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 |
2.0.4.1 |
$x^{2} + 1$ |
$2$ |
[0,1] |
$-\,2^{2}$ |
$1$ |
$2.0$ |
$2.0$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$4$ |
0 |
$1$ |
2.2.28.1 |
$x^{2} - 7$ |
$2$ |
[2,0] |
$2^{2}\cdot 7$ |
$2$ |
$5.29150262213$ |
$5.291502622129181$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$2.76865938331$ |
2.2.60.1 |
$x^{2} - 15$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 5$ |
$3$ |
$7.74596669241$ |
$7.745966692414834$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$2.0634370689$ |
2.0.68.1 |
$x^{2} + 17$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 17$ |
$2$ |
$8.24621125124$ |
$8.246211251235321$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
0 |
$1$ |
2.2.92.1 |
$x^{2} - 23$ |
$2$ |
[2,0] |
$2^{2}\cdot 23$ |
$2$ |
$9.59166304663$ |
$9.591663046625438$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$3.87076670029$ |
2.2.124.1 |
$x^{2} - 31$ |
$2$ |
[2,0] |
$2^{2}\cdot 31$ |
$2$ |
$11.1355287257$ |
$11.135528725660043$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$8.01961268619$ |
2.0.132.1 |
$x^{2} + 33$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 11$ |
$3$ |
$11.4891252931$ |
$11.489125293076057$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.2.156.1 |
$x^{2} - 39$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 13$ |
$3$ |
$12.4899959968$ |
$12.489995996796797$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.91162276521$ |
2.0.164.1 |
$x^{2} + 41$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 41$ |
$2$ |
$12.8062484749$ |
$12.806248474865697$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
2.2.188.1 |
$x^{2} - 47$ |
$2$ |
[2,0] |
$2^{2}\cdot 47$ |
$2$ |
$13.7113092008$ |
$13.711309200802088$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$4.56423966686$ |
2.2.220.1 |
$x^{2} - 55$ |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 11$ |
$3$ |
$14.8323969742$ |
$14.832396974191326$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$5.18175198713$ |
2.0.228.1 |
$x^{2} + 57$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 19$ |
$3$ |
$15.0996688705$ |
$15.0996688705415$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.0.260.1 |
$x^{2} + 65$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 13$ |
$3$ |
$16.1245154966$ |
$16.1245154965971$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.2.284.1 |
$x^{2} - 71$ |
$2$ |
[2,0] |
$2^{2}\cdot 71$ |
$2$ |
$16.8522995464$ |
$16.852299546352718$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$8.84793473269$ |
2.0.292.1 |
$x^{2} + 73$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 73$ |
$2$ |
$17.0880074906$ |
$17.08800749063506$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
0 |
$1$ |
2.2.316.1 |
$x^{2} - 79$ |
$2$ |
[2,0] |
$2^{2}\cdot 79$ |
$2$ |
$17.7763888346$ |
$17.776388834631177$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$2$ |
$1$ |
$5.07513475044$ |
2.2.348.1 |
$x^{2} - 87$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 29$ |
$3$ |
$18.6547581062$ |
$18.65475810617763$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.02503266055$ |
2.0.356.1 |
$x^{2} + 89$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 89$ |
$2$ |
$18.8679622641$ |
$18.867962264113206$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
0 |
$1$ |
2.2.380.1 |
$x^{2} - 95$ |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 19$ |
$3$ |
$19.4935886896$ |
$19.493588689617926$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.3565444206$ |
2.0.388.1 |
$x^{2} + 97$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 97$ |
$2$ |
$19.6977156036$ |
$19.697715603592208$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
0 |
$1$ |
2.2.412.1 |
$x^{2} - 103$ |
$2$ |
[2,0] |
$2^{2}\cdot 103$ |
$2$ |
$20.2977831302$ |
$20.29778313018444$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$13.0281757673$ |
2.0.420.1 |
$x^{2} + 105$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 5\cdot 7$ |
$4$ |
$20.4939015319$ |
$20.493901531919196$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 2]$ |
$2$ |
0 |
$1$ |
2.2.444.1 |
$x^{2} - 111$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 37$ |
$3$ |
$21.0713075057$ |
$21.071307505705477$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$6.38011966415$ |
2.0.452.1 |
$x^{2} + 113$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 113$ |
$2$ |
$21.2602916255$ |
$21.2602916254693$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
2.2.476.1 |
$x^{2} - 119$ |
$2$ |
[2,0] |
$2^{2}\cdot 7\cdot 17$ |
$3$ |
$21.8174242293$ |
