| 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 |
| 2.0.87.1 |
$x^{2} - x + 22$ |
$2$ |
[0,1] |
$-\,3\cdot 29$ |
$2$ |
$9.32737905309$ |
$9.327379053088816$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.104.1 |
$x^{2} + 26$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 13$ |
$2$ |
$10.1980390272$ |
$10.198039027185569$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.116.1 |
$x^{2} + 29$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 29$ |
$2$ |
$10.7703296143$ |
$10.770329614269007$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.152.1 |
$x^{2} + 38$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 19$ |
$2$ |
$12.3288280059$ |
$12.328828005937952$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.212.1 |
$x^{2} + 53$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 53$ |
$2$ |
$14.5602197786$ |
$14.560219778561036$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.244.1 |
$x^{2} + 61$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 61$ |
$2$ |
$15.6204993518$ |
$15.620499351813308$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.247.1 |
$x^{2} - x + 62$ |
$2$ |
[0,1] |
$-\,13\cdot 19$ |
$2$ |
$15.7162336455$ |
$15.716233645501712$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.339.1 |
$x^{2} - x + 85$ |
$2$ |
[0,1] |
$-\,3\cdot 113$ |
$2$ |
$18.4119526395$ |
$18.411952639521967$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.411.1 |
$x^{2} - x + 103$ |
$2$ |
[0,1] |
$-\,3\cdot 137$ |
$2$ |
$20.2731349327$ |
$20.273134932713294$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 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 |
$1$ |
| 2.0.436.1 |
$x^{2} + 109$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 109$ |
$2$ |
$20.8806130178$ |
$20.8806130178211$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.451.1 |
$x^{2} - x + 113$ |
$2$ |
[0,1] |
$-\,11\cdot 41$ |
$2$ |
$21.2367605816$ |
$21.236760581595302$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.472.1 |
$x^{2} + 118$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 59$ |
$2$ |
$21.7255609824$ |
$21.72556098240043$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.515.1 |
$x^{2} - x + 129$ |
$2$ |
[0,1] |
$-\,5\cdot 103$ |
$2$ |
$22.6936114358$ |
$22.693611435820433$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.628.1 |
$x^{2} + 157$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 157$ |
$2$ |
$25.0599281723$ |
$25.059928172283335$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.2.697.1 |
$x^{2} - x - 174$ |
$2$ |
[2,0] |
$17\cdot 41$ |
$2$ |
$26.4007575649$ |
$26.40075756488817$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
$1$ |
$5.57596345086$ |
| 2.0.707.1 |
$x^{2} - x + 177$ |
$2$ |
[0,1] |
$-\,7\cdot 101$ |
$2$ |
$26.5894716006$ |
$26.589471600616662$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.771.1 |
$x^{2} - x + 193$ |
$2$ |
[0,1] |
$-\,3\cdot 257$ |
$2$ |
$27.7668867538$ |
$27.76688675382964$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.2.785.1 |
$x^{2} - x - 196$ |
$2$ |
[2,0] |
$5\cdot 157$ |
$2$ |
$28.0178514522$ |
$28.0178514522438$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
$1$ |
$4.02567041587$ |
| 2.0.808.1 |
$x^{2} + 202$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 101$ |
$2$ |
$28.4253408071$ |
$28.42534080710379$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.835.1 |
$x^{2} - x + 209$ |
$2$ |
[0,1] |
$-\,5\cdot 167$ |
$2$ |
$28.8963665536$ |
$28.89636655359978$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.843.1 |
$x^{2} - x + 211$ |
$2$ |
[0,1] |
$-\,3\cdot 281$ |
$2$ |
$29.0344622819$ |
$29.03446228191595$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.856.1 |
$x^{2} + 214$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 107$ |
$2$ |
$29.2574776767$ |
$29.257477676655586$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.2.940.1 |
$x^{2} - 235$ |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 47$ |
$3$ |
$30.6594194335$ |
$30.659419433511783$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[2, 6]$ |
$2$ |
$1$ |
$4.52167040866$ |
| 2.2.985.1 |
$x^{2} - x - 246$ |
$2$ |
[2,0] |
$5\cdot 197$ |
$2$ |
$31.384709653$ |
$31.38470965295043$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
$1$ |
$6.70441585679$ |
