| 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 $p$ |
| 2.0.103.1 |
$x^{2} - x + 26$ |
$2$ |
(0, 1) |
$-\,103$ |
$1$ |
$10.1