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 |
2.2.69.1 |
$x^{2} - x - 17$ |
$2$ |
[2,0] |
$3\cdot 23$ |
$2$ |
$8.30662386292$ |
$8.306623862918075$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$3.21727197116$ |
2.2.92.1 |
$x^{2} - 23$ |
$2$ |
[2,0] |
$2^{2}\cdot 23$ |
$2$ |
$9.59166304663$ |
$9.591663046625438$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$3.87076670029$ |
2.0.115.1 |
$x^{2} - x + 29$ |
$2$ |
[0,1] |
$-\,5\cdot 23$ |
$2$ |
$10.7238052948$ |
$10.723805294763608$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
0 |
$1$ |
2.2.184.1 |
$x^{2} - 46$ |
$2$ |
[2,0] |
$2^{3}\cdot 23$ |
$2$ |
$13.5646599663$ |
$13.564659966250536$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$10.7928181024$ |
2.0.391.1 |
$x^{2} - x + 98$ |
$2$ |
[0,1] |
$-\,17\cdot 23$ |
$2$ |
$19.7737199333$ |
$19.77371993328519$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[14]$ |
$2$ |
0 |
$1$ |
2.0.483.1 |
$x^{2} - x + 121$ |
$2$ |
[0,1] |
$-\,3\cdot 7\cdot 23$ |
$3$ |
$21.9772609758$ |
$21.97726097583591$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.2.552.1 |
$x^{2} - 138$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 23$ |
$3$ |
$23.4946802489$ |
$23.49468024894146$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.54318158967$ |
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 |
$1$ |
2.2.713.1 |
$x^{2} - x - 178$ |
$2$ |
[2,0] |
$23\cdot 31$ |
$2$ |
$26.7020598456$ |
$26.70205984563738$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$16.173788981$ |
2.0.759.1 |
$x^{2} - x + 190$ |
$2$ |
[0,1] |
$-\,3\cdot 11\cdot 23$ |
$3$ |
$27.5499546279$ |
$27.54995462791182$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$2$ |
0 |
$1$ |
2.2.805.1 |
$x^{2} - x - 201$ |
$2$ |
[2,0] |
$5\cdot 7\cdot 23$ |
$3$ |
$28.3725219182$ |
$28.372521918222215$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$7.27724724903$ |
2.0.851.1 |
$x^{2} - x + 213$ |
$2$ |
[0,1] |
$-\,23\cdot 37$ |
$2$ |
$29.1719042916$ |
$29.171904291629644$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$2$ |
0 |
$1$ |
2.2.897.1 |
$x^{2} - x - 224$ |
$2$ |
[2,0] |
$3\cdot 13\cdot 23$ |
$3$ |
$29.9499582637$ |
$29.949958263743873$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$7.08840808191$ |
2.0.920.1 |
$x^{2} + 230$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 23$ |
$3$ |
$30.3315017762$ |
$30.331501776206203$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
0 |
$1$ |
2.0.1012.1 |
$x^{2} + 253$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 11\cdot 23$ |
$3$ |
$31.8119474412$ |
$31.811947441173732$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.2.1081.1 |
$x^{2} - x - 270$ |
$2$ |
[2,0] |
$23\cdot 47$ |
$2$ |
$32.8785644455$ |
$32.87856444554719$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$47.8205851741$ |
2.2.1196.1 |
$x^{2} - 299$ |
$2$ |
[2,0] |
$2^{2}\cdot 13\cdot 23$ |
$3$ |
$34.5832329316$ |
$34.583232931581165$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$6.7214242492$ |
2.0.1219.1 |
$x^{2} - x + 305$ |
$2$ |
[0,1] |
$-\,23\cdot 53$ |
$2$ |
$34.9141805002$ |
$34.91418050019218$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
0 |
$1$ |
2.2.1265.1 |
$x^{2} - x - 316$ |
$2$ |
[2,0] |
$5\cdot 11\cdot 23$ |
$3$ |
$35.5668384876$ |
$35.566838487557476$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$12.9336164219$ |
2.0.1288.1 |
$x^{2} + 322$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 7\cdot 23$ |
$3$ |
$35.8887168899$ |
$35.888716889852724$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.0.1311.1 |
$x^{2} - x + 328$ |
$2$ |
[0,1] |
$-\,3\cdot 19\cdot 23$ |
$3$ |
$36.2077339805$ |
$36.207733980463345$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$2$ |
0 |
$1$ |
2.2.1357.1 |
$x^{2} - x - 339$ |
$2$ |
[2,0] |
$23\cdot 59$ |
$2$ |
$36.8374809128$ |
$36.837480912787726$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$13.701903914$ |
2.0.1380.1 |
$x^{2} + 345$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 5\cdot 23$ |
$4$ |
$37.148351242$ |
$37.14835124201342$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 2]$ |
$2$ |
0 |
$1$ |
2.0.1403.1 |
$x^{2} - x + 351$ |
$2$ |
[0,1] |
$-\,23\cdot 61$ |
$2$ |
$37.4566416007$ |
$37.456641600656084$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[14]$ |
$2$ |
0 |
$1$ |
2.0.1495.1 |
$x^{2} - x + 374$ |
$2$ |
[0,1] |
$-\,5\cdot 13\cdot 23$ |
$3$ |
$38.6652298584$ |
$38.66522985836241$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
0 |
$1$ |
2.2.1633.1 |
$x^{2} - x - 408$ |
$2$ |
[2,0] |
$23\cdot 71$ |
