1466$ |
$2$ |
[0,1] |
$-\,11\cdot 13\cdot 41$ |
$3$ |
$76.5702292017$ |
$76.5702292016943$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$2$ |
0 |
$1$ |
| 2.0.6068.1 |
$x^{2} + 1517$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 37\cdot 41$ |
$3$ |
$77.8973683766$ |
$77.89736837660179$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 24]$ |
$2$ |
0 |
$1$ |
| 2.0.6355.1 |
$x^{2} - x + 1589$ |
$2$ |
[0,1] |
$-\,5\cdot 31\cdot 41$ |
$3$ |
$79.7182538695$ |
$79.71825386948713$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4, 4]$ |
$2$ |
0 |
$1$ |
| 2.2.6396.1 |
$x^{2} - 1599$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 13\cdot 41$ |
$4$ |
$79.9749960925$ |
$79.97499609252883$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
$1$ |
$4.38187034804$ |
| 2.0.6519.1 |
$x^{2} - x + 1630$ |
$2$ |
[0,1] |
$-\,3\cdot 41\cdot 53$ |
$3$ |
$80.7403244977$ |
$80.7403244977378$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 34]$ |
$2$ |
0 |
$1$ |
| 2.0.6683.1 |
$x^{2} - x + 1671$ |
$2$ |
[0,1] |
$-\,41\cdot 163$ |
$2$ |
$81.7496177361$ |
$81.74961773610933$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[32]$ |
$2$ |
0 |
$1$ |
| 2.2.6765.1 |
$x^{2} - x - 1691$ |
$2$ |
[2,0] |
$3\cdot 5\cdot 11\cdot 41$ |
$4$ |
$82.2496200599$ |
$82.24962005991274$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$6.48920262166$ |
| 2.0.6888.1 |
$x^{2} + 1722$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 7\cdot 41$ |
$4$ |
$82.993975685$ |
$82.99397568498571$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 6]$ |
$2$ |
0 |
$1$ |
| 2.2.6888.1 |
$x^{2} - 1722$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 7\cdot 41$ |
$4$ |
$82.993975685$ |
$82.99397568498571$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$5.11195149664$ |
| 2.2.7052.1 |
$x^{2} - 1763$ |
$2$ |
[2,0] |
$2^{2}\cdot 41\cdot 43$ |
$3$ |
$83.9761871009$ |
$83.97618710086806$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$4.43067504535$ |
| 2.2.7093.1 |
$x^{2} - x - 1773$ |
$2$ |
[2,0] |
$41\cdot 173$ |
$2$ |
$84.2199501306$ |
$84.21995013059554$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$12.0368311703$ |
