Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
2.2.5.1 |
$ x^{2} - x - 1 $ |
$2$ |
[2,0] |
$5$ |
$1$ |
$2.2360679775$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$0.48121182506$ |
2.0.20.1 |
$ x^{2} + 5 $ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5$ |
$2$ |
$4.472135955$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$0$ |
$1$ |
2.0.55.1 |
$ x^{2} - x + 14 $ |
$2$ |
[0,1] |
$-\,5\cdot 11$ |
$2$ |
$7.4161984871$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$0$ |
$1$ |
2.0.95.1 |
$ x^{2} - x + 24 $ |
$2$ |
[0,1] |
$-\,5\cdot 19$ |
$2$ |
$9.74679434481$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
$0$ |
$1$ |
2.2.105.1 |
$ x^{2} - x - 26 $ |
$2$ |
[2,0] |
$3\cdot 5\cdot 7$ |
$3$ |
$10.246950766$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.40657049308$ |
2.0.120.1 |
$ x^{2} + 30 $ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 5$ |
$3$ |
$10.9544511501$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$0$ |
$1$ |
2.2.120.1 |
$ x^{2} - 30 $ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 5$ |
$3$ |
$10.9544511501$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.08896990484$ |
2.2.145.1 |
$ x^{2} - x - 36 $ |
$2$ |
[2,0] |
$5\cdot 29$ |
$2$ |
$12.0415945788$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$3.1797854377$ |
2.0.155.1 |
$ x^{2} - x + 39 $ |
$2$ |
[0,1] |
$-\,5\cdot 31$ |
$2$ |
$12.449899598$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$0$ |
$1$ |
2.0.195.1 |
$ x^{2} - x + 49 $ |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 13$ |
$3$ |
$13.9642400438$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$0$ |
$1$ |
2.2.205.1 |
$ x^{2} - x - 51 $ |
$2$ |
[2,0] |
$5\cdot 41$ |
$2$ |
$14.3178210633$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.76065884353$ |
2.2.220.1 |
$ x^{2} - 55 $ |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 11$ |
$3$ |
$14.8323969742$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$5.18175198713$ |
2.0.255.1 |
$ x^{2} - x + 64 $ |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 17$ |
$3$ |
$15.9687194227$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
$0$ |
$1$ |
2.0.280.1 |
$ x^{2} + 70 $ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 7$ |
$3$ |
$16.7332005307$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$0$ |
$1$ |
2.2.280.1 |
$ x^{2} - 70 $ |
$2$ |
[2,0] |
$2^{3}\cdot 5\cdot 7$ |
$3$ |
$16.7332005307$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$6.21859615148$ |
2.0.295.1 |
$ x^{2} - x + 74 $ |
$2$ |
[0,1] |
$-\,5\cdot 59$ |
$2$ |
$17.1755640373$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
$0$ |
$1$ |
2.2.305.1 |
$ x^{2} - x - 76 $ |
$2$ |
[2,0] |
$5\cdot 61$ |
$2$ |
$17.4642491966$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$6.88550862454$ |
2.2.345.1 |
$ x^{2} - x - 86 $ |
$2$ |
[2,0] |
$3\cdot 5\cdot 23$ |
$3$ |
$18.574175621$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$9.51207326218$ |
2.0.355.1 |
$ x^{2} - x + 89 $ |
$2$ |
[0,1] |
$-\,5\cdot 71$ |
$2$ |
$18.8414436814$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$0$ |
$1$ |
2.2.380.1 |
$ x^{2} - 95 $ |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 19$ |
$3$ |
$19.4935886896$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.3565444206$ |
2.0.395.1 |
$ x^{2} - x + 99 $ |
$2$ |
[0,1] |
$-\,5\cdot 79$ |
$2$ |
$19.8746069144$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
$0$ |
$1$ |
2.0.420.1 |
$ x^{2} + 105 $ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 5\cdot 7$ |
$4$ |
$20.4939015319$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 2]$ |
$2$ |
$0$ |
$1$ |
2.2.445.1 |
$ x^{2} - x - 111 $ |
$2$ |
[2,0] |
$5\cdot 89$ |
$2$ |
$21.0950231097$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$3.04678233722$ |
2.0.455.1 |
$ x^{2} - x + 114 $ |
$2$ |
[0,1] |
$-\,5\cdot 7\cdot 13$ |
$3$ |
$21.3307290077$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
$0$ |
$1$ |
2.2.505.1 |
$ x^{2} - x - 126 $ |
$2$ |
[2,0] |
$5\cdot 101$ |
$2$ |
$22.4722050542$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$7.38894571564$ |
2.0.520.1 |
