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 |
2.0.59.1 |
$x^{2} - x + 15$ |
$2$ |
[0,1] |
$-\,59$ |
$1$ |
$7.68114574787$ |
$7.681145747868608$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$2$ |
0 |
$1$ |
2.0.295.1 |
$x^{2} - x + 74$ |
$2$ |
[0,1] |
$-\,5\cdot 59$ |
$2$ |
$17.1755640373$ |
$17.175564037317667$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
2.2.472.1 |
$x^{2} - 118$ |
$2$ |
[2,0] |
$2^{3}\cdot 59$ |
$2$ |
$21.7255609824$ |
$21.72556098240043$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$13.3274798123$ |
2.2.649.1 |
$x^{2} - x - 162$ |
$2$ |
[2,0] |
$11\cdot 59$ |
$2$ |
$25.4754784057$ |
$25.475478405713993$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$35.348455363$ |
2.0.708.1 |
$x^{2} + 177$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 59$ |
$3$ |
$26.6082693913$ |
$26.60826939130014$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.0.1003.1 |
$x^{2} - x + 251$ |
$2$ |
[0,1] |
$-\,17\cdot 59$ |
$2$ |
$31.6701752442$ |
$31.670175244226233$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
0 |
$1$ |
2.0.1239.1 |
$x^{2} - x + 310$ |
$2$ |
[0,1] |
$-\,3\cdot 7\cdot 59$ |
$3$ |
$35.1994318136$ |
$35.199431813596085$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 16]$ |
$2$ |
0 |
$1$ |
2.2.1357.1 |
$x^{2} - x - 339$ |
$2$ |
[2,0] |
$23\cdot 59$ |
$2$ |
$36.8374809128$ |
$36.837480912787726$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$13.701903914$ |
2.2.1416.1 |
$x^{2} - 354$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 59$ |
$3$ |
$37.6297754445$ |
$37.62977544445356$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$13.1541139507$ |
2.0.1652.1 |
$x^{2} + 413$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 7\cdot 59$ |
$3$ |
$40.6448028658$ |
$40.64480286580315$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
0 |
$1$ |
2.0.1711.1 |
$x^{2} - x + 428$ |
$2$ |
[0,1] |
$-\,29\cdot 59$ |
$2$ |
$41.3642357599$ |
$41.36423575989287$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[28]$ |
$2$ |
0 |
$1$ |
2.2.1829.1 |
$x^{2} - x - 457$ |
$2$ |
[2,0] |
$31\cdot 59$ |
$2$ |
$42.7668095607$ |
$42.76680956068619$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$18.2155842725$ |
2.2.2301.1 |
$x^{2} - x - 575$ |
$2$ |
[2,0] |
$3\cdot 13\cdot 59$ |
$3$ |
$47.9687398208$ |
$47.968739820845826$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$8.02943273448$ |
2.2.2360.1 |
$x^{2} - 590$ |
$2$ |
[2,0] |
$2^{3}\cdot 5\cdot 59$ |
$3$ |
$48.579831206$ |
$48.579831205964474$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$9.35547913016$ |
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 |
$1$ |
2.2.2537.1 |
$x^{2} - x - 634$ |
$2$ |
[2,0] |
$43\cdot 59$ |
$2$ |
$50.3686410379$ |
$50.368641037852115$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$23.5296056981$ |
2.2.2773.1 |
$x^{2} - x - 693$ |
$2$ |
[2,0] |
$47\cdot 59$ |
$2$ |
$52.6592821827$ |
$52.65928218272634$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$30.0671064818$ |
2.2.3068.1 |
$x^{2} - 767$ |
$2$ |
[2,0] |
$2^{2}\cdot 13\cdot 59$ |
$3$ |
$55.3895296965$ |
$55.389529696504916$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$11.0417050955$ |
2.0.3127.1 |
$x^{2} - x + 782$ |
$2$ |
[0,1] |
$-\,53\cdot 59$ |
$2$ |
$55.9195851201$ |
$55.91958512006326$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[24]$ |
$2$ |
0 |
$1$ |
2.2.3245.1 |
$x^{2} - x - 811$ |
$2$ |
[2,0] |
$5\cdot 11\cdot 59$ |
$3$ |
$56.9649014745$ |
$56.96490147450446$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$4.04274333863$ |
2.2.3304.1 |
$x^{2} - 826$ |
$2$ |
[2,0] |
$2^{3}\cdot 7\cdot 59$ |
$3$ |
$57.4804314528$ |
$57.48043145279966$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$26.8201677678$ |
2.0.3363.1 |
$x^{2} - x + 841$ |
$2$ |
[0,1] |
$-\,3\cdot 19\cdot 59$ |
$3$ |
$57.9913786696$ |
$57.99137866959192$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
2.0.3540.1 |
$x^{2} + 885$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 5\cdot 59$ |
$4$ |
$59.4978991226$ |
$59.49789912257407$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 6]$ |
$2$ |
0 |
$1$ |
2.2.3953.1 |
$x^{2} - x - 988$ |
$2$ |
[2,0] |
$59\cdot 67$ |
$2$ |
$62.8728876385$ |
$62.8728876384726$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$44.2592029965$ |
2.0.4484.1 |
$x^{2} + 1121$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 19\cdot 59$ |
$3$ |
$66.9626761711$ |
$66.96267617113283$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 22]$ |
$2$ |
0 |
$1$ |
2.2.4897.1 |
$x^{2} - x - 1224$ |
$2$ |
[2,0] |
$59\cdot 83$ |
$2$ |
$69.9785681477$ |
$69.97856814768362$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$96.8009801727$ |
