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 |
2.0.4.1 |
x2 + 1 |
$2$ |
[0,1] |
$-\,2^{2}$ |
$1$ |
$2.0$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$4$ |
$0$ |
$1$ |
2.2.28.1 |
x2 - 7 |
$2$ |
[2,0] |
$2^{2}\cdot 7$ |
$2$ |
$5.29150262213$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$2.76865938331$ |
2.2.60.1 |
x2 - 15 |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 5$ |
$3$ |
$7.74596669241$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$2.0634370689$ |
2.0.68.1 |
x2 + 17 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 17$ |
$2$ |
$8.24621125124$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$0$ |
$1$ |
2.2.92.1 |
x2 - 23 |
$2$ |
[2,0] |
$2^{2}\cdot 23$ |
$2$ |
$9.59166304663$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$3.87076670029$ |
2.2.124.1 |
x2 - 31 |
$2$ |
[2,0] |
$2^{2}\cdot 31$ |
$2$ |
$11.1355287257$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$8.01961268619$ |
2.0.132.1 |
x2 + 33 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 11$ |
$3$ |
$11.4891252931$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$0$ |
$1$ |
2.2.156.1 |
x2 - 39 |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 13$ |
$3$ |
$12.4899959968$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.91162276521$ |
2.0.164.1 |
x2 + 41 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 41$ |
$2$ |
$12.8062484749$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
$0$ |
$1$ |
2.2.188.1 |
x2 - 47 |
$2$ |
[2,0] |
$2^{2}\cdot 47$ |
$2$ |
$13.7113092008$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$4.56423966686$ |
2.2.220.1 |
x2 - 55 |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 11$ |
$3$ |
$14.8323969742$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$5.18175198713$ |
2.0.228.1 |
x2 + 57 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 19$ |
$3$ |
$15.0996688705$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$0$ |
$1$ |
2.0.260.1 |
x2 + 65 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 13$ |
$3$ |
$16.1245154966$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
$0$ |
$1$ |
2.2.284.1 |
x2 - 71 |
$2$ |
[2,0] |
$2^{2}\cdot 71$ |
$2$ |
$16.8522995464$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$8.84793473269$ |
2.0.292.1 |
x2 + 73 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 73$ |
$2$ |
$17.0880074906$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$0$ |
$1$ |
2.2.316.1 |
x2 - 79 |
$2$ |
[2,0] |
$2^{2}\cdot 79$ |
$2$ |
$17.7763888346$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$2$ |
$1$ |
$5.07513475044$ |
2.2.348.1 |
x2 - 87 |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 29$ |
$3$ |
$18.6547581062$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.02503266055$ |
2.0.356.1 |
x2 + 89 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 89$ |
$2$ |
$18.8679622641$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
$0$ |
$1$ |
2.2.380.1 |
x2 - 95 |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 19$ |
$3$ |
$19.4935886896$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.3565444206$ |
2.0.388.1 |
x2 + 97 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 97$ |
$2$ |
$19.6977156036$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$0$ |
$1$ |
2.2.412.1 |
x2 - 103 |
$2$ |
[2,0] |
$2^{2}\cdot 103$ |
$2$ |
$20.2977831302$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$13.0281757673$ |
2.0.420.1 |
x2 + 105 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 5\cdot 7$ |
$4$ |
$20.4939015319$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 2]$ |
$2$ |
$0$ |
$1$ |
2.2.444.1 |
x2 - 111 |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 37$ |
$3$ |
$21.0713075057$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$6.38011966415$ |
2.0.452.1 |
x2 + 113 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 113$ |
$2$ |
$21.2602916255$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
$0$ |
$1$ |
2.2.476.1 |
x2 - 119 |
$2$ |
[2,0] |
$2^{2}\cdot 7\cdot 17$ |
$3$ |
$21.8174242293$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$5.48062156178$ |
