| 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 $p$ |
| 2.0.231.1 |
$x^{2} - x + 58$ |
$2$ |
(0, 1) |
$-\,3\cdot 7\cdot 11$ |
$3$ |
$15.1986841536$ |
$15.198684153570664$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$11$ |
| 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 |
$1$ |
$0$ |
$17$ |
| 2.0.327.1 |
$x^{2} - x + 82$ |
$2$ |
(0, 1) |
$-\,3\cdot 109$ |
$2$ |
$18.08314132$ |
$18.083141320025124$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$109$ |
| 2.0.356.1 |
$x^{2} + 89$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 89$ |
$2$ |
$18.8679622641$ |
$18.867962264113206$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$89$ |
| 2.0.440.1 |
$x^{2} + 110$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 5\cdot 11$ |
$3$ |
$20.9761769634$ |
$20.97617696340303$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$11$ |
| 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) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$43$ |
| 2.0.543.1 |
$x^{2} - x + 136$ |
$2$ |
(0, 1) |
$-\,3\cdot 181$ |
$2$ |
$23.3023603955$ |
$23.302360395462088$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$181$ |
| 2.0.655.1 |
$x^{2} - x + 164$ |
$2$ |
(0, 1) |
$-\,5\cdot 131$ |
$2$ |
$25.5929677841$ |
$25.592967784139454$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$131$ |
| 2.0.680.1 |
$x^{2} + 170$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 5\cdot 17$ |
$3$ |
$26.0768096208$ |
$26.076809620810597$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$17$ |
| 2.0.687.1 |
$x^{2} - x + 172$ |
$2$ |
(0, 1) |
$-\,3\cdot 229$ |
$2$ |
$26.2106848442$ |
$26.210684844162312$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$229$ |
| 2.0.696.1 |
$x^{2} + 174$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 29$ |
$3$ |
$26.3818119165$ |
$26.38181191654584$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$29$ |
| 2.0.728.1 |
$x^{2} + 182$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 7\cdot 13$ |
$3$ |
$26.9814751265$ |
$26.981475126464083$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$13$ |
| 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 |
$1$ |
$0$ |
$43$ |
| 2.0.744.1 |
$x^{2} + 186$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 31$ |
$3$ |
$27.276363394$ |
$27.27636339397171$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$31$ |
| 2.0.755.1 |
$x^{2} - x + 189$ |
$2$ |
(0, 1) |
$-\,5\cdot 151$ |
$2$ |
$27.4772633281$ |
$27.477263328068172$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$151$ |
| 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) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$67$ |
| 2.0.888.1 |
$x^{2} + 222$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 37$ |
$3$ |
$29.7993288515$ |
$29.79932885150268$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$37$ |
| 2.0.932.1 |
$x^{2} + 233$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 233$ |
$2$ |
$30.5286750449$ |
$30.528675044947494$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$233$ |
| 2.0.948.1 |
$x^{2} + 237$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 79$ |
$3$ |
$30.7896086367$ |
$30.789608636681304$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$79$ |
| 2.0.964.1 |
$x^{2} + 241$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 241$ |
$2$ |
$31.0483493925$ |
$31.04834939252005$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$241$ |
| 2.0.984.1 |
$x^{2} + 246$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 41$ |
$3$ |
$31.3687742827$ |
$31.368774282716245$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$41$ |
| 2.0.996.1 |
$x^{2} + 249$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 83$ |
$3$ |
$31.5594676761$ |
$31.559467676119$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$83$ |
| 2.0.1011.1 |
$x^{2} - x + 253$ |
$2$ |
(0, 1) |
$-\,3\cdot 337$ |
$2$ |
$31.7962261912$ |
$31.796226191169293$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$337$ |
| 2.0.1067.1 |
$x^{2} - x + 267$ |
$2$ |
(0, 1) |
$-\,11\cdot 97$ |
$2$ |
$32.6649659421$ |
$32.66496594212215$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$97$ |
| 2.0.1096.1 |
$x^{2} + 274$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 137$ |
$2$ |
$33.1058907145$ |
$33.1058907144937$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$137$ |
| 2.0.1144.1 |
$x^{2} + 286$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 11\cdot 13$ |
$3$ |
$33.8230690506$ |
