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 |
2.2.113.1 |
$x^{2} - x - 28$ |
$2$ |
[2,0] |
$113$ |
$1$ |
$10.6301458127$ |
$10.63014581273465$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$7.3473001159$ |
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 |
$1$ |
2.0.791.1 |
$x^{2} - x + 198$ |
$2$ |
[0,1] |
$-\,7\cdot 113$ |
$2$ |
$28.1247222209$ |
$28.124722220850465$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[32]$ |
$2$ |
0 |
$1$ |
2.0.904.1 |
$x^{2} + 226$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 113$ |
$2$ |
$30.0665927567$ |
$30.066592756745816$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
2.2.904.1 |
$x^{2} - 226$ |
$2$ |
[2,0] |
$2^{3}\cdot 113$ |
$2$ |
$30.0665927567$ |
$30.066592756745816$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
$1$ |
$3.40230664548$ |
2.0.1243.1 |
$x^{2} - x + 311$ |
$2$ |
[0,1] |
$-\,11\cdot 113$ |
$2$ |
$35.2562051276$ |
$35.25620512760839$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
0 |
$1$ |
2.2.1469.1 |
$x^{2} - x - 367$ |
$2$ |
[2,0] |
$13\cdot 113$ |
$2$ |
$38.3275357935$ |
$38.3275357934736$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.74485650542$ |
2.0.1695.1 |
$x^{2} - x + 424$ |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 113$ |
$3$ |
$41.1703777005$ |
$41.1703777004778$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
0 |
$1$ |
2.2.3164.1 |
$x^{2} - 791$ |
$2$ |
[2,0] |
$2^{2}\cdot 7\cdot 113$ |
$3$ |
$56.2494444417$ |
$56.24944444170093$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$6.10924264446$ |
2.0.3503.1 |
$x^{2} - x + 876$ |
$2$ |
[0,1] |
$-\,31\cdot 113$ |
$2$ |
$59.1861470278$ |
$59.18614702783076$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[52]$ |
$2$ |
0 |
$1$ |
2.2.4633.1 |
$x^{2} - x - 1158$ |
$2$ |
[2,0] |
$41\cdot 113$ |
$2$ |
$68.066144301$ |
$68.06614430096654$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$36.1658309671$ |
2.2.4972.1 |
$x^{2} - 1243$ |
$2$ |
[2,0] |
$2^{2}\cdot 11\cdot 113$ |
$3$ |
$70.5124102552$ |
$70.51241025521678$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$12.7476641098$ |
2.0.5763.1 |
$x^{2} - x + 1441$ |
$2$ |
[0,1] |
$-\,3\cdot 17\cdot 113$ |
$3$ |
$75.9144255066$ |
$75.91442550661897$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
0 |
$1$ |
2.0.5876.1 |
$x^{2} + 1469$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 13\cdot 113$ |
$3$ |
$76.6550715869$ |
$76.6550715869472$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 28]$ |
$2$ |
0 |
$1$ |
2.2.5989.1 |
$x^{2} - x - 1497$ |
$2$ |
[2,0] |
$53\cdot 113$ |
$2$ |
$77.3886296558$ |
$77.38862965578342$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$29.6917488074$ |
2.0.6328.1 |
$x^{2} + 1582$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 7\cdot 113$ |
$3$ |
$79.5487272054$ |
$79.54872720540537$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4, 4]$ |
$2$ |
0 |
$1$ |
2.2.6328.1 |
$x^{2} - 1582$ |
$2$ |
[2,0] |
$2^{3}\cdot 7\cdot 113$ |
$3$ |
$79.5487272054$ |
$79.54872720540537$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$16.6596811806$ |
2.2.6441.1 |
$x^{2} - x - 1610$ |
$2$ |
[2,0] |
$3\cdot 19\cdot 113$ |
