The results below are complete, since the LMFDB contains all number fields with absolute discriminant at most 1656109
| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Narrow class group |
Unit group torsion |
Unit group rank |
Regulator |
Unit signature rank |
Max $p$ |
| 2.2.10001.1 |
$x^{2} - x - 2500$ |
$2$ |
(2, 0) |
$73\cdot 137$ |
$2$ |
$100.004999875$ |
$100.00499987500625$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
$1$ |
$5.29834236561$ |
$2$ |
$137$ |
| 2.2.10005.1 |
$x^{2} - x - 2501$ |
$2$ |
(2, 0) |
$3\cdot 5\cdot 23\cdot 29$ |
$4$ |
$100.024996876$ |
$100.024996875781$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$1$ |
$8.9874467738$ |
$1$ |
$29$ |
| 2.2.10009.1 |
$x^{2} - x - 2502$ |
$2$ |
(2, 0) |
$10009$ |
$1$ |
$100.04498988$ |
$100.04498987955368$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
trivial |
$2$ |
$1$ |
$161.313097087$ |
$2$ |
$10009$ |
| 2.2.10012.1 |
$x^{2} - 2503$ |
$2$ |
(2, 0) |
$2^{2}\cdot 2503$ |
$2$ |
$100.059982011$ |
$100.05998201079191$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$64.050753325$ |
$1$ |
$2503$ |
| 2.2.10013.1 |
$x^{2} - x - 2503$ |
$2$ |
(2, 0) |
$17\cdot 19\cdot 31$ |
$3$ |
$100.064978889$ |
$100.0649788887201$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$11.6833178175$ |
$1$ |
$31$ |
| 2.2.10021.1 |
$x^{2} - x - 2505$ |
$2$ |
(2, 0) |
$11\cdot 911$ |
$2$ |
$100.104944933$ |
$100.1049449328054$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$70.5402836511$ |
$1$ |
$911$ |
| 2.2.10024.1 |
$x^{2} - 2506$ |
$2$ |
(2, 0) |
$2^{3}\cdot 7\cdot 179$ |
$3$ |
$100.119928086$ |
$100.11992808627062$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$51.3738105116$ |
$1$ |
$179$ |
| 2.2.10028.1 |
$x^{2} - 2507$ |
$2$ |
(2, 0) |
$2^{2}\cdot 23\cdot 109$ |
$3$ |
$100.139902137$ |
$100.13990213696037$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$16.3706181048$ |
$1$ |
$109$ |
| 2.2.10029.1 |
$x^{2} - x - 2507$ |
$2$ |
(2, 0) |
$3\cdot 3343$ |
$2$ |
$100.144895027$ |
$100.14489502715553$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$39.1778380927$ |
$1$ |
$3343$ |
| 2.2.10033.1 |
$x^{2} - x - 2508$ |
$2$ |
(2, 0) |
$79\cdot 127$ |
$2$ |
$100.164864099$ |
$100.16486409914407$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$157.397954765$ |
$1$ |
$127$ |
| 2.2.10037.1 |
$x^{2} - x - 2509$ |
$2$ |
(2, 0) |
$10037$ |
$1$ |
$100.184829191$ |
$100.18482919085105$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
trivial |
$2$ |
$1$ |
$22.5621477136$ |
$2$ |
$10037$ |
| 2.2.10040.1 |
$x^{2} - 2510$ |
$2$ |
(2, 0) |
$2^{3}\cdot 5\cdot 251$ |
$3$ |
$100.199800399$ |
$100.1998003990028$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$[2, 6]$ |
$2$ |
$1$ |
$6.90975228563$ |
$1$ |
$251$ |
| 2.2.10041.1 |
$x^{2} - x - 2510$ |
$2$ |
(2, 0) |
$3\cdot 3347$ |
$2$ |
$100.204790305$ |
$100.20479030465559$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$117.974144002$ |
$1$ |
$3347$ |
| 2.2.10049.1 |
$x^{2} - x - 2512$ |
$2$ |
(2, 0) |
$13\cdot 773$ |
$2$ |
$100.244700608$ |
$100.24470060806208$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$52.4732994248$ |
$2$ |
$773$ |
| 2.2.10056.1 |
$x^{2} - 2514$ |
$2$ |
(2, 0) |
$2^{3}\cdot 3\cdot 419$ |
$3$ |
$100.279609094$ |
$100.2796090937734$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$33.6258080541$ |
$1$ |
$419$ |
| 2.2.10057.1 |
$x^{2} - x - 2514$ |
$2$ |
(2, 0) |
$89\cdot 113$ |
$2$ |
$100.284595028$ |
$100.2845950283492$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$58.7346957603$ |