2.0.5015.1 |
$x^{2} - x + 1254$ |
$2$ |
[0,1] |
$-\,5\cdot 17\cdot 59$ |
$3$ |
$70.8166647054$ |
$70.81666470542086$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 44]$ |
$2$ |
0 |
$1$ |
2.0.5192.1 |
$x^{2} + 1298$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 11\cdot 59$ |
$3$ |
$72.0555341386$ |
$72.05553413860729$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 16]$ |
$2$ |
0 |
$1$ |
2.2.5369.1 |
$x^{2} - x - 1342$ |
$2$ |
[2,0] |
$7\cdot 13\cdot 59$ |
$3$ |
$73.2734604069$ |
$73.27346040688948$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
$1$ |
$12.2055224942$ |
2.2.6077.1 |
$x^{2} - x - 1519$ |
$2$ |
[2,0] |
$59\cdot 103$ |
$2$ |
$77.9551152908$ |
$77.95511529078769$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$23.918325109$ |
2.0.6136.1 |
$x^{2} + 1534$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 13\cdot 59$ |
$3$ |
$78.3326241103$ |
$78.33262411026456$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
0 |
$1$ |
2.0.6195.1 |
$x^{2} - x + 1549$ |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 7\cdot 59$ |
$4$ |
$78.7083223046$ |
$78.70832230456955$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 4]$ |
$2$ |
0 |
$1$ |
2.2.6549.1 |
$x^{2} - x - 1637$ |
$2$ |
[2,0] |
$3\cdot 37\cdot 59$ |
$3$ |
$80.9258920247$ |
$80.92589202474076$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
$1$ |
$7.68937089807$ |
2.2.6785.1 |
$x^{2} - x - 1696$ |
$2$ |
[2,0] |
$5\cdot 23\cdot 59$ |
$3$ |
$82.3711114408$ |
$82.37111144084436$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$41.7857420634$ |
2.2.7080.1 |
$x^{2} - 1770$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 5\cdot 59$ |
$4$ |
$84.1427358719$ |
$84.14273587185052$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$7.07157264359$ |
2.2.7729.1 |
$x^{2} - x - 1932$ |
$2$ |
[2,0] |
$59\cdot 131$ |
$2$ |
$87.9147314163$ |
$87.91473141629905$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$153.250731686$ |
2.2.7788.1 |
$x^{2} - 1947$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 11\cdot 59$ |
$4$ |
$88.2496458916$ |
$88.24964589164084$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
$1$ |
$6.55961323121$ |
2.0.7847.1 |
$x^{2} - x + 1962$ |
$2$ |
[0,1] |
$-\,7\cdot 19\cdot 59$ |
$3$ |
$88.5832941361$ |
$88.58329413608415$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 28]$ |
$2$ |
0 |
$1$ |
2.2.8024.1 |
$x^{2} - 2006$ |
$2$ |
[2,0] |
$2^{3}\cdot 17\cdot 59$ |
$3$ |
$89.5767827062$ |
$89.57678270623477$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$14.0594679898$ |
2.0.8083.1 |
$x^{2} - x + 2021$ |
$2$ |
[0,1] |
$-\,59\cdot 137$ |
$2$ |
$89.9055059493$ |
$89.90550594930212$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$2$ |
0 |
$1$ |
2.0.8260.1 |
$x^{2} + 2065$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 7\cdot 59$ |
$4$ |
$90.88454214$ |
$90.8845421400141$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 6]$ |
$2$ |
0 |
$1$ |
2.0.8555.1 |
$x^{2} - x + 2139$ |
$2$ |
[0,1] |
$-\,5\cdot 29\cdot 59$ |
$3$ |
$92.4932429964$ |
$92.49324299644812$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4, 8]$ |
$2$ |
0 |
$1$ |
2.2.8732.1 |
$x^{2} - 2183$ |
$2$ |
[2,0] |
$2^{2}\cdot 37\cdot 59$ |
$3$ |
$93.4451710898$ |
$93.44517108978933$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$14.6106473792$ |
2.2.8909.1 |
$x^{2} - x - 2227$ |
$2$ |
[2,0] |
$59\cdot 151$ |
$2$ |
$94.3874991723$ |
$94.38749917229505$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$2$ |
$1$ |
$9.62258245998$ |
2.2.8968.1 |
$x^{2} - 2242$ |
$2$ |
[2,0] |
$2^{3}\cdot 19\cdot 59$ |
$3$ |
$94.699524814$ |
$94.69952481401371$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$37.3275282259$ |
2.2.9145.1 |
$x^{2} - x - 2286$ |
$2$ |
[2,0] |
$5\cdot 31\cdot 59$ |
$3$ |
$95.6294933585$ |
$95.62949335848225$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$33.6551736312$ |
2.2.9912.1 |
$x^{2} - 2478$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 7\cdot 59$ |
$4$ |
$99.5590277172$ |
$99.55902771722914$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$10.9568583727$ |
2.2.10561.1 |
$x^{2} - x - 2640$ |
$2$ |
[2,0] |
$59\cdot 179$ |
$2$ |
$102.766726133$ |
$102.76672613253767$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$2$ |
$1$ |
$59.166905225$ |
2.0.10679.1 |
$x^{2} - x + 2670$ |
$2$ |
[0,1] |
$-\,59\cdot 181$ |
$2$ |
$103.339247143$ |
$103.33924714260309$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[92]$ |
$2$ |
0 |
$1$ |
2.2.10797.1 |
$x^{2} - x - 2699$ |
$2$ |
[2,0] |
$3\cdot 59\cdot 61$ |
$3$ |
$103.908613695$ |
$103.90861369491944$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$12.9842064463$ |