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 |
2.0.71.1 |
$x^{2} - x + 18$ |
$2$ |
[0,1] |
$-\,71$ |
$1$ |
$8.42614977318$ |
$8.426149773176359$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[7]$ |
$2$ |
0 |
$1$ |
2.0.355.1 |
$x^{2} - x + 89$ |
$2$ |
[0,1] |
$-\,5\cdot 71$ |
$2$ |
$18.8414436814$ |
$18.841443681416774$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
0 |
$1$ |
2.2.497.1 |
$x^{2} - x - 124$ |
$2$ |
[2,0] |
$7\cdot 71$ |
$2$ |
$22.2934968096$ |
$22.293496809607955$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$14.6925505602$ |
2.0.568.1 |
$x^{2} + 142$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 71$ |
$2$ |
$23.8327505756$ |
$23.83275057562597$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
0 |
$1$ |
2.2.781.1 |
$x^{2} - x - 195$ |
$2$ |
[2,0] |
$11\cdot 71$ |
$2$ |
$27.946377225$ |
$27.94637722496424$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$18.7223574186$ |
2.0.852.1 |
$x^{2} + 213$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 71$ |
$3$ |
$29.1890390387$ |
$29.189039038652847$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.2.1633.1 |
$x^{2} - x - 408$ |
$2$ |
[2,0] |
$23\cdot 71$ |
$2$ |
$40.4103947024$ |
$40.4103947023535$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$54.8465061829$ |
2.0.1704.1 |
$x^{2} + 426$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 71$ |
$3$ |
$41.2795348811$ |
$41.27953488110059$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$2$ |
0 |
$1$ |
2.0.2059.1 |
$x^{2} - x + 515$ |
$2$ |
[0,1] |
$-\,29\cdot 71$ |
$2$ |
$45.3762052182$ |
$45.37620521815371$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
2.2.2201.1 |
$x^{2} - x - 550$ |
$2$ |
[2,0] |
$31\cdot 71$ |
$2$ |
$46.914816423$ |
$46.9148164229596$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$45.2783229375$ |
2.2.2485.1 |
$x^{2} - x - 621$ |
$2$ |
[2,0] |
$5\cdot 7\cdot 71$ |
$3$ |
$49.8497743225$ |
$49.84977432245807$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$11.2556691326$ |
2.0.2627.1 |
$x^{2} - x + 657$ |
$2$ |
[0,1] |
$-\,37\cdot 71$ |
$2$ |
$51.254268115$ |
$51.254268114957995$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
0 |
$1$ |
2.2.2769.1 |
$x^{2} - x - 692$ |
$2$ |
[2,0] |
$3\cdot 13\cdot 71$ |
$3$ |
$52.6212884677$ |
$52.62128846769148$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$34.1774715812$ |
2.0.2840.1 |
$x^{2} + 710$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 71$ |
$3$ |
$53.2916503779$ |
$53.291650377896914$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 16]$ |
$2$ |
0 |
$1$ |
2.2.3337.1 |
$x^{2} - x - 834$ |
$2$ |
[2,0] |
$47\cdot 71$ |
$2$ |
$57.7667724561$ |
$57.766772456144714$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$69.7693940715$ |
2.2.3621.1 |
$x^{2} - x - 905$ |
$2$ |
[2,0] |
$3\cdot 17\cdot 71$ |
$3$ |
$60.1747455333$ |
$60.174745533321534$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$13.6475592527$ |
2.2.3692.1 |
$x^{2} - 923$ |
$2$ |
[2,0] |
$2^{2}\cdot 13\cdot 71$ |
$3$ |
$60.7618301239$ |
$60.76183012385325$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$7.15148484972$ |
2.2.3905.1 |
$x^{2} - x - 976$ |
