| 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 $p$ |
| 2.2.17.1 |
$x^{2} - x - 4$ |
$2$ |
(2, 0) |
$17$ |
$1$ |
$4.12310562562$ |
$4.123105625617661$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
trivial |
$2$ |
$1$ |
$2.09471254726$ |
$2$ |
|
| 2.0.68.1 |
$x^{2} + 17$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 17$ |
$2$ |
$8.24621125124$ |
$8.246211251235321$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.0.136.1 |
$x^{2} + 34$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 17$ |
$2$ |
$11.6619037897$ |
$11.661903789690601$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.2.136.1 |
$x^{2} - 34$ |
$2$ |
(2, 0) |
$2^{3}\cdot 17$ |
$2$ |
$11.6619037897$ |
$11.661903789690601$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$4.24829109791$ |
$1$ |
|
| 2.2.221.1 |
$x^{2} - x - 55$ |
$2$ |
(2, 0) |
$13\cdot 17$ |
$2$ |
$14.8660687473$ |
$14.866068747318506$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$2.70357583093$ |
$1$ |
|
| 2.0.255.1 |
$x^{2} - x + 64$ |
$2$ |
(0, 1) |
$-\,3\cdot 5\cdot 17$ |
$3$ |
$15.9687194227$ |
$15.968719422671311$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.0.323.1 |
$x^{2} - x + 81$ |
$2$ |
(0, 1) |
$-\,17\cdot 19$ |
$2$ |
$17.9722007556$ |
$17.97220075561143$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.2.357.1 |
$x^{2} - x - 89$ |
$2$ |
(2, 0) |
$3\cdot 7\cdot 17$ |
$3$ |
$18.8944436277$ |
$18.894443627691185$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$2.94165731465$ |
$1$ |
|
| 2.2.561.1 |
$x^{2} - x - 140$ |
$2$ |
(2, 0) |
$3\cdot 11\cdot 17$ |
$3$ |
$23.6854385647$ |
$23.68543856465402$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$13.8600727492$ |
$1$ |
|
| 2.0.595.1 |
$x^{2} - x + 149$ |
$2$ |
(0, 1) |
$-\,5\cdot 7\cdot 17$ |
$3$ |
$24.3926218353$ |
$24.392621835300936$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.0.731.1 |
$x^{2} - x + 183$ |
$2$ |
(0, 1) |
$-\,17\cdot 43$ |
$2$ |
$27.0370116692$ |
$27.03701166919155$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.0.799.1 |
$x^{2} - x + 200$ |
$2$ |
(0, 1) |
$-\,17\cdot 47$ |
$2$ |
$28.2665880502$ |
$28.26658805020514$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.0.884.1 |
$x^{2} + 221$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 13\cdot 17$ |
$3$ |
$29.7321374946$ |
$29.732137494637012$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.2.901.1 |
$x^{2} - x - 225$ |
$2$ |
(2, 0) |
$17\cdot 53$ |
$2$ |
$30.0166620396$ |
$30.01666203960727$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
$1$ |
$4.09462222433$ |
$2$ |
|
| 2.0.935.1 |
$x^{2} - x + 234$ |
$2$ |
(0, 1) |
$-\,5\cdot 11\cdot 17$ |
$3$ |
$30.5777697028$ |
$30.577769702841312$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$[2, 14]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.0.1003.1 |
$x^{2} - x + 251$ |
$2$ |
(0, 1) |
$-\,17\cdot 59$ |
$2$ |
$31.6701752442$ |
$31.670175244226233$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.2.1020.1 |
$x^{2} - 255$ |
$2$ |
(2, 0) |
$2^{2}\cdot 3\cdot 5\cdot 17$ |
$4$ |
$31.9374388453$ |
$31.937438845342623$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$1$ |
$3.46475790668$ |
$1$ |
|
| 2.0.1139.1 |
$x^{2} - x + 285$ |
$2$ |
(0, 1) |
$-\,17\cdot 67$ |
$2$ |
$33.7490740614$ |
$33.74907406137241$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$[16]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.2.1173.1 |