| 2.0.1048.1 |
$x^{2} + 262$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 131$ |
$2$ |
$32.3728281125$ |
$32.37282811247729$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.1059.1 |
$x^{2} - x + 265$ |
$2$ |
[0,1] |
$-\,3\cdot 353$ |
$2$ |
$32.5422801905$ |
$32.54228019054596$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.1099.1 |
$x^{2} - x + 275$ |
$2$ |
[0,1] |
$-\,7\cdot 157$ |
$2$ |
$33.1511689085$ |
$33.15116890850155$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.1108.1 |
$x^{2} + 277$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 277$ |
$2$ |
$33.2866339542$ |
$33.28663395418648$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.1147.1 |
$x^{2} - x + 287$ |
$2$ |
[0,1] |
$-\,31\cdot 37$ |
$2$ |
$33.8673884438$ |
$33.8673884437522$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.1192.1 |
$x^{2} + 298$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 149$ |
$2$ |
$34.5253530033$ |
$34.52535300326414$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.1203.1 |
$x^{2} - x + 301$ |
$2$ |
[0,1] |
$-\,3\cdot 401$ |
$2$ |
$34.684290392$ |
$34.68429039204925$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 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 |
$1$ |
| 2.0.1267.1 |
$x^{2} - x + 317$ |
$2$ |
[0,1] |
$-\,7\cdot 181$ |
$2$ |
$35.5949434611$ |
$35.59494346111537$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.1315.1 |
$x^{2} - x + 329$ |
$2$ |
[0,1] |
$-\,5\cdot 263$ |
$2$ |
$36.2629287289$ |
$36.26292872893749$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.2.1345.1 |
$x^{2} - x - 336$ |
$2$ |
[2,0] |
$5\cdot 269$ |
$2$ |
$36.6742416418$ |
$36.6742416417845$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[12]$ |
$2$ |
$1$ |
$9.17802375983$ |
| 2.0.1347.1 |
$x^{2} - x + 337$ |
$2$ |
[0,1] |
$-\,3\cdot 449$ |
$2$ |
$36.701498607$ |
$36.701498607005135$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.1363.1 |
$x^{2} - x + 341$ |
$2$ |
[0,1] |
$-\,29\cdot 47$ |
$2$ |
$36.9188298839$ |
$36.91882988394946$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.2.1384.1 |
$x^{2} - 346$ |
$2$ |
[2,0] |
$2^{3}\cdot 173$ |
$2$ |
$37.2021504755$ |
$37.20215047547655$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
$1$ |
$5.22577557754$ |
| 2.0.1432.1 |
$x^{2} + 358$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 179$ |
$2$ |
$37.8417758568$ |
$37.841775856849004$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.1563.1 |
$x^{2} - x + 391$ |
$2$ |
[0,1] |
$-\,3\cdot 521$ |
$2$ |
$39.5347948015$ |
$39.534794801541594$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.1588.1 |
$x^{2} + 397$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 397$ |
$2$ |
$39.8497176903$ |
$39.84971769034255$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.1603.1 |
$x^{2} - x + 401$ |
$2$ |
[0,1] |
$-\,7\cdot 229$ |
$2$ |
$40.0374824383$ |
$40.0374824383352$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.2.1708.1 |
$x^{2} - 427$ |
$2$ |
[2,0] |
$2^{2}\cdot 7\cdot 61$ |
$3$ |
$41.3279566395$ |
$41.32795663954365$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[2, 6]$ |
$2$ |
$1$ |
$4.82021652284$ |
| 2.2.1765.1 |
$x^{2} - x - 441$ |
$2$ |
[2,0] |
$5\cdot 353$ |
$2$ |
$42.0119030752$ |
$42.01190307520001$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
$1$ |
$4.43095849208$ |
| 2.0.1843.1 |
$x^{2} - x + 461$ |
$2$ |
[0,1] |
$-\,19\cdot 97$ |
$2$ |
$42.9301758673$ |
$42.930175867331364$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.0.1915.1 |
$x^{2} - x + 479$ |
$2$ |
[0,1] |
$-\,5\cdot 383$ |
$2$ |
$43.7607129741$ |
$43.76071297408213$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.2.1937.1 |
$x^{2} - x - 484$ |
$2$ |
[2,0] |
$13\cdot 149$ |
$2$ |
$44.0113621693$ |
$44.01136216933077$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
$1$ |
$4.4774659217$ |
| 2.0.1963.1 |
$x^{2} - x + 491$ |
$2$ |
[0,1] |
$-\,13\cdot 151$ |
$2$ |
$44.3057558338$ |
$44.30575583375144$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[6]$ |
$2$ |
0 |
$1$ |
| 2.2.2024.1 |
$x^{2} - 506$ |
$2$ |
[2,0] |
$2^{3}\cdot 11\cdot 23$ |
$3$ |
$44.9888875168$ |
$44.98888751680797$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[2, 6]$ |
$2$ |
$1$ |
$4.49968619067$ |
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