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 |
2.0.107.1 |
$x^{2} - x + 27$ |
$2$ |
[0,1] |
$-\,107$ |
$1$ |
$10.3440804328$ |
$10.344080432788601$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$2$ |
0 |
$1$ |
2.2.749.1 |
$x^{2} - x - 187$ |
$2$ |
[2,0] |
$7\cdot 107$ |
$2$ |
$27.3678643668$ |
$27.367864366808018$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$9.46846488622$ |
2.2.856.1 |
$x^{2} - 214$ |
$2$ |
[2,0] |
$2^{3}\cdot 107$ |
$2$ |
$29.2574776767$ |
$29.257477676655586$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$27.9608415496$ |
2.0.1284.1 |
$x^{2} + 321$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 107$ |
$3$ |
$35.8329457343$ |
$35.832945734337834$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
0 |
$1$ |
2.0.1391.1 |
$x^{2} - x + 348$ |
$2$ |
[0,1] |
$-\,13\cdot 107$ |
$2$ |
$37.2961123979$ |
$37.296112397943034$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[44]$ |
$2$ |
0 |
$1$ |
2.2.1605.1 |
$x^{2} - x - 401$ |
$2$ |
[2,0] |
$3\cdot 5\cdot 107$ |
$3$ |
$40.062451248$ |
$40.06245124802026$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$7.15617602903$ |
2.2.2140.1 |
$x^{2} - 535$ |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 107$ |
$3$ |
$46.2601340249$ |
$46.26013402488151$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$14.9903453435$ |
2.2.2568.1 |
$x^{2} - 642$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 107$ |
$3$ |
$50.6754378373$ |
$50.67543783727971$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$9.35478696885$ |
2.0.3103.1 |
$x^{2} - x + 776$ |
$2$ |
[0,1] |
$-\,29\cdot 107$ |
$2$ |
$55.7045779088$ |
$55.70457790882182$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[20]$ |
$2$ |
0 |
$1$ |
2.2.3317.1 |
$x^{2} - x - 829$ |
$2$ |
[2,0] |
$31\cdot 107$ |
$2$ |
$57.5934023999$ |
$57.59340239992772$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$8.5642675624$ |
2.0.3531.1 |
$x^{2} - x + 883$ |
$2$ |
[0,1] |
$-\,3\cdot 11\cdot 107$ |
$3$ |
$59.422218067$ |
$59.42221806698232$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
2.0.3959.1 |
$x^{2} - x + 990$ |
$2$ |
[0,1] |
$-\,37\cdot 107$ |
$2$ |
$62.920584867$ |
$62.92058486695749$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[68]$ |
$2$ |
0 |
$1$ |
2.0.4280.1 |
$x^{2} + 1070$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 107$ |
$3$ |
$65.4217089352$ |
$65.4217089351845$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 18]$ |
$2$ |
0 |
$1$ |
2.0.4387.1 |
$x^{2} - x + 1097$ |
$2$ |
[0,1] |
$-\,41\cdot 107$ |
$2$ |
$66.2344321331$ |
$66.23443213314356$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
2.2.4601.1 |
$x^{2} - x - 1150$ |
$2$ |
[2,0] |
$43\cdot 107$ |
$2$ |
$67.8306715284$ |
$67.83067152844649$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$75.4372286566$ |
2.0.4708.1 |
$x^{2} + 1177$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 11\cdot 107$ |
$3$ |
$68.6148671936$ |
$68.61486719363377$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
0 |
$1$ |
2.2.5457.1 |
$x^{2} - x - 1364$ |
$2$ |
[2,0] |
$3\cdot 17\cdot 107$ |
$3$ |
$73.8715100699$ |
$73.87151006985034$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$43.1521541971$ |
2.0.5671.1 |
$x^{2} - x + 1418$ |
$2$ |
[0,1] |
$-\,53\cdot 107$ |
$2$ |
$75.3060422543$ |
$75.30604225425739$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[44]$ |
$2$ |
0 |
$1$ |
2.2.5885.1 |
$x^{2} - x - 1471$ |
$2$ |
[2,0] |
$5\cdot 11\cdot 107$ |
$3$ |
$76.713753656$ |
$76.71375365604267$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$6.28599462671$ |
2.0.5992.1 |
$x^{2} + 1498$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 7\cdot 107$ |
$3$ |
$77.4080099215$ |
$77.40800992145451$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
2.0.6099.1 |
$x^{2} - x + 1525$ |
$2$ |
[0,1] |
$-\,3\cdot 19\cdot 107$ |
$3$ |
$78.0960946527$ |
$78.09609465267773$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
2.2.6313.1 |
$x^{2} - x - 1578$ |
$2$ |
[2,0] |
$59\cdot 107$ |
$2$ |
$79.4543894319$ |
$79.45438943192504$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$78.9653957631$ |
2.0.6527.1 |
$x^{2} - x + 1632$ |
$2$ |
[0,1] |
$-\,61\cdot 107$ |
$2$ |
$80.7898508477$ |
$80.78985084773953$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[80]$ |
$2$ |
0 |
$1$ |
2.2.7169.1 |
$x^{2} - x - 1792$ |
$2$ |
[2,0] |
$67\cdot 107$ |
$2$ |
$84.669947443$ |
$84.66994744299774$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$84.7911000612$ |
2.2.7276.1 |
$x^{2} - 1819$ |
$2$ |
[2,0] |
$2^{2}\cdot 17\cdot 107$ |
$3$ |
$85.2994724485$ |
$85.29947244854449$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$39.0178650717$ |
2.0.7383.1 |
$x^{2} - x + 1846$ |
$2$ |
[0,1] |
$-\,3\cdot 23\cdot 107$ |
$3$ |
$85.9243853629$ |
