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 |
2.0.51.1 |
$x^{2} - x + 13$ |
$2$ |
[0,1] |
$-\,3\cdot 17$ |
$2$ |
$7.14142842854$ |
$7.14142842854285$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
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) |
$[2]$ |
$2$ |
$1$ |
$2.20934770862$ |
2.0.119.1 |
$x^{2} - x + 30$ |
$2$ |
[0,1] |
$-\,7\cdot 17$ |
$2$ |
$10.9087121146$ |
$10.908712114635714$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$2$ |
0 |
$1$ |
2.0.187.1 |
$x^{2} - x + 47$ |
$2$ |
[0,1] |
$-\,11\cdot 17$ |
$2$ |
$13.6747943312$ |
$13.674794331177344$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
0 |
$1$ |
2.2.204.1 |
$x^{2} - 51$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 17$ |
$3$ |
$14.2828568571$ |
$14.2828568570857$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.60507017098$ |
2.0.340.1 |
$x^{2} + 85$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 17$ |
$3$ |
$18.4390889146$ |
$18.439088914585774$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.0.391.1 |
$x^{2} - x + 98$ |
$2$ |
[0,1] |
$-\,17\cdot 23$ |
$2$ |
$19.7737199333$ |
$19.77371993328519$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[14]$ |
$2$ |
0 |
$1$ |
2.0.408.1 |
$x^{2} + 102$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 17$ |
$3$ |
$20.1990098767$ |
$20.199009876724155$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.2.408.1 |
$x^{2} - 102$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 17$ |
$3$ |
$20.1990098767$ |
$20.199009876724155$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$5.3082431891$ |
2.2.476.1 |
$x^{2} - 119$ |
$2$ |
[2,0] |
$2^{2}\cdot 7\cdot 17$ |
$3$ |
$21.8174242293$ |
$21.817424229271428$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$5.48062156178$ |
2.2.493.1 |
$x^{2} - x - 123$ |
$2$ |
[2,0] |
$17\cdot 29$ |
$2$ |
$22.2036033112$ |
$22.20360331117452$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.70961135368$ |
2.0.527.1 |
$x^{2} - x + 132$ |
$2$ |
[0,1] |
$-\,17\cdot 31$ |
$2$ |
$22.9564805665$ |
$22.956480566497994$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[18]$ |
$2$ |
0 |
$1$ |
2.2.629.1 |
$x^{2} - x - 157$ |
$2$ |
[2,0] |
$17\cdot 37$ |
$2$ |
$25.079872408$ |
$25.079872407968907$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.22047199846$ |
2.0.663.1 |
$x^{2} - x + 166$ |
$2$ |
[0,1] |
$-\,3\cdot 13\cdot 17$ |
$3$ |
$25.7487863792$ |
$25.748786379167466$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
2.0.680.1 |
$x^{2} + 170$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 17$ |
$3$ |
$26.0768096208$ |
$26.076809620810597$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
0 |
$1$ |
2.2.680.1 |
$x^{2} - 170$ |
$2$ |
[2,0] |
$2^{3}\cdot 5\cdot 17$ |
$3$ |
$26.0768096208$ |
$26.076809620810597$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$3.25957255626$ |
2.2.697.1 |
$x^{2} - x - 174$ |
$2$ |
[2,0] |
$17\cdot 41$ |
$2$ |
$26.4007575649$ |
$26.40075756488817$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
$1$ |
$5.57596345086$ |
2.2.748.1 |
$x^{2} - 187$ |
$2$ |
[2,0] |
$2^{2}\cdot 11\cdot 17$ |
$3$ |
$27.3495886624$ |
$27.349588662354687$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$8.12088593273$ |
2.0.952.1 |
$x^{2} + 238$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 7\cdot 17$ |
$3$ |
$30.8544972411$ |
$30.854497241083024$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.2.952.1 |
$x^{2} - 238$ |
$2$ |
[2,0] |
$2^{3}\cdot 7\cdot 17$ |
$3$ |
$30.8544972411$ |
$30.854497241083024$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$10.0573238954$ |
2.2.969.1 |
$x^{2} - x - 242$ |
$2$ |
[2,0] |
$3\cdot 17\cdot 19$ |
$3$ |
$31.1287648325$ |
$31.12876483254676$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$17.1179147746$ |
2.2.1037.1 |
$x^{2} - x - 259$ |
$2$ |
[2,0] |
$17\cdot 61$ |
$2$ |
$32.2024843762$ |
$32.202484376209235$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$5.08144294151$ |
2.2.1105.1 |
$x^{2} - x - 276$ |
$2$ |
[2,0] |
$5\cdot 13\cdot 17$ |
$3$ |
$33.2415402772$ |
$33.24154027718932$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$10.9503854058$ |
2.0.1207.1 |
$x^{2} - x + 302$ |
$2$ |
[0,1] |
$-\,17\cdot 71$ |
$2$ |
$34.7419055321$ |
$34.741905532080416$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[18]$ |
$2$ |
0 |
$1$ |
2.2.1241.1 |
$x^{2} - x - 310$ |
$2$ |
[2,0] |
$17\cdot 73$ |
$2$ |
$35.2278299076$ |
$35.22782990761707$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$18.0348721348$ |
2.0.1343.1 |
$x^{2} - x + 336$ |
$2$ |