$2$ |
$113$ |
| 2.2.10060.1 |
$x^{2} - 2515$ |
$2$ |
(2, 0) |
$2^{2}\cdot 5\cdot 503$ |
$3$ |
$100.299551345$ |
$100.29955134495867$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$44.1374680493$ |
$1$ |
$503$ |
| 2.2.10061.1 |
$x^{2} - x - 2515$ |
$2$ |
(2, 0) |
$10061$ |
$1$ |
$100.304536288$ |
$100.30453628824571$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
trivial |
$2$ |
$1$ |
$31.7098576363$ |
$2$ |
$10061$ |
| 2.2.10065.1 |
$x^{2} - x - 2516$ |
$2$ |
(2, 0) |
$3\cdot 5\cdot 11\cdot 61$ |
$4$ |
$100.324473584$ |
$100.32447358446493$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$1$ |
$23.8379254937$ |
$1$ |
$61$ |
| 2.2.10069.1 |
$x^{2} - x - 2517$ |
$2$ |
(2, 0) |
$10069$ |
$1$ |
$100.344406919$ |
$100.34440691936945$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$[3]$ |
$2$ |
$1$ |
$18.2888602983$ |
$2$ |
$10069$ |
| 2.2.10072.1 |
$x^{2} - 2518$ |
$2$ |
(2, 0) |
$2^{3}\cdot 1259$ |
$2$ |
$100.359354322$ |
$100.35935432235502$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$55.5102223204$ |
$1$ |
$1259$ |
| 2.2.10073.1 |
$x^{2} - x - 2518$ |
$2$ |
(2, 0) |
$7\cdot 1439$ |
$2$ |
$100.364336295$ |
$100.36433629531956$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$49.6355623855$ |
$1$ |
$1439$ |
| 2.2.10076.1 |
$x^{2} - 2519$ |
$2$ |
(2, 0) |
$2^{2}\cdot 11\cdot 229$ |
$3$ |
$100.379280731$ |
$100.37928073063684$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$26.4850732919$ |
$1$ |
$229$ |
| 2.2.10077.1 |
$x^{2} - x - 2519$ |
$2$ |
(2, 0) |
$3\cdot 3359$ |
$2$ |
$100.384261715$ |
$100.38426171467319$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$[6]$ |
$2$ |
$1$ |
$13.2493008277$ |
$1$ |
$3359$ |
| 2.2.10081.1 |
$x^{2} - x - 2520$ |
$2$ |
(2, 0) |
$17\cdot 593$ |
$2$ |
$100.40418318$ |
$100.40418317978589$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
$1$ |
$49.0219412783$ |
$2$ |
$593$ |
| 2.2.10085.1 |
$x^{2} - x - 2521$ |
$2$ |
(2, 0) |
$5\cdot 2017$ |
$2$ |
$100.424100693$ |
$100.42410069301094$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2]$ |
$2$ |
$1$ |
$15.2267460374$ |
$2$ |
$2017$ |
| 2.2.10088.1 |
$x^{2} - 2522$ |
$2$ |
(2, 0) |
$2^{3}\cdot 13\cdot 97$ |
$3$ |
$100.439036236$ |
$100.43903623591775$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$8.32312294656$ |
$2$ |
$97$ |
| 2.2.10093.1 |
$x^{2} - x - 2523$ |
$2$ |
(2, 0) |
$10093$ |
$1$ |
$100.463923873$ |
$100.46392387319938$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
trivial |
$2$ |
$1$ |
$28.8701552115$ |
$2$ |
$10093$ |
| 2.2.10097.1 |
$x^{2} - x - 2524$ |
$2$ |
(2, 0) |
$23\cdot 439$ |
$2$ |
$100.483829545$ |
$100.48382954485761$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$56.0782986713$ |
$1$ |
$439$ |
| 2.2.10101.1 |
$x^{2} - x - 2525$ |
$2$ |
(2, 0) |
$3\cdot 7\cdot 13\cdot 37$ |
$4$ |
$100.503731274$ |
$100.50373127401788$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$1$ |
$10.8943290153$ |
$1$ |
$37$ |
| 2.2.10104.1 |
$x^{2} - 2526$ |
$2$ |
(2, 0) |
$2^{3}\cdot 3\cdot 421$ |
$3$ |
$100.518654985$ |
$100.5186549850325$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$23.4879607152$ |
$1$ |
$421$ |
| 2.2.10105.1 |
$x^{2} - x - 2526$ |
$2$ |
(2, 0) |
$5\cdot 43\cdot 47$ |
$3$ |
$100.523629063$ |
$100.5236290630218$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$84.1934388108$ |
$1$ |
$47$ |
| 2.2.10109.1 |
$x^{2} - x - 2527$ |
$2$ |
(2, 0) |
$11\cdot 919$ |
$2$ |
$100.543522914$ |
$100.54352291420865$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$35.482710675$ |
$1$ |