$x^{2} - x - 293$ |
$2$ |
(2, 0) |
$3\cdot 17\cdot 23$ |
$3$ |
$34.2490875791$ |
$34.249087579087416$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$5.61311478629$ |
$1$ |
|
| 2.2.1292.1 |
$x^{2} - 323$ |
$2$ |
(2, 0) |
$2^{2}\cdot 17\cdot 19$ |
$3$ |
$35.9444015112$ |
$35.94440151122286$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[2, 4]$ |
$2$ |
$1$ |
$3.58274643892$ |
$1$ |
|
| 2.2.1309.1 |
$x^{2} - x - 327$ |
$2$ |
(2, 0) |
$7\cdot 11\cdot 17$ |
$3$ |
$36.1801050303$ |
$36.180105030251084$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$11.670911637$ |
$1$ |
|
| 2.0.1411.1 |
$x^{2} - x + 353$ |
$2$ |
(0, 1) |
$-\,17\cdot 83$ |
$2$ |
$37.563279942$ |
$37.5632799419859$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[4]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.0.1428.1 |
$x^{2} + 357$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 7\cdot 17$ |
$4$ |
$37.7888872554$ |
$37.78888725538237$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 2]$ |
$[2, 2, 2]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.0.1479.1 |
$x^{2} - x + 370$ |
$2$ |
(0, 1) |
$-\,3\cdot 17\cdot 29$ |
$3$ |
$38.4577690461$ |
$38.45776904605882$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$[2, 14]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.2.1513.1 |
$x^{2} - x - 378$ |
$2$ |
(2, 0) |
$17\cdot 89$ |
$2$ |
$38.8973006776$ |
$38.897300677553446$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$24.5201248395$ |
$1$ |
|
| 2.2.1581.1 |
$x^{2} - x - 395$ |
$2$ |
(2, 0) |
$3\cdot 17\cdot 31$ |
$3$ |
$39.7617907041$ |
$39.761790704142086$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$6.72743029059$ |
$1$ |
|
| 2.2.1717.1 |
$x^{2} - x - 429$ |
$2$ |
(2, 0) |
$17\cdot 101$ |
$2$ |
$41.4366987102$ |
$41.43669871020132$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$11.54661166$ |
$1$ |
|
| 2.0.1751.1 |
$x^{2} - x + 438$ |
$2$ |
(0, 1) |
$-\,17\cdot 103$ |
$2$ |
$41.8449519058$ |
$41.84495190581536$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[48]$ |
$[48]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.0.1768.1 |
$x^{2} + 442$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 13\cdot 17$ |
$3$ |
$42.0475920833$ |
$42.04759208325728$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.2.1768.1 |
$x^{2} - 442$ |
$2$ |
(2, 0) |
$2^{3}\cdot 13\cdot 17$ |
$3$ |
$42.0475920833$ |
$42.04759208325728$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$1$ |
$3.73823603026$ |
$2$ |
|
| 2.0.1887.1 |
$x^{2} - x + 472$ |
$2$ |
(0, 1) |
$-\,3\cdot 17\cdot 37$ |
$3$ |
$43.4396132579$ |
$43.439613257946945$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$[2, 10]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.0.1955.1 |
$x^{2} - x + 489$ |
$2$ |
(0, 1) |
$-\,5\cdot 17\cdot 23$ |
$3$ |
$44.2153819389$ |
$44.21538193886829$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.0.2040.1 |
$x^{2} + 510$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 5\cdot 17$ |
$4$ |
$45.1663591625$ |
$45.16635916254486$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 4]$ |
$[2, 2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.2.2040.1 |
$x^{2} - 510$ |
$2$ |
(2, 0) |
$2^{3}\cdot 3\cdot 5\cdot 17$ |
$4$ |
$45.1663591625$ |
$45.16635916254486$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$1$ |
$6.29526259733$ |