[0,1] |
$-\,17\cdot 79$ |
$2$ |
$36.6469644036$ |
$36.64696440361739$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[34]$ |
$2$ |
0 |
$1$ |
2.0.1496.1 |
$x^{2} + 374$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 11\cdot 17$ |
$3$ |
$38.6781592116$ |
$38.67815921162743$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$2$ |
0 |
$1$ |
2.2.1496.1 |
$x^{2} - 374$ |
$2$ |
[2,0] |
$2^{3}\cdot 11\cdot 17$ |
$3$ |
$38.6781592116$ |
$38.67815921162743$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$8.81433040056$ |
2.0.1547.1 |
$x^{2} - x + 387$ |
$2$ |
[0,1] |
$-\,7\cdot 13\cdot 17$ |
$3$ |
$39.3319208786$ |
$39.331920878594275$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
0 |
$1$ |
2.2.1564.1 |
$x^{2} - 391$ |
$2$ |
[2,0] |
$2^{2}\cdot 17\cdot 23$ |
$3$ |
$39.5474398666$ |
$39.54743986657038$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$16.5018167285$ |
2.0.1615.1 |
$x^{2} - x + 404$ |
$2$ |
[0,1] |
$-\,5\cdot 17\cdot 19$ |
$3$ |
$40.1870625948$ |
$40.18706259482024$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$2$ |
0 |
$1$ |
2.2.1649.1 |
$x^{2} - x - 412$ |
$2$ |
[2,0] |
$17\cdot 97$ |
$2$ |
$40.6078810085$ |
$40.607881008493905$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$19.1985833254$ |
2.2.1785.1 |
$x^{2} - x - 446$ |
$2$ |
[2,0] |
$3\cdot 5\cdot 7\cdot 17$ |
$4$ |
$42.2492603486$ |
$42.24926034855522$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
$1$ |
$5.82303714217$ |
2.0.1819.1 |
$x^{2} - x + 455$ |
$2$ |
[0,1] |
$-\,17\cdot 107$ |
$2$ |
$42.6497362243$ |
$42.649736224272246$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$2$ |
0 |
$1$ |
2.2.1853.1 |
$x^{2} - x - 463$ |
$2$ |
[2,0] |
$17\cdot 109$ |
$2$ |
$43.0464865001$ |
$43.04648650006177$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.76174051035$ |
2.2.1921.1 |
$x^{2} - x - 480$ |
$2$ |
[2,0] |
$17\cdot 113$ |
$2$ |
$43.8292140016$ |
$43.829214001622255$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$32.5923095149$ |
2.0.1972.1 |
$x^{2} + 493$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 17\cdot 29$ |
$3$ |
$44.4072066223$ |
$44.40720662234904$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
0 |
$1$ |
2.2.2108.1 |
$x^{2} - 527$ |
$2$ |
[2,0] |
$2^{2}\cdot 17\cdot 31$ |
$3$ |
$45.912961133$ |
$45.91296113299599$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$6.96224256751$ |
2.2.2193.1 |
$x^{2} - x - 548$ |
$2$ |
[2,0] |
$3\cdot 17\cdot 43$ |
$3$ |
$46.8294778959$ |
$46.82947789587238$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$24.7987627034$ |
2.0.2227.1 |
$x^{2} - x + 557$ |
$2$ |
[0,1] |
$-\,17\cdot 131$ |
$2$ |
$47.191100856$ |
$47.19110085598767$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
0 |
$1$ |
2.2.2261.1 |
$x^{2} - x - 565$ |
$2$ |
[2,0] |
$7\cdot 17\cdot 19$ |
$3$ |
$47.5499737119$ |
$47.54997371187496$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$7.55066096668$ |
2.0.2363.1 |
$x^{2} - x + 591$ |
$2$ |
[0,1] |
$-\,17\cdot 139$ |
$2$ |
$48.6106984109$ |
$48.61069841094653$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$2$ |
0 |
$1$ |
2.2.2397.1 |
$x^{2} - x - 599$ |
$2$ |
[2,0] |
$3\cdot 17\cdot 47$ |
$3$ |
$48.9591666596$ |
$48.95916665957459$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.89140354454$ |
2.0.2431.1 |
$x^{2} - x + 608$ |
$2$ |
[0,1] |
$-\,11\cdot 13\cdot 17$ |
$3$ |
$49.3051721425$ |
$49.3051721424842$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$2$ |
0 |
$1$ |
2.0.2516.1 |
$x^{2} + 629$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 17\cdot 37$ |
$3$ |
$50.1597448159$ |
$50.15974481593781$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 18]$ |
$2$ |
0 |
$1$ |
2.2.2652.1 |
$x^{2} - 663$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 13\cdot 17$ |
$4$ |
$51.4975727583$ |
$51.49757275833493$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$5.32785260306$ |
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) |
$[2, 14]$ |
$2$ |
0 |
$1$ |
2.0.2771.1 |
$x^{2} - x + 693$ |
$2$ |
[0,1] |
$-\,17\cdot 163$ |
$2$ |
$52.640288753$ |
$52.640288753007425$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[26]$ |
$2$ |
0 |
$1$ |
2.0.2788.1 |
$x^{2} + 697$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 17\cdot 41$ |
$3$ |
$52.8015151298$ |
$52.80151512977634$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.2.2805.1 |
$x^{2} - x - 701$ |
$2$ |
[2,0] |
$3\cdot 5\cdot 11\cdot 17$ |
$4$ |
$52.9622507075$ |
$52.96225070746144$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$3.96993572472$ |