$919$ |
| 2.2.10113.1 |
$x^{2} - x - 2528$ |
$2$ |
(2, 0) |
$3\cdot 3371$ |
$2$ |
$100.56341283$ |
$100.56341282991544$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$98.7077603333$ |
$1$ |
$3371$ |
| 2.2.10117.1 |
$x^{2} - x - 2529$ |
$2$ |
(2, 0) |
$67\cdot 151$ |
$2$ |
$100.583298812$ |
$100.58329881247681$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[7]$ |
$[14]$ |
$2$ |
$1$ |
$7.78904023005$ |
$1$ |
$151$ |
| 2.2.10120.1 |
$x^{2} - 2530$ |
$2$ |
(2, 0) |
$2^{3}\cdot 5\cdot 11\cdot 23$ |
$4$ |
$100.59821072$ |
$100.59821071967433$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$1$ |
$14.7392844212$ |
$1$ |
$23$ |
| 2.2.10121.1 |
$x^{2} - x - 2530$ |
$2$ |
(2, 0) |
$29\cdot 349$ |
$2$ |
$100.603180864$ |
$100.60318086422517$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$39.9886666158$ |
$1$ |
$349$ |
| 2.2.10124.1 |
$x^{2} - 2531$ |
$2$ |
(2, 0) |
$2^{2}\cdot 2531$ |
$2$ |
$100.618089825$ |
$100.61808982484213$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$68.7304889469$ |
$1$ |
$2531$ |
| 2.2.10129.1 |
$x^{2} - x - 2532$ |
$2$ |
(2, 0) |
$7\cdot 1447$ |
$2$ |
$100.642933185$ |
$100.6429331846007$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$175.716850432$ |
$1$ |
$1447$ |
| 2.2.10133.1 |
$x^{2} - x - 2533$ |
$2$ |
(2, 0) |
$10133$ |
$1$ |
$100.662803458$ |
$100.66280345788111$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
trivial |
$2$ |
$1$ |
$21.9549907963$ |
$2$ |
$10133$ |
| 2.2.10136.1 |
$x^{2} - 2534$ |
$2$ |
(2, 0) |
$2^{3}\cdot 7\cdot 181$ |
$3$ |
$100.677703589$ |
$100.67770358922576$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$30.6892935488$ |
$1$ |
$181$ |
| 2.2.10137.1 |
$x^{2} - x - 2534$ |
$2$ |
(2, 0) |
$3\cdot 31\cdot 109$ |
$3$ |
$100.68266981$ |
$100.68266980965493$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[2, 4]$ |
$2$ |
$1$ |
$23.0114918352$ |
$1$ |
$109$ |
| 2.2.10141.1 |
$x^{2} - x - 2535$ |
$2$ |
(2, 0) |
$10141$ |
$1$ |
$100.702532242$ |
$100.70253224224304$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
trivial |
$2$ |
$1$ |
$57.6764800147$ |
$2$ |
$10141$ |
| 2.2.10145.1 |
$x^{2} - x - 2536$ |
$2$ |
(2, 0) |
$5\cdot 2029$ |
$2$ |
$100.722390758$ |
$100.72239075796404$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
$1$ |
$24.6460670258$ |
$2$ |
$2029$ |
| 2.2.10149.1 |
$x^{2} - x - 2537$ |
$2$ |
(2, 0) |
$3\cdot 17\cdot 199$ |
$3$ |
$100.742245359$ |
$100.74224535913422$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$18.4676589342$ |
$1$ |
$199$ |
| 2.2.10153.1 |
$x^{2} - x - 2538$ |
$2$ |
(2, 0) |
$11\cdot 13\cdot 71$ |
$3$ |
$100.762096048$ |
$100.7620960480676$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$58.8523564229$ |
$1$ |
$71$ |
| 2.2.10156.1 |
$x^{2} - 2539$ |
$2$ |
(2, 0) |
$2^{2}\cdot 2539$ |
$2$ |
$100.776981499$ |
$100.77698149875297$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$93.1098756937$ |
$1$ |
$2539$ |
| 2.2.10157.1 |
$x^{2} - x - 2539$ |
$2$ |
(2, 0) |
$7\cdot 1451$ |
$2$ |
$100.781942827$ |
$100.78194282707592$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$28.7314269208$ |
$1$ |
$1451$ |
| 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) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$34.9661632995$ |
$1$ |
$107$ |
| 2.2.10168.1 |
$x^{2} - 2542$ |
$2$ |
(2, 0) |
$2^{3}\cdot 31\cdot 41$ |
$3$ |
$100.836501328$ |
$100.83650132764424$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[2, 4]$ |
$2$ |
$1$ |
$19.6781617024$ |
$1$ |
$41$ |
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