| 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 |
| 2.0.159.1 |
$x^{2} - x + 40$ |
$2$ |
[0,1] |
$-\,3\cdot 53$ |
$2$ |
$12.6095202129$ |
$12.609520212918492$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$[10]$ |
$2$ |
0 |
$1$ |
| 2.2.265.1 |
$x^{2} - x - 66$ |
$2$ |
[2,0] |
$5\cdot 53$ |
$2$ |
$16.2788205961$ |
$16.278820596099706$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$9.40459050642$ |
| 2.0.424.1 |
$x^{2} + 106$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 53$ |
$2$ |
$20.591260282$ |
$20.591260281974$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.2.424.1 |
$x^{2} - 106$ |
$2$ |
[2,0] |
$2^{3}\cdot 53$ |
$2$ |
$20.591260282$ |
$20.591260281974$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$8.98844605565$ |
| 2.2.636.1 |
$x^{2} - 159$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 53$ |
$3$ |
$25.2190404258$ |
$25.219040425836983$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$7.88155977444$ |
| 2.0.1007.1 |
$x^{2} - x + 252$ |
$2$ |
[0,1] |
$-\,19\cdot 53$ |
$2$ |
$31.7332633052$ |
$31.73326330524486$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[30]$ |
$[30]$ |
$2$ |
0 |
$1$ |
| 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 |
$1$ |
| 2.2.1113.1 |
$x^{2} - x - 278$ |
$2$ |
[2,0] |
$3\cdot 7\cdot 53$ |
$3$ |
$33.3616546352$ |
$33.36165463522455$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$14.1554951903$ |
| 2.0.1219.1 |
$x^{2} - x + 305$ |
$2$ |
[0,1] |
$-\,23\cdot 53$ |
$2$ |
$34.9141805002$ |
$34.91418050019218$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.1643.1 |
$x^{2} - x + 411$ |
$2$ |
[0,1] |
$-\,31\cdot 53$ |
$2$ |
$40.533936399$ |
$40.53393639902249$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$[10]$ |
$2$ |
0 |
$1$ |
| 2.2.1749.1 |
$x^{2} - x - 437$ |
$2$ |
[2,0] |
$3\cdot 11\cdot 53$ |
$3$ |
$41.8210473327$ |
$41.82104733265297$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$8.28727669246$ |
| 2.0.1855.1 |
$x^{2} - x + 464$ |
$2$ |
[0,1] |
$-\,5\cdot 7\cdot 53$ |
$3$ |
$43.0697109347$ |
$43.069710934716056$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$[2, 14]$ |
$2$ |
0 |
$1$ |
| 2.0.2067.1 |
$x^{2} - x + 517$ |
$2$ |
[0,1] |
$-\,3\cdot 13\cdot 53$ |
$3$ |
$45.4642716867$ |
$45.46427168667722$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
| 2.2.2173.1 |
$x^{2} - x - 543$ |
$2$ |
[2,0] |
$41\cdot 53$ |
$2$ |
$46.6154480832$ |
$46.61544808322666$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$7.10002784739$ |
| 2.0.2703.1 |
$x^{2} - x + 676$ |
$2$ |
[0,1] |
$-\,3\cdot 17\cdot 53$ |
$3$ |
$51.9903837262$ |
$51.99038372622383$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$[2, 14]$ |
$2$ |
0 |
$1$ |
| 2.0.2915.1 |
$x^{2} - x + 729$ |
$2$ |
[0,1] |
$-\,5\cdot 11\cdot 53$ |
$3$ |
$53.9907399468$ |
$53.99073994677235$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$[2, 12]$ |
$2$ |
0 |
$1$ |
| 2.0.2968.1 |
$x^{2} + 742$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 7\cdot 53$ |
$3$ |
$54.4793538875$ |
$54.47935388750494$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
| 2.2.2968.1 |
$x^{2} - 742$ |
$2$ |
[2,0] |
$2^{3}\cdot 7\cdot 53$ |
$3$ |
$54.4793538875$ |