$1$ |
|
| 2.0.2091.1 |
$x^{2} - x + 523$ |
$2$ |
(0, 1) |
$-\,3\cdot 17\cdot 41$ |
$3$ |
$45.7274534607$ |
$45.727453460694704$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.0.2159.1 |
$x^{2} - x + 540$ |
$2$ |
(0, 1) |
$-\,17\cdot 127$ |
$2$ |
$46.465040622$ |
$46.46504062195577$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[60]$ |
$[60]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.0.2244.1 |
$x^{2} + 561$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 11\cdot 17$ |
$4$ |
$47.3708771293$ |
$47.37087712930804$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 4]$ |
$[2, 2, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.2.2329.1 |
$x^{2} - x - 582$ |
$2$ |
(2, 0) |
$17\cdot 137$ |
$2$ |
$48.2597140481$ |
$48.25971404805462$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[4]$ |
$2$ |
$1$ |
$35.2998666098$ |
$1$ |
|
| 2.2.2380.1 |
$x^{2} - 595$ |
$2$ |
(2, 0) |
$2^{2}\cdot 5\cdot 7\cdot 17$ |
$4$ |
$48.7852436706$ |
$48.78524367060187$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$1$ |
$10.5194296615$ |
$1$ |
|
| 2.2.2465.1 |
$x^{2} - x - 616$ |
$2$ |
(2, 0) |
$5\cdot 17\cdot 29$ |
$3$ |
$49.6487663492$ |
$49.64876634922564$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$11.1333619946$ |
$2$ |
|
| 2.2.2533.1 |
$x^{2} - x - 633$ |
$2$ |
(2, 0) |
$17\cdot 149$ |
$2$ |
$50.3289181286$ |
$50.32891812864648$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[8]$ |
$2$ |
$1$ |
$5.0172359762$ |
$1$ |
|
| 2.0.2567.1 |
$x^{2} - x + 642$ |
$2$ |
(0, 1) |
$-\,17\cdot 151$ |
$2$ |
$50.6655701636$ |
$50.665570163573605$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[44]$ |
$[44]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.0.2584.1 |
$x^{2} + 646$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 17\cdot 19$ |
$3$ |
$50.8330601086$ |
$50.83306010855534$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.2.2584.1 |
$x^{2} - 646$ |
$2$ |
(2, 0) |
$2^{3}\cdot 17\cdot 19$ |
$3$ |
$50.8330601086$ |
$50.83306010855534$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[2, 8]$ |
$2$ |
$1$ |
$6.41345626971$ |
$1$ |
|
| 2.0.2635.1 |
$x^{2} - x + 659$ |
$2$ |
(0, 1) |
$-\,5\cdot 17\cdot 31$ |
$3$ |
$51.3322510708$ |
$51.332251070842396$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.2.2669.1 |
$x^{2} - x - 667$ |
$2$ |
(2, 0) |
$17\cdot 157$ |
$2$ |
$51.6623654124$ |
$51.66236541235796$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[8]$ |
$2$ |
$1$ |
$5.04338349101$ |
$1$ |
|
| 2.2.2737.1 |
$x^{2} - x - 684$ |
$2$ |
(2, 0) |
$7\cdot 17\cdot 23$ |
$3$ |
$52.3163454381$ |
$52.316345438113316$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$33.6907213843$ |
$1$ |
|
| 2.0.2856.1 |
$x^{2} + 714$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 7\cdot 17$ |
$4$ |
$53.4415568635$ |
$53.44155686354955$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 6]$ |
$[2, 2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
|
| 2.2.2856.1 |
$x^{2} - 714$ |
$2$ |
(2, 0) |
$2^{3}\cdot 3\cdot 7\cdot 17$ |
$4$ |
$53.4415568635$ |
$53.44155686354955$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$1$ |
$9.01554127891$ |
$1$ |
|
| 2.2.2924.1 |
$x^{2} - 731$ |
$2$ |
(2, 0) |
$2^{2}\cdot 17\cdot 43$ |
$3$ |
$54.0740233384$ |
$54.0740233383831$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[2, 4]$ |
$2$ |
$1$ |
$7.28619124557$ |
$1$ |
|