$21.817424229271428$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$5.48062156178$ |
2.2.508.1 |
$x^{2} - 127$ |
$2$ |
[2,0] |
$2^{2}\cdot 127$ |
$2$ |
$22.5388553392$ |
$22.538855339169288$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$16.0627148562$ |
2.0.516.1 |
$x^{2} + 129$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 43$ |
$3$ |
$22.7156333832$ |
$22.715633383201094$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
0 |
$1$ |
2.0.548.1 |
$x^{2} + 137$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 137$ |
$2$ |
$23.4093998214$ |
$23.40939982143925$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
2.2.572.1 |
$x^{2} - 143$ |
$2$ |
[2,0] |
$2^{2}\cdot 11\cdot 13$ |
$3$ |
$23.9165214862$ |
$23.916521486202797$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.17631318059$ |
2.0.580.1 |
$x^{2} + 145$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 29$ |
$3$ |
$24.0831891576$ |
$24.08318915758459$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.2.604.1 |
$x^{2} - 151$ |
$2$ |
[2,0] |
$2^{2}\cdot 151$ |
$2$ |
$24.5764114549$ |
$24.576411454889016$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$21.9634633555$ |
2.2.636.1 |
$x^{2} - 159$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 53$ |
$3$ |
$25.2190404258$ |
$25.219040425836983$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$7.88155977444$ |
2.0.644.1 |
$x^{2} + 161$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 7\cdot 23$ |
$3$ |
$25.3771550809$ |
$25.37715508089904$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
2.2.668.1 |
$x^{2} - 167$ |
$2$ |
[2,0] |
$2^{2}\cdot 167$ |
$2$ |
$25.8456959666$ |
$25.84569596664017$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$5.81710230214$ |
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 |
$1$ |
2.2.732.1 |
$x^{2} - 183$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 61$ |
$3$ |
$27.0554985169$ |
$27.055498516937366$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$6.88141024954$ |
2.0.740.1 |
$x^{2} + 185$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 37$ |
$3$ |
$27.2029410175$ |
$27.202941017470888$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
2.2.764.1 |
$x^{2} - 191$ |
$2$ |
[2,0] |
$2^{2}\cdot 191$ |
$2$ |
$27.6405499222$ |
$27.640549922170507$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$16.7052154269$ |
2.0.772.1 |
$x^{2} + 193$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 193$ |
$2$ |
$27.7848879789$ |
$27.784887978899608$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
0 |
$1$ |
2.2.796.1 |
$x^{2} - 199$ |
$2$ |
[2,0] |
$2^{2}\cdot 199$ |
$2$ |
$28.2134719593$ |
$28.21347195933177$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$24.2055021388$ |
2.0.804.1 |
$x^{2} + 201$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 67$ |
$3$ |
$28.3548937575$ |
$28.35489375751565$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
0 |
$1$ |
2.0.836.1 |
$x^{2} + 209$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 11\cdot 19$ |
$3$ |
$28.9136645896$ |
$28.91366458960192$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
0 |
$1$ |
2.2.860.1 |
$x^{2} - 215$ |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 43$ |
$3$ |
$29.3257565972$ |
$29.32575659723036$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.47720765723$ |
2.0.868.1 |
$x^{2} + 217$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 7\cdot 31$ |
$3$ |
$29.4618397253$ |
$29.46183972531247$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.2.892.1 |
$x^{2} - 223$ |
$2$ |
[2,0] |
$2^{2}\cdot 223$ |
$2$ |
$29.8663690461$ |
$29.866369046136157$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$2$ |
$1$ |
$6.10478824992$ |
2.2.924.1 |
$x^{2} - 231$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 7\cdot 11$ |
$4$ |
$30.3973683071$ |
$30.397368307141328$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$5.02383723549$ |
2.0.932.1 |
$x^{2} + 233$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 233$ |
$2$ |
$30.5286750449$ |
$30.528675044947494$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
0 |
$1$ |
2.2.956.1 |
$x^{2} - 239$ |
$2$ |
[2,0] |
$2^{2}\cdot 239$ |
$2$ |
$30.9192496675$ |
$30.919249667480614$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$16.3324196239$ |
2.0.964.1 |
$x^{2} + 241$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 241$ |
$2$ |
$31.0483493925$ |
$31.04834939252005$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
0 |
$1$ |
2.2.988.1 |
$x^{2} - 247$ |
$2$ |
[2,0] |
$2^{2}\cdot 13\cdot 19$ |
$3$ |
$31.432467291$ |
$31.432467291003423$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$12.046983123$ |