$54.47935388750494$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$20.0811582924$ |
| 2.2.3233.1 |
$x^{2} - x - 808$ |
$2$ |
[2,0] |
$53\cdot 61$ |
$2$ |
$56.8594759033$ |
$56.859475903318$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$14.571985527$ |
| 2.2.3445.1 |
$x^{2} - x - 861$ |
$2$ |
[2,0] |
$5\cdot 13\cdot 53$ |
$3$ |
$58.6941223633$ |
$58.69412236331676$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$8.51499080804$ |
| 2.0.3551.1 |
$x^{2} - x + 888$ |
$2$ |
[0,1] |
$-\,53\cdot 67$ |
$2$ |
$59.5902676618$ |
$59.590267661758325$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[58]$ |
$[58]$ |
$2$ |
0 |
$1$ |
| 2.0.3763.1 |
$x^{2} - x + 941$ |
$2$ |
[0,1] |
$-\,53\cdot 71$ |
$2$ |
$61.3432962923$ |
$61.34329629226001$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.2.3869.1 |
$x^{2} - x - 967$ |
$2$ |
[2,0] |
$53\cdot 73$ |
$2$ |
$62.2012861603$ |
$62.20128616033595$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$5.73980325104$ |
| 2.2.4028.1 |
$x^{2} - 1007$ |
$2$ |
[2,0] |
$2^{2}\cdot 19\cdot 53$ |
$3$ |
$63.4665266105$ |
$63.46652661048972$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$6.85856393141$ |
| 2.0.4187.1 |
$x^{2} - x + 1047$ |
$2$ |
[0,1] |
$-\,53\cdot 79$ |
$2$ |
$64.7070320753$ |
$64.70703207534712$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[14]$ |
$[14]$ |
$2$ |
0 |
$1$ |
| 2.0.4399.1 |
$x^{2} - x + 1100$ |
$2$ |
[0,1] |
$-\,53\cdot 83$ |
$2$ |
$66.3249575952$ |
$66.32495759516172$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[50]$ |
$[50]$ |
$2$ |
0 |
$1$ |
| 2.0.4452.1 |
$x^{2} + 1113$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 7\cdot 53$ |
$4$ |
$66.7233092704$ |
$66.7233092704491$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 4]$ |
$[2, 2, 4]$ |
$2$ |
0 |
$1$ |
| 2.2.4505.1 |
$x^{2} - x - 1126$ |
$2$ |
[2,0] |
$5\cdot 17\cdot 53$ |
$3$ |
$67.1192967782$ |
$67.11929677819934$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$12.6782489129$ |
| 2.0.4611.1 |
$x^{2} - x + 1153$ |
$2$ |
[0,1] |
$-\,3\cdot 29\cdot 53$ |
$3$ |
$67.9043444855$ |
$67.90434448545984$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$[2, 14]$ |
$2$ |
0 |
$1$ |
| 2.0.4664.1 |
$x^{2} + 1166$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 11\cdot 53$ |
$3$ |
$68.2934843159$ |
$68.2934843158555$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 18]$ |
$[2, 18]$ |
$2$ |
0 |
$1$ |
| 2.2.4664.1 |
$x^{2} - 1166$ |
$2$ |
[2,0] |
$2^{3}\cdot 11\cdot 53$ |
$3$ |
$68.2934843159$ |
$68.2934843158555$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$21.0015453955$ |
| 2.2.4876.1 |
$x^{2} - 1219$ |
$2$ |
[2,0] |
$2^{2}\cdot 23\cdot 53$ |
$3$ |
$69.8283610004$ |
$69.82836100038436$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$38.5207400209$ |
| 2.2.5353.1 |
$x^{2} - x - 1338$ |
$2$ |
[2,0] |
$53\cdot 101$ |
$2$ |
$73.1641988954$ |
$73.16419889536138$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
$1$ |
$13.4032262519$ |
| 2.0.5459.1 |
$x^{2} - x + 1365$ |
$2$ |
[0,1] |
$-\,53\cdot 103$ |
$2$ |
$73.8850458483$ |
$73.8850458482635$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[34]$ |
$[34]$ |
$2$ |
0 |
$1$ |
| 2.0.5512.1 |
$x^{2} + 1378$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 13\cdot 53$ |