2.2.508.1 |
x2 - 127 |
$2$ |
[2,0] |
$2^{2}\cdot 127$ |
$2$ |
$22.5388553392$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$16.0627148562$ |
2.0.516.1 |
x2 + 129 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 43$ |
$3$ |
$22.7156333832$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
$0$ |
$1$ |
2.0.548.1 |
x2 + 137 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 137$ |
$2$ |
$23.4093998214$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
$0$ |
$1$ |
2.2.572.1 |
x2 - 143 |
$2$ |
[2,0] |
$2^{2}\cdot 11\cdot 13$ |
$3$ |
$23.9165214862$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.17631318059$ |
2.0.580.1 |
x2 + 145 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 29$ |
$3$ |
$24.0831891576$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
$0$ |
$1$ |
2.2.604.1 |
x2 - 151 |
$2$ |
[2,0] |
$2^{2}\cdot 151$ |
$2$ |
$24.5764114549$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$21.9634633555$ |
2.2.636.1 |
x2 - 159 |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 53$ |
$3$ |
$25.2190404258$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$7.88155977444$ |
2.0.644.1 |
x2 + 161 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 7\cdot 23$ |
$3$ |
$25.3771550809$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
$0$ |
$1$ |
2.2.668.1 |
x2 - 167 |
$2$ |
[2,0] |
$2^{2}\cdot 167$ |
$2$ |
$25.8456959666$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$5.81710230214$ |
2.0.708.1 |
x2 + 177 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 59$ |
$3$ |
$26.6082693913$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$0$ |
$1$ |
2.2.732.1 |
x2 - 183 |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 61$ |
$3$ |
$27.0554985169$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$6.88141024954$ |
2.0.740.1 |
x2 + 185 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 37$ |
$3$ |
$27.2029410175$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
$0$ |
$1$ |
2.2.764.1 |
x2 - 191 |
$2$ |
[2,0] |
$2^{2}\cdot 191$ |
$2$ |
$27.6405499222$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$16.7052154269$ |
2.0.772.1 |
x2 + 193 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 193$ |
$2$ |
$27.7848879789$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$0$ |
$1$ |
2.2.796.1 |
x2 - 199 |
$2$ |
[2,0] |
$2^{2}\cdot 199$ |
$2$ |
$28.2134719593$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$24.2055021388$ |
2.0.804.1 |
x2 + 201 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 67$ |
$3$ |
$28.3548937575$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
$0$ |
$1$ |
2.0.836.1 |
x2 + 209 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 11\cdot 19$ |
$3$ |
$28.9136645896$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
$0$ |
$1$ |
2.2.860.1 |
x2 - 215 |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 43$ |
$3$ |
$29.3257565972$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.47720765723$ |
2.0.868.1 |
x2 + 217 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 7\cdot 31$ |
$3$ |
$29.4618397253$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
$0$ |
$1$ |
2.2.892.1 |
x2 - 223 |
$2$ |
[2,0] |
$2^{2}\cdot 223$ |
$2$ |
$29.8663690461$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$2$ |
$1$ |
$6.10478824992$ |
2.2.924.1 |
x2 - 231 |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 7\cdot 11$ |
$4$ |
$30.3973683071$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$5.02383723549$ |
2.0.932.1 |
x2 + 233 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 233$ |
$2$ |
$30.5286750449$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
$0$ |
$1$ |
2.2.956.1 |
x2 - 239 |
$2$ |
[2,0] |
$2^{2}\cdot 239$ |
$2$ |
$30.9192496675$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$16.3324196239$ |
2.0.964.1 |
x2 + 241 |
$2$ |
[0,1] |
$-\,2^{2}\cdot 241$ |
$2$ |
$31.0483493925$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
$0$ |
$1$ |
2.2.988.1 |
x2 - 247 |
$2$ |
[2,0] |
$2^{2}\cdot 13\cdot 19$ |
$3$ |
$31.432467291$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$12.046983123$ |