$2$ |
[2,0] |
$5\cdot 11\cdot 71$ |
$3$ |
$62.4899991999$ |
$62.489999199871974$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$9.43332390409$ |
2.2.3976.1 |
$x^{2} - 994$ |
$2$ |
[2,0] |
$2^{3}\cdot 7\cdot 71$ |
$3$ |
$63.0555310817$ |
$63.05553108173778$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
$1$ |
$7.72753491641$ |
2.0.4047.1 |
$x^{2} - x + 1012$ |
$2$ |
[0,1] |
$-\,3\cdot 19\cdot 71$ |
$3$ |
$63.6160357143$ |
$63.61603571427569$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 20]$ |
$2$ |
0 |
$1$ |
2.2.4189.1 |
$x^{2} - x - 1047$ |
$2$ |
[2,0] |
$59\cdot 71$ |
$2$ |
$64.7224845011$ |
$64.72248450113763$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$41.962146063$ |
2.0.4260.1 |
$x^{2} + 1065$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 5\cdot 71$ |
$4$ |
$65.2686754883$ |
$65.26867548832288$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 4]$ |
$2$ |
0 |
$1$ |
2.2.4757.1 |
$x^{2} - x - 1189$ |
$2$ |
[2,0] |
$67\cdot 71$ |
$2$ |
$68.9710084021$ |
$68.97100840208152$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[5]$ |
$2$ |
$1$ |
$4.23389639848$ |
2.2.4828.1 |
$x^{2} - 1207$ |
$2$ |
[2,0] |
$2^{2}\cdot 17\cdot 71$ |
$3$ |
$69.4838110642$ |
$69.48381106416083$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$14.6570156728$ |
2.0.5183.1 |
$x^{2} - x + 1296$ |
$2$ |
[0,1] |
$-\,71\cdot 73$ |
$2$ |
$71.9930552206$ |
$71.99305522062528$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[80]$ |
$2$ |
0 |
$1$ |
2.0.5396.1 |
$x^{2} + 1349$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 19\cdot 71$ |
$3$ |
$73.4574706888$ |
$73.45747068882783$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 28]$ |
$2$ |
0 |
$1$ |
2.0.5467.1 |
$x^{2} - x + 1367$ |
$2$ |
[0,1] |
$-\,7\cdot 11\cdot 71$ |
$3$ |
$73.9391641825$ |
$73.93916418245476$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.2.5964.1 |
$x^{2} - 1491$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 7\cdot 71$ |
$4$ |
$77.2269383052$ |
$77.22693830523129$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$11.8237868103$ |
2.2.6248.1 |
$x^{2} - 1562$ |
$2$ |
[2,0] |
$2^{3}\cdot 11\cdot 71$ |
$3$ |
$79.0442913815$ |
$79.04429138147802$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$15.1037493241$ |
2.0.6319.1 |
$x^{2} - x + 1580$ |
$2$ |
[0,1] |
$-\,71\cdot 89$ |
$2$ |
$79.492137976$ |
$79.4921379760288$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[52]$ |
$2$ |
0 |
$1$ |
2.0.7171.1 |
$x^{2} - x + 1793$ |
$2$ |
[0,1] |
$-\,71\cdot 101$ |
$2$ |
$84.6817571854$ |
$84.6817571853584$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[20]$ |
$2$ |
0 |
$1$ |
2.2.7384.1 |
$x^{2} - 1846$ |
$2$ |
[2,0] |
$2^{3}\cdot 13\cdot 71$ |
$3$ |
$85.9302042358$ |
$85.93020423576334$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$37.0707285905$ |
2.0.7739.1 |
$x^{2} - x + 1935$ |
$2$ |
[0,1] |
$-\,71\cdot 109$ |
$2$ |
$87.9715863219$ |
$87.9715863219483$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[40]$ |
$2$ |
0 |
$1$ |
2.2.8165.1 |
$x^{2} - x - 2041$ |
$2$ |
[2,0] |
$5\cdot 23\cdot 71$ |
$3$ |
$90.3603895521$ |
$90.36038955205981$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$10.9270529666$ |