$3$ |
$74.2428447731$ |
$74.24284477308234$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$[2, 10]$ |
$2$ |
0 |
$1$ |
| 2.2.5512.1 |
$x^{2} - 1378$ |
$2$ |
[2,0] |
$2^{3}\cdot 13\cdot 53$ |
$3$ |
$74.2428447731$ |
$74.24284477308234$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$11.3574639265$ |
| 2.2.5777.1 |
$x^{2} - x - 1444$ |
$2$ |
[2,0] |
$53\cdot 109$ |
$2$ |
$76.0065786626$ |
$76.00657866263946$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$[10]$ |
$2$ |
$1$ |
$5.02392380058$ |
| 2.0.5883.1 |
$x^{2} - x + 1471$ |
$2$ |
[0,1] |
$-\,3\cdot 37\cdot 53$ |
$3$ |
$76.7007170762$ |
$76.70071707617863$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
| 2.0.6360.1 |
$x^{2} + 1590$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 5\cdot 53$ |
$4$ |
$79.7496081495$ |
$79.74960814950754$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4, 4]$ |
$[2, 4, 4]$ |
$2$ |
0 |
$1$ |
| 2.2.6360.1 |
$x^{2} - 1590$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 5\cdot 53$ |
$4$ |
$79.7496081495$ |
$79.74960814950754$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 2, 4]$ |
$2$ |
$1$ |
$6.4583358266$ |
| 2.2.6572.1 |
$x^{2} - 1643$ |
$2$ |
[2,0] |
$2^{2}\cdot 31\cdot 53$ |
$3$ |
$81.067872798$ |
$81.06787279804497$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$9.79344944421$ |
| 2.0.6731.1 |
$x^{2} - x + 1683$ |
$2$ |
[0,1] |
$-\,53\cdot 127$ |
$2$ |
$82.0426718239$ |
$82.04267182387468$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[34]$ |
$[34]$ |
$2$ |
0 |
$1$ |
| 2.2.6837.1 |
$x^{2} - x - 1709$ |
$2$ |
[2,0] |
$3\cdot 43\cdot 53$ |
$3$ |
$82.6861536172$ |
$82.68615361715648$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$10.1988773427$ |
| 2.0.6996.1 |
$x^{2} + 1749$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 11\cdot 53$ |
$4$ |
$83.6420946653$ |
$83.64209466530593$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 10]$ |
$[2, 2, 10]$ |
$2$ |
0 |
$1$ |
| 2.2.7049.1 |
$x^{2} - x - 1762$ |
$2$ |
[2,0] |
$7\cdot 19\cdot 53$ |
$3$ |
$83.9583229942$ |
$83.95832299420945$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$[2, 10]$ |
$2$ |
$1$ |
$8.30152159337$ |
| 2.0.7208.1 |
$x^{2} + 1802$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 17\cdot 53$ |
$3$ |
$84.8999411072$ |
$84.8999411071645$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 16]$ |
$[2, 16]$ |
$2$ |
0 |
$1$ |
| 2.2.7208.1 |
$x^{2} - 1802$ |
$2$ |
[2,0] |
$2^{3}\cdot 17\cdot 53$ |
$3$ |
$84.8999411072$ |
$84.8999411071645$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 4]$ |
$2$ |
$1$ |
$7.43720602003$ |
| 2.2.7261.1 |
$x^{2} - x - 1815$ |
$2$ |
[2,0] |
$53\cdot 137$ |
$2$ |
$85.2115015711$ |
$85.21150157109074$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$31.9590449874$ |
| 2.0.7367.1 |
$x^{2} - x + 1842$ |
$2$ |
[0,1] |
$-\,53\cdot 139$ |
$2$ |
$85.8312297477$ |
$85.83122974768565$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[94]$ |
$[94]$ |
$2$ |
0 |
$1$ |
| 2.2.7420.1 |
$x^{2} - 1855$ |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 7\cdot 53$ |
$4$ |
$86.1394218694$ |
$86.13942186943211$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$1$ |
$16.5065957978$ |