$2$ |
$40.4103947024$ |
$40.4103947023535$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$54.8465061829$ |
2.0.1748.1 |
$x^{2} + 437$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 19\cdot 23$ |
$3$ |
$41.8090899207$ |
$41.80908992073375$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
0 |
$1$ |
2.2.2001.1 |
$x^{2} - x - 500$ |
$2$ |
[2,0] |
$3\cdot 23\cdot 29$ |
$3$ |
$44.7325384927$ |
$44.73253849269008$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$24.3992083736$ |
2.0.2024.1 |
$x^{2} + 506$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 11\cdot 23$ |
$3$ |
$44.9888875168$ |
$44.98888751680797$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$2$ |
0 |
$1$ |
2.0.2047.1 |
$x^{2} - x + 512$ |
$2$ |
[0,1] |
$-\,23\cdot 89$ |
$2$ |
$45.2437841035$ |
$45.24378410345447$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[18]$ |
$2$ |
0 |
$1$ |
2.2.2185.1 |
$x^{2} - x - 546$ |
$2$ |
[2,0] |
$5\cdot 19\cdot 23$ |
$3$ |
$46.7439835701$ |
$46.74398357008097$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$36.1488109197$ |
2.0.2231.1 |
$x^{2} - x + 558$ |
$2$ |
[0,1] |
$-\,23\cdot 97$ |
$2$ |
$47.2334627145$ |
$47.23346271447817$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[58]$ |
$2$ |
0 |
$1$ |
2.2.2392.1 |
$x^{2} - 598$ |
$2$ |
[2,0] |
$2^{3}\cdot 13\cdot 23$ |
$3$ |
$48.9080770425$ |
$48.908077042549934$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$14.9625008624$ |
2.0.2507.1 |
$x^{2} - x + 627$ |
$2$ |
[0,1] |
$-\,23\cdot 109$ |
$2$ |
$50.0699510685$ |
$50.06995106848019$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[14]$ |
$2$ |
0 |
$1$ |
2.0.2599.1 |
$x^{2} - x + 650$ |
$2$ |
[0,1] |
$-\,23\cdot 113$ |
$2$ |
$50.9803883861$ |
$50.98038838612354$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[30]$ |
$2$ |
0 |
$1$ |
2.2.2668.1 |
$x^{2} - 667$ |
$2$ |
[2,0] |
$2^{2}\cdot 23\cdot 29$ |
$3$ |
$51.6526862806$ |
$51.65268628057983$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$19.1825990101$ |
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) |
$[2]$ |
$2$ |
$1$ |
$33.6907213843$ |
2.0.2760.1 |
$x^{2} + 690$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 5\cdot 23$ |
$4$ |
$52.5357021463$ |
$52.53570214625479$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 4]$ |
$2$ |
0 |
$1$ |
2.2.2829.1 |
$x^{2} - x - 707$ |
$2$ |
[2,0] |
$3\cdot 23\cdot 41$ |
$3$ |
$53.1883445879$ |
$53.1883445878888$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$11.7436402817$ |
2.2.2921.1 |
$x^{2} - x - 730$ |
$2$ |
[2,0] |
$23\cdot 127$ |
$2$ |
$54.0462764675$ |
$54.04627646748664$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$53.5790831153$ |
2.0.2967.1 |
$x^{2} - x + 742$ |
$2$ |
[0,1] |
$-\,3\cdot 23\cdot 43$ |
$3$ |
$54.4701753256$ |
$54.47017532558529$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 22]$ |
$2$ |
0 |
$1$ |
2.2.3013.1 |
$x^{2} - x - 753$ |
$2$ |
[2,0] |
$23\cdot 131$ |
$2$ |
$54.8908006865$ |
$54.89080068645383$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$21.6351932269$ |
2.0.3128.1 |
$x^{2} + 782$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 17\cdot 23$ |
$3$ |
$55.9285258164$ |
$55.92852581643825$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$2$ |
0 |
$1$ |
2.0.3151.1 |
$x^{2} - x + 788$ |
$2$ |
[0,1] |
$-\,23\cdot 137$ |
$2$ |
$56.1337688027$ |
$56.133768802744754$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[22]$ |
$2$ |
0 |
$1$ |
2.2.3197.1 |
$x^{2} - x - 799$ |
$2$ |
[2,0] |
$23\cdot 139$ |
$2$ |
$56.5420197729$ |
$56.542019772908716$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$12.6768697099$ |
2.0.3335.1 |
$x^{2} - x + 834$ |
$2$ |
[0,1] |
$-\,5\cdot 23\cdot 29$ |
$3$ |
$57.7494588719$ |
$57.74945887192364$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 32]$ |
$2$ |
0 |
$1$ |
2.0.3427.1 |
$x^{2} - x + 857$ |
$2$ |
[0,1] |
$-\,23\cdot 149$ |
$2$ |
$58.540584213$ |
$58.540584213005594$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
0 |
$1$ |
2.2.3473.1 |
$x^{2} - x - 868$ |
$2$ |
[2,0] |
$23\cdot 151$ |
$2$ |
$58.9321643926$ |
$58.93216439263028$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$36.4796293$ |
2.0.3496.1 |
$x^{2} + 874$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 19\cdot 23$ |
$3$ |
$59.1269819964$ |
$59.12698199637793$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
0 |
$1$ |
2.0.3611.1 |
$x^{2} - x + 903$ |
$2$ |
[0,1] |
$-\,23\cdot 157$ |
$2$ |
$60.0915967503$ |
$60.091596750294464$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[26]$ |
$2$ |
0 |
$1$ |