2.0.8520.1 |
$x^{2} + 2130$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 5\cdot 71$ |
$4$ |
$92.3038460737$ |
$92.30384607371461$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 8]$ |
$2$ |
0 |
$1$ |
2.2.8733.1 |
$x^{2} - x - 2183$ |
$2$ |
[2,0] |
$3\cdot 41\cdot 71$ |
$3$ |
$93.4505216679$ |
$93.45052166788584$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$14.7803518062$ |
2.2.9017.1 |
$x^{2} - x - 2254$ |
$2$ |
[2,0] |
$71\cdot 127$ |
$2$ |
$94.9578854019$ |
$94.95788540189804$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$59.8580642674$ |
2.0.9159.1 |
$x^{2} - x + 2290$ |
$2$ |
[0,1] |
$-\,3\cdot 43\cdot 71$ |
$3$ |
$95.7026645397$ |
$95.7026645397086$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 48]$ |
$2$ |
0 |
$1$ |
2.2.9372.1 |
$x^{2} - 2343$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 11\cdot 71$ |
$4$ |
$96.8090904822$ |
$96.80909048224758$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$9.96636844837$ |
2.2.9656.1 |
$x^{2} - 2414$ |
$2$ |
[2,0] |
$2^{3}\cdot 17\cdot 71$ |
$3$ |
$98.2649479723$ |
$98.26494797230598$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$26.0224446373$ |
2.2.9869.1 |
$x^{2} - x - 2467$ |
$2$ |
[2,0] |
$71\cdot 139$ |
$2$ |
$99.3428407083$ |
$99.34284070832683$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$2$ |
$1$ |
$8.15392504929$ |
2.0.10295.1 |
$x^{2} - x + 2574$ |
$2$ |
[0,1] |
$-\,5\cdot 29\cdot 71$ |
$3$ |
$101.464279429$ |
$101.46427942877237$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4, 32]$ |
$2$ |
0 |
$1$ |
2.0.10792.1 |
$x^{2} + 2698$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 19\cdot 71$ |
$3$ |
$103.884551306$ |
$103.88455130576442$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$2$ |
0 |
$1$ |
2.2.11005.1 |
$x^{2} - x - 2751$ |
$2$ |
[2,0] |
$5\cdot 31\cdot 71$ |
$3$ |
$104.904718674$ |
$104.9047186736612$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
$1$ |
$7.69757514075$ |
2.0.11147.1 |
$x^{2} - x + 2787$ |
$2$ |
[0,1] |
$-\,71\cdot 157$ |
$2$ |
$105.579354042$ |
$105.57935404235053$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[28]$ |
$2$ |
0 |
$1$ |
2.2.11289.1 |
$x^{2} - x - 2822$ |
$2$ |
[2,0] |
$3\cdot 53\cdot 71$ |
$3$ |
$106.249705882$ |
$106.24970588194586$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[18]$ |
$2$ |
$1$ |
$6.7452349654$ |
2.0.11431.1 |
$x^{2} - x + 2858$ |
$2$ |
[0,1] |
$-\,7\cdot 23\cdot 71$ |
$3$ |
$106.915854764$ |
$106.91585476438937$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 40]$ |
$2$ |
0 |
$1$ |
2.2.11573.1 |
$x^{2} - x - 2893$ |
$2$ |
[2,0] |
$71\cdot 163$ |
$2$ |
$107.577878767$ |
$107.57787876696584$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$31.1247892807$ |
2.2.11644.1 |
$x^{2} - 2911$ |
$2$ |
[2,0] |
$2^{2}\cdot 41\cdot 71$ |
$3$ |
$107.907367682$ |
$107.90736768172968$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$49.5298936845$ |
2.2.11928.1 |
$x^{2} - 2982$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 7\cdot 71$ |
$4$ |
$109.215383532$ |
$109.21538353180837$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$9.56085638364$ |