$3$ |
$80.2558409089$ |
$80.25584090893322$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$52.6602095788$ |
2.2.6780.1 |
$x^{2} - 1695$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 5\cdot 113$ |
$4$ |
$82.340755401$ |
$82.3407554009556$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$13.1208261965$ |
2.2.6893.1 |
$x^{2} - x - 1723$ |
$2$ |
[2,0] |
$61\cdot 113$ |
$2$ |
$83.0240928888$ |
$83.02409288875127$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$4.41898573515$ |
2.2.7797.1 |
$x^{2} - x - 1949$ |
$2$ |
[2,0] |
$3\cdot 23\cdot 113$ |
$3$ |
$88.3006228744$ |
$88.30062287436029$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$14.6530779448$ |
2.2.8701.1 |
$x^{2} - x - 2175$ |
$2$ |
[2,0] |
$7\cdot 11\cdot 113$ |
$3$ |
$93.2791509395$ |
$93.27915093953203$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$14.6476824527$ |
2.0.9379.1 |
$x^{2} - x + 2345$ |
$2$ |
[0,1] |
$-\,83\cdot 113$ |
$2$ |
$96.8452373635$ |
$96.84523736353792$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[24]$ |
$2$ |
0 |
$1$ |
2.2.9605.1 |
$x^{2} - x - 2401$ |
$2$ |
[2,0] |
$5\cdot 17\cdot 113$ |
$3$ |
$98.005101908$ |
$98.00510190801293$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$5.27814068903$ |
2.0.9831.1 |
$x^{2} - x + 2458$ |
$2$ |
[0,1] |
$-\,3\cdot 29\cdot 113$ |
$3$ |
$99.151399385$ |
$99.15139938498095$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 54]$ |
$2$ |
0 |
$1$ |
2.0.9944.1 |
$x^{2} + 2486$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 11\cdot 113$ |
$3$ |
$99.7196068985$ |
$99.71960689854328$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 28]$ |
$2$ |
0 |
$1$ |
2.2.9944.1 |
$x^{2} - 2486$ |
$2$ |
[2,0] |
$2^{3}\cdot 11\cdot 113$ |
$3$ |
$99.7196068985$ |
$99.71960689854328$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$16.1524872226$ |
2.0.10283.1 |
$x^{2} - x + 2571$ |
$2$ |
[0,1] |
$-\,7\cdot 13\cdot 113$ |
$3$ |
$101.405128075$ |
$101.4051280754578$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$2$ |
0 |
$1$ |
2.0.10735.1 |
$x^{2} - x + 2684$ |
$2$ |
[0,1] |
$-\,5\cdot 19\cdot 113$ |
$3$ |
$103.609845092$ |
$103.60984509205677$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 30]$ |
$2$ |
0 |
$1$ |
2.2.10961.1 |
$x^{2} - x - 2740$ |
$2$ |
[2,0] |
$97\cdot 113$ |
$2$ |
$104.694794522$ |
$104.69479452198185$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
$1$ |
$12.8535318452$ |
2.0.11752.1 |
$x^{2} + 2938$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 13\cdot 113$ |
$3$ |
$108.406641863$ |
$108.40664186294121$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$2$ |
0 |
$1$ |
2.2.11752.1 |
$x^{2} - 2938$ |
$2$ |
[2,0] |
$2^{3}\cdot 13\cdot 113$ |
$3$ |
$108.406641863$ |
$108.40664186294121$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$14.2687583388$ |
2.2.11865.1 |
$x^{2} - x - 2966$ |
$2$ |
[2,0] |
$3\cdot 5\cdot 7\cdot 113$ |
$4$ |
$108.926580778$ |
$108.92658077806354$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$30.3967126486$ |
2.2.12317.1 |
$x^{2} - x - 3079$ |
$2$ |
[2,0] |
$109\cdot 113$ |
$2$ |
$110.981980519$ |
$110.98198051936178$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