$ x^{2} + 130 $ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 13$ |
$3$ |
$22.803508502$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$0$ |
$1$ |
2.2.520.1 |
$ x^{2} - 130 $ |
$2$ |
[2,0] |
$2^{3}\cdot 5\cdot 13$ |
$3$ |
$22.803508502$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$4.73627538627$ |
2.2.545.1 |
$ x^{2} - x - 136 $ |
$2$ |
[2,0] |
$5\cdot 109$ |
$2$ |
$23.3452350599$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$8.27435694175$ |
2.0.555.1 |
$ x^{2} - x + 139 $ |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 37$ |
$3$ |
$23.5584379788$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$0$ |
$1$ |
2.0.580.1 |
$ x^{2} + 145 $ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 29$ |
$3$ |
$24.0831891576$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
$0$ |
$1$ |
2.0.595.1 |
$ x^{2} - x + 149 $ |
$2$ |
[0,1] |
$-\,5\cdot 7\cdot 17$ |
$3$ |
$24.3926218353$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$0$ |
$1$ |
2.2.620.1 |
$ x^{2} - 155 $ |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 31$ |
$3$ |
$24.899799196$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$6.21059604481$ |
2.2.645.1 |
$ x^{2} - x - 161 $ |
$2$ |
[2,0] |
$3\cdot 5\cdot 43$ |
$3$ |
$25.3968501984$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.84412508057$ |
2.0.655.1 |
$ x^{2} - x + 164 $ |
$2$ |
[0,1] |
$-\,5\cdot 131$ |
$2$ |
$25.5929677841$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
$0$ |
$1$ |
2.0.680.1 |
$ x^{2} + 170 $ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 17$ |
$3$ |
$26.0768096208$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
$0$ |
$1$ |
2.2.680.1 |
$ x^{2} - 170 $ |
$2$ |
[2,0] |
$2^{3}\cdot 5\cdot 17$ |
$3$ |
$26.0768096208$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$3.25957255626$ |
2.0.695.1 |
$ x^{2} - x + 174 $ |
$2$ |
[0,1] |
$-\,5\cdot 139$ |
$2$ |
$26.3628526529$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[24]$ |
$2$ |
$0$ |
$1$ |
2.2.705.1 |
$ x^{2} - x - 176 $ |
$2$ |
[2,0] |
$3\cdot 5\cdot 47$ |
$3$ |
$26.5518360947$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$13.0696416949$ |
2.2.745.1 |
$ x^{2} - x - 186 $ |
$2$ |
[2,0] |
$5\cdot 149$ |
$2$ |
$27.2946881279$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$17.0556781753$ |
2.0.755.1 |
$ x^{2} - x + 189 $ |
$2$ |
[0,1] |
$-\,5\cdot 151$ |
$2$ |
$27.4772633281$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
$0$ |
$1$ |
2.2.780.1 |
$ x^{2} - 195 $ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 5\cdot 13$ |
$4$ |
$27.9284800875$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$3.33092655264$ |
2.0.795.1 |
$ x^{2} - x + 199 $ |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 53$ |
$3$ |
$28.1957443597$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$0$ |
$1$ |
2.2.805.1 |
$ x^{2} - x - 201 $ |
$2$ |
[2,0] |
$5\cdot 7\cdot 23$ |
$3$ |
$28.3725219182$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$7.27724724903$ |
2.0.820.1 |
$ x^{2} + 205 $ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 41$ |
$3$ |
$28.6356421266$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
$0$ |
$1$ |
2.0.895.1 |
$ x^{2} - x + 224 $ |
$2$ |
[0,1] |
$-\,5\cdot 179$ |
$2$ |
$29.9165506033$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$2$ |
$0$ |
$1$ |
2.2.905.1 |
$ x^{2} - x - 226 $ |
$2$ |
[2,0] |
$5\cdot 181$ |
$2$ |
$30.083217913$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$6.58202322055$ |
2.0.920.1 |
$ x^{2} + 230 $ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 23$ |
$3$ |
$30.3315017762$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
$0$ |
$1$ |
2.2.920.1 |
$ x^{2} - 230 $ |
$2$ |
[2,0] |
$2^{3}\cdot 5\cdot 23$ |
$3$ |
$30.3315017762$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$5.20397649612$ |
2.0.955.1 |
$ x^{2} - x + 239 $ |
$2$ |
[0,1] |
$-\,5\cdot 191$ |
$2$ |
$30.9030742807$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$0$ |
$1$ |
2.0.995.1 |
$ x^{2} - x + 249 $ |
$2$ |
[0,1] |
$-\,5\cdot 199$ |
$2$ |
$31.5436205912$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
$0$ |
$1$ |