$33.823069050575526$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$13$ |
| 2.0.1208.1 |
$x^{2} + 302$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 151$ |
$2$ |
$34.756294394$ |
$34.75629439396553$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$151$ |
| 2.0.1235.1 |
$x^{2} - x + 309$ |
$2$ |
(0, 1) |
$-\,5\cdot 13\cdot 19$ |
$3$ |
$35.1425667816$ |
$35.14256678161116$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$19$ |
| 2.0.1236.1 |
$x^{2} + 309$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 103$ |
$3$ |
$35.1567916625$ |
$35.156791662493895$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.0.1255.1 |
$x^{2} - x + 314$ |
$2$ |
(0, 1) |
$-\,5\cdot 251$ |
$2$ |
$35.4259791678$ |
$35.4259791678367$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$251$ |
| 2.0.1272.1 |
$x^{2} + 318$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 53$ |
$3$ |
$35.6651090003$ |
$35.66510900025401$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$53$ |
| 2.0.1336.1 |
$x^{2} + 334$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 167$ |
$2$ |
$36.551333765$ |
$36.55133376499413$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$167$ |
| 2.0.1355.1 |
$x^{2} - x + 339$ |
$2$ |
(0, 1) |
$-\,5\cdot 271$ |
$2$ |
$36.8103246386$ |
$36.810324638611924$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$271$ |
| 2.0.1371.1 |
$x^{2} - x + 343$ |
$2$ |
(0, 1) |
$-\,3\cdot 457$ |
$2$ |
$37.0270171631$ |
$37.027017163147235$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$457$ |
| 2.0.1419.1 |
$x^{2} - x + 355$ |
$2$ |
(0, 1) |
$-\,3\cdot 11\cdot 43$ |
$3$ |
$37.6696164037$ |
$37.66961640367472$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$43$ |
| 2.0.1464.1 |
$x^{2} + 366$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 61$ |
$3$ |
$38.2622529394$ |
$38.262252939417984$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$61$ |
| 2.0.1480.1 |
$x^{2} + 370$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 5\cdot 37$ |
$3$ |
$38.4707681233$ |
$38.47076812334269$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$37$ |
| 2.0.1491.1 |
$x^{2} - x + 373$ |
$2$ |
(0, 1) |
$-\,3\cdot 7\cdot 71$ |
$3$ |
$38.6134691526$ |
$38.61346915261564$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$71$ |
| 2.0.1515.1 |
$x^{2} - x + 379$ |
$2$ |
(0, 1) |
$-\,3\cdot 5\cdot 101$ |
$3$ |
$38.9230009121$ |
$38.92300091205713$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$101$ |
| 2.0.1547.1 |
$x^{2} - x + 387$ |
$2$ |
(0, 1) |
$-\,7\cdot 13\cdot 17$ |
$3$ |
$39.3319208786$ |
$39.331920878594275$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$17$ |
| 2.0.1572.1 |
$x^{2} + 393$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 131$ |
$3$ |
$39.6484552032$ |
$39.64845520319802$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$131$ |
| 2.0.1668.1 |
$x^{2} + 417$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 139$ |
$3$ |
$40.8411557133$ |
$40.84115571332428$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$139$ |
| 2.0.1720.1 |
$x^{2} + 430$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 5\cdot 43$ |
$3$ |
$41.4728827067$ |
$41.47288270665544$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$43$ |
| 2.0.1732.1 |
$x^{2} + 433$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 433$ |
$2$ |
$41.6173040934$ |
$41.617304093369626$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$433$ |
| 2.0.1763.1 |
$x^{2} - x + 441$ |
$2$ |
(0, 1) |
$-\,41\cdot 43$ |
$2$ |
$41.9880935504$ |
$41.98809355043403$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$43$ |
| 2.0.1807.1 |
$x^{2} - x + 452$ |
$2$ |
(0, 1) |
$-\,13\cdot 139$ |
$2$ |
$42.5088226137$ |
$42.50882261366456$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$139$ |
| 2.0.1812.1 |
$x^{2} + 453$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 151$ |
$3$ |
$42.5675933076$ |
$42.567593307585526$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$151$ |
| 2.0.1892.1 |
$x^{2} + 473$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 11\cdot 43$ |
$3$ |
$43.4971263419$ |
$43.497126341863094$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$43$ |
| 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 |
$1$ |
$0$ |
$23$ |
| 2.0.1972.1 |
$x^{2} + 493$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 17\cdot 29$ |
$3$ |
$44.4072066223$ |
$44.40720662234904$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$[2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$29$ |