$85.92438536294571$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 28]$ |
$2$ |
0 |
$1$ |
2.2.7597.1 |
$x^{2} - x - 1899$ |
$2$ |
[2,0] |
$71\cdot 107$ |
$2$ |
$87.1607709925$ |
$87.16077099245967$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$40.9139898024$ |
2.0.8132.1 |
$x^{2} + 2033$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 19\cdot 107$ |
$3$ |
$90.1776025408$ |
$90.17760254076397$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$2$ |
0 |
$1$ |
2.2.8988.1 |
$x^{2} - 2247$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 7\cdot 107$ |
$4$ |
$94.8050631559$ |
$94.80506315593065$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$10.5307085823$ |
2.0.9095.1 |
$x^{2} - x + 2274$ |
$2$ |
[0,1] |
$-\,5\cdot 17\cdot 107$ |
$3$ |
$95.3677094199$ |
$95.36770941990795$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 38]$ |
$2$ |
0 |
$1$ |
2.2.9416.1 |
$x^{2} - 2354$ |
$2$ |
[2,0] |
$2^{3}\cdot 11\cdot 107$ |
$3$ |
$97.0360757657$ |
$97.03607576566563$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$31.6145010584$ |
2.0.9523.1 |
$x^{2} - x + 2381$ |
$2$ |
[0,1] |
$-\,89\cdot 107$ |
$2$ |
$97.5858596314$ |
$97.58585963140357$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
0 |
$1$ |
2.2.9737.1 |
$x^{2} - x - 2434$ |
$2$ |
[2,0] |
$7\cdot 13\cdot 107$ |
$3$ |
$98.6762382745$ |
$98.67623827447011$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$33.6742130282$ |
2.0.9844.1 |
$x^{2} + 2461$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 23\cdot 107$ |
$3$ |
$99.2169340385$ |
$99.2169340384997$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 18]$ |
$2$ |
0 |
$1$ |
2.2.10165.1 |
$x^{2} - x - 2541$ |
$2$ |
[2,0] |
$5\cdot 19\cdot 107$ |
$3$ |
$100.821624665$ |
$100.82162466455298$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$34.9661632995$ |
2.0.10807.1 |
$x^{2} - x + 2702$ |
$2$ |
[0,1] |
$-\,101\cdot 107$ |
$2$ |
$103.956721764$ |
$103.95672176439578$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[48]$ |
$2$ |
0 |
$1$ |
2.2.11021.1 |
$x^{2} - x - 2755$ |
$2$ |
[2,0] |
$103\cdot 107$ |
$2$ |
$104.980950653$ |
$104.9809506529637$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[7]$ |
$2$ |
$1$ |
$4.65386963487$ |
2.2.11128.1 |
$x^{2} - 2782$ |
$2$ |
[2,0] |
$2^{3}\cdot 13\cdot 107$ |
$3$ |
$105.489335954$ |
$105.48933595392475$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$20.865245376$ |
2.0.11235.1 |
$x^{2} - x + 2809$ |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 7\cdot 107$ |
$4$ |
$105.995282914$ |
$105.99528291391084$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 6]$ |
$2$ |
0 |
$1$ |
2.2.12305.1 |
$x^{2} - x - 3076$ |
$2$ |
[2,0] |
$5\cdot 23\cdot 107$ |
$3$ |
$110.927904515$ |
$110.92790451459904$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$27.6916230777$ |
2.0.12840.1 |
$x^{2} + 3210$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 5\cdot 107$ |
$4$ |
$113.313723794$ |
$113.31372379372236$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 8]$ |
$2$ |
0 |
$1$ |
2.2.13589.1 |
$x^{2} - x - 3397$ |
$2$ |
[2,0] |
$107\cdot 127$ |
$2$ |
$116.571866246$ |
$116.57186624567696$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$2$ |
$1$ |
$16.3365936283$ |
2.2.14017.1 |
$x^{2} - x - 3504$ |
$2$ |
[2,0] |
$107\cdot 131$ |
$2$ |
$118.393411979$ |
$118.3934119788766$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$148.910361375$ |
2.0.14552.1 |
$x^{2} + 3638$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 17\cdot 107$ |
$3$ |
$120.6316708$ |
$120.63167080000177$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 30]$ |
$2$ |
0 |
$1$ |
2.0.14659.1 |
$x^{2} - x + 3665$ |
$2$ |
[0,1] |
$-\,107\cdot 137$ |
$2$ |
$121.074357318$ |
$121.07435731813736$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[20]$ |
$2$ |
0 |
$1$ |
2.2.14873.1 |
$x^{2} - x - 3718$ |
$2$ |
[2,0] |
$107\cdot 139$ |
$2$ |
$121.9549097$ |
$121.95490970026586$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$83.6589520873$ |
2.0.14980.1 |
$x^{2} + 3745$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 7\cdot 107$ |
$4$ |
$122.392810246$ |
$122.39281024635393$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 6]$ |
$2$ |
0 |
$1$ |
2.0.15087.1 |
$x^{2} - x + 3772$ |
$2$ |
[0,1] |
$-\,3\cdot 47\cdot 107$ |
$3$ |
$122.829149635$ |
$122.82914963476708$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 36]$ |
$2$ |
0 |
$1$ |
2.0.15943.1 |
$x^{2} - x + 3986$ |
$2$ |
[0,1] |
$-\,107\cdot 149$ |
$2$ |
$126.265593096$ |
$126.2655930964568$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[36]$ |
$2$ |
0 |
$1$ |
2.2.16264.1 |
$x^{2} - 4066$ |
$2$ |
[2,0] |
$2^{3}\cdot 19\cdot 107$ |
$3$ |
$127.530388535$ |
$127.53038853543887$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$54.888009778$ |