$1$ |
$4.70944902919$ |
2.0.12543.1 |
$x^{2} - x + 3136$ |
$2$ |
[0,1] |
$-\,3\cdot 37\cdot 113$ |
$3$ |
$111.995535625$ |
$111.99553562530964$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 26]$ |
$2$ |
0 |
$1$ |
2.0.12995.1 |
$x^{2} - x + 3249$ |
$2$ |
[0,1] |
$-\,5\cdot 23\cdot 113$ |
$3$ |
$113.995613951$ |
$113.99561395071304$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 18]$ |
$2$ |
0 |
$1$ |
2.0.13560.1 |
$x^{2} + 3390$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 5\cdot 113$ |
$4$ |
$116.447413024$ |
$116.4474130240771$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 8]$ |
$2$ |
0 |
$1$ |
2.2.13560.1 |
$x^{2} - 3390$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 5\cdot 113$ |
$4$ |
$116.447413024$ |
$116.4474130240771$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$15.4682956579$ |
2.2.14012.1 |
$x^{2} - 3503$ |
$2$ |
[2,0] |
$2^{2}\cdot 31\cdot 113$ |
$3$ |
$118.372294056$ |
$118.37229405566153$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$10.216252404$ |
2.0.14351.1 |
$x^{2} - x + 3588$ |
$2$ |
[0,1] |
$-\,113\cdot 127$ |
$2$ |
$119.795659354$ |
$119.7956593537512$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[144]$ |
$2$ |
0 |
$1$ |
2.2.14577.1 |
$x^{2} - x - 3644$ |
$2$ |
[2,0] |
$3\cdot 43\cdot 113$ |
$3$ |
$120.735247546$ |
$120.73524754602526$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$51.0045082213$ |
2.0.14803.1 |
$x^{2} - x + 3701$ |
$2$ |
[0,1] |
$-\,113\cdot 131$ |
$2$ |
$121.667579905$ |
$121.66757990524839$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[28]$ |
$2$ |
0 |
$1$ |
2.0.15707.1 |
$x^{2} - x + 3927$ |
$2$ |
[0,1] |
$-\,113\cdot 139$ |
$2$ |
$125.32757079$ |
$125.32757078951144$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[52]$ |
$2$ |
0 |
$1$ |
2.2.15933.1 |
$x^{2} - x - 3983$ |
$2$ |
[2,0] |
$3\cdot 47\cdot 113$ |
$3$ |
$126.225987816$ |
$126.22598781550494$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$22.3640563862$ |
2.0.16159.1 |
$x^{2} - x + 4040$ |
$2$ |
[0,1] |
$-\,11\cdot 13\cdot 113$ |
$3$ |
$127.118055366$ |
$127.11805536586846$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 48]$ |
$2$ |
0 |
$1$ |
2.2.16385.1 |
$x^{2} - x - 4096$ |
$2$ |
[2,0] |
$5\cdot 29\cdot 113$ |
$3$ |
$128.00390619$ |
$128.00390619039717$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
$1$ |
$5.54519270292$ |
2.2.16837.1 |
$x^{2} - x - 4209$ |
$2$ |
[2,0] |
$113\cdot 149$ |
$2$ |
$129.757466067$ |
$129.75746606650424$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$12.5664148568$ |
2.2.17741.1 |
$x^{2} - x - 4435$ |
$2$ |
[2,0] |
$113\cdot 157$ |
$2$ |
$133.195345264$ |
$133.19534526401438$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$20.6276875962$ |
2.0.18419.1 |
$x^{2} - x + 4605$ |
$2$ |
[0,1] |
$-\,113\cdot 163$ |
$2$ |
$135.716616521$ |
$135.71661652133832$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[52]$ |
$2$ |
0 |
$1$ |
2.0.18532.1 |
$x^{2} + 4633$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 41\cdot 113$ |
$3$ |
$136.132288602$ |
$136.13228860193308$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4, 8]$ |
$2$ |
0 |
$1$ |