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 |
2.0.79.1 |
$x^{2} - x + 20$ |
$2$ |
[0,1] |
$-\,79$ |
$1$ |
$8.88819441732$ |
$8.888194417315589$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[5]$ |
$2$ |
0 |
$1$ |
2.2.237.1 |
$x^{2} - x - 59$ |
$2$ |
[2,0] |
$3\cdot 79$ |
$2$ |
$15.3948043183$ |
$15.394804318340652$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$4.34363671666$ |
2.0.395.1 |
$x^{2} - x + 99$ |
$2$ |
[0,1] |
$-\,5\cdot 79$ |
$2$ |
$19.8746069144$ |
$19.87460691435179$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
2.2.553.1 |
$x^{2} - x - 138$ |
$2$ |
[2,0] |
$7\cdot 79$ |
$2$ |
$23.5159520326$ |
$23.515952032609693$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$27.8535818373$ |
2.0.632.1 |
$x^{2} + 158$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 79$ |
$2$ |
$25.13961018$ |
$25.13961017995307$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
2.0.1027.1 |
$x^{2} - x + 257$ |
$2$ |
[0,1] |
$-\,13\cdot 79$ |
$2$ |
$32.0468407179$ |
$32.046840717924134$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
0 |
$1$ |
2.2.1185.1 |
$x^{2} - x - 296$ |
$2$ |
[2,0] |
$3\cdot 5\cdot 79$ |
$3$ |
$34.4238289561$ |
$34.42382895611701$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$18.2323914395$ |
2.0.1659.1 |
$x^{2} - x + 415$ |
$2$ |
[0,1] |
$-\,3\cdot 7\cdot 79$ |
$3$ |
$40.7308237088$ |
$40.7308237088326$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.2.1896.1 |
$x^{2} - 474$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 79$ |
$3$ |
$43.5430821142$ |
$43.54308211415448$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$12.8664331699$ |
2.2.2765.1 |
$x^{2} - x - 691$ |
$2$ |
[2,0] |
$5\cdot 7\cdot 79$ |
$3$ |
$52.5832673005$ |
$52.583267300539625$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$7.14045241521$ |
2.2.3081.1 |
$x^{2} - x - 770$ |
$2$ |
[2,0] |
$3\cdot 13\cdot 79$ |
$3$ |
$55.5067563455$ |
$55.50675634551167$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
$1$ |
$9.70686420733$ |
2.0.3160.1 |
$x^{2} + 790$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 79$ |
$3$ |
$56.2138772902$ |
$56.213877290220786$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
2.2.3397.1 |
$x^{2} - x - 849$ |
$2$ |
[2,0] |
$43\cdot 79$ |
$2$ |
$58.2837884836$ |
$58.283788483591216$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$32.1617866194$ |
2.0.3476.1 |
$x^{2} + 869$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 11\cdot 79$ |
$3$ |
$58.9576118919$ |
$58.957611891934704$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 16]$ |
$2$ |
0 |
$1$ |
2.2.3713.1 |
$x^{2} - x - 928$ |
$2$ |
[2,0] |
$47\cdot 79$ |
$2$ |
$60.9343909463$ |
$60.93439094632849$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$24.6297376987$ |
2.2.4424.1 |
$x^{2} - 1106$ |
$2$ |
[2,0] |
$2^{3}\cdot 7\cdot 79$ |
$3$ |
$66.5131565933$ |
$66.51315659326356$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$9.22128030223$ |
2.2.4661.1 |
$x^{2} - x - 1165$ |
$2$ |
[2,0] |
$59\cdot 79$ |
$2$ |
$68.2715167548$ |
$68.27151675479314$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$14.252731406$ |
2.0.5135.1 |
$x^{2} - x + 1284$ |
$2$ |
[0,1] |
$-\,5\cdot 13\cdot 79$ |
$3$ |
$71.6589143094$ |
$71.65891430938652$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 28]$ |
$2$ |
0 |
$1$ |
2.2.5372.1 |
$x^{2} - 1343$ |
$2$ |
[2,0] |
$2^{2}\cdot 17\cdot 79$ |
$3$ |
$73.2939288072$ |
$73.29392880723478$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$13.5622376417$ |
2.2.5609.1 |
$x^{2} - x - 1402$ |
$2$ |
[2,0] |
$71\cdot 79$ |
$2$ |
$74.8932573734$ |
$74.89325737341113$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$73.3117503033$ |
2.0.5767.1 |
$x^{2} - x + 1442$ |
$2$ |
[0,1] |
$-\,73\cdot 79$ |
$2$ |
$75.9407663907$ |
$75.94076639065476$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[36]$ |
$2$ |
0 |
$1$ |
2.0.6004.1 |
$x^{2} + 1501$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 19\cdot 79$ |
$3$ |
$77.4854825112$ |
$77.48548251124207$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$2$ |
0 |
$1$ |
2.0.6952.1 |
$x^{2} + 1738$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 11\cdot 79$ |
$3$ |
$83.3786543427$ |
$83.37865434270333$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
2.0.7031.1 |
$x^{2} - x + 1758$ |
$2$ |
[0,1] |
$-\,79\cdot 89$ |
$2$ |
$83.851058431$ |
$83.85105843100611$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[108]$ |
$2$ |
0 |
$1$ |
2.2.7189.1 |
$x^{2} - x - 1797$ |
$2$ |
[2,0] |
$7\cdot 13\cdot 79$ |
$3$ |
$84.7879708449$ |
$84.78797084492588$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$27.3229871529$ |
2.0.7268.1 |
$x^{2} + 1817$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 23\cdot 79$ |
$3$ |
$85.2525659438$ |
$85.25256594378845$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 20]$ |
$2$ |
0 |
$1$ |
2.0.7663.1 |
$x^{2} - x + 1916$ |
$2$ |
[0,1] |
$-\,79\cdot 97$ |
$2$ |
$87.5385629309$ |
$87.53856293085921$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[44]$ |
$2$ |
0 |
$1$ |
2.0.7979.1 |
$x^{2} - x + 1995$ |
$2$ |
[0,1] |
$-\,79\cdot 101$ |
$2$ |
$89.3252483904$ |
$89.32524839036273$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[44]$ |
$2$ |
0 |
$1$ |
2.2.8137.1 |
$x^{2} - x - 2034$ |
$2$ |
[2,0] |
$79\cdot 103$ |
$2$ |
$90.2053213508$ |
$90.20532135079394$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$100.387488946$ |
2.0.8216.1 |
$x^{2} + 2054$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 13\cdot 79$ |
$3$ |
$90.642153549$ |
$90.64215354899729$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 36]$ |
$2$ |
0 |
$1$ |
2.0.8295.1 |
$x^{2} - x + 2074$ |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 7\cdot 79$ |
$4$ |
$91.0768905925$ |
$91.0768905925098$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 16]$ |
$2$ |
0 |
$1$ |
2.2.8453.1 |
$x^{2} - x - 2113$ |
$2$ |
[2,0] |
$79\cdot 107$ |
$2$ |
$91.940197955$ |
$91.94019795497506$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$28.4664952487$ |
2.2.9164.1 |
$x^{2} - 2291$ |
$2$ |
[2,0] |
$2^{2}\cdot 29\cdot 79$ |
$3$ |
$95.7287835502$ |
$95.72878355019456$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$32.7421172763$ |
2.2.9480.1 |
$x^{2} - 2370$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 5\cdot 79$ |
$4$ |
$97.3652915571$ |
$97.36529155710468$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$15.9917296115$ |
2.0.9796.1 |
$x^{2} + 2449$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 31\cdot 79$ |
$3$ |
$98.9747442533$ |
$98.97474425326898$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 20]$ |
$2$ |
0 |
$1$ |
2.2.10033.1 |
$x^{2} - x - 2508$ |
$2$ |
[2,0] |
$79\cdot 127$ |
$2$ |
$100.164864099$ |
$100.16486409914407$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$157.397954765$ |
2.0.10191.1 |
$x^{2} - x + 2548$ |
$2$ |
[0,1] |
$-\,3\cdot 43\cdot 79$ |
$3$ |
$100.950482911$ |
$100.9504829111778$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 48]$ |
$2$ |
0 |
$1$ |
2.2.10428.1 |
$x^{2} - 2607$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 11\cdot 79$ |
$4$ |
$102.11757929$ |
$102.11757928975794$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$7.4593385634$ |
2.2.10744.1 |
$x^{2} - 2686$ |
$2$ |
[2,0] |
$2^{3}\cdot 17\cdot 79$ |
$3$ |
$103.653268159$ |
$103.6532681587995$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$40.345714872$ |
2.2.10981.1 |
$x^{2} - x - 2745$ |
$2$ |
[2,0] |
$79\cdot 139$ |
$2$ |
$104.790266724$ |
$104.7902667235846$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$65.7660737542$ |
2.0.11139.1 |
$x^{2} - x + 2785$ |
$2$ |
[0,1] |
$-\,3\cdot 47\cdot 79$ |
$3$ |
$105.541461047$ |
$105.54146104730596$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$2$ |
0 |
$1$ |
2.2.11692.1 |
$x^{2} - 2923$ |
$2$ |
[2,0] |
$2^{2}\cdot 37\cdot 79$ |
$3$ |
$108.129551927$ |
$108.12955192730617$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$40.2211112343$ |
2.0.12008.1 |
$x^{2} + 3002$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 19\cdot 79$ |
$3$ |
$109.581020254$ |
$109.5810202544218$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 28]$ |
$2$ |
0 |
$1$ |
2.2.12956.1 |
$x^{2} - 3239$ |
$2$ |
[2,0] |
$2^{2}\cdot 41\cdot 79$ |
$3$ |
$113.824426201$ |
$113.82442620105756$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$26.1648364761$ |
2.0.13272.1 |
$x^{2} + 3318$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 7\cdot 79$ |
$4$ |
$115.204166591$ |
$115.20416659131735$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 8]$ |
$2$ |
0 |
$1$ |
2.0.13983.1 |
$x^{2} - x + 3496$ |
$2$ |
[0,1] |
$-\,3\cdot 59\cdot 79$ |
$3$ |
$118.249735729$ |
$118.24973572909158$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 36]$ |
$2$ |
0 |
$1$ |
2.0.14299.1 |
$x^{2} - x + 3575$ |
$2$ |
[0,1] |
$-\,79\cdot 181$ |
$2$ |
$119.578426148$ |
$119.57842614786331$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[32]$ |
$2$ |
0 |
$1$ |
2.0.14536.1 |
$x^{2} + 3634$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 23\cdot 79$ |
$3$ |
$120.565334985$ |
$120.56533498481228$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$2$ |
0 |
$1$ |
2.2.14773.1 |
$x^{2} - x - 3693$ |
$2$ |
[2,0] |
$11\cdot 17\cdot 79$ |
$3$ |
$121.544230632$ |
$121.54423063230932$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$16.7482081923$ |
2.2.15089.1 |
$x^{2} - x - 3772$ |
$2$ |
[2,0] |
$79\cdot 191$ |
$2$ |
$122.837290755$ |
$122.83729075488436$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$2$ |
$1$ |
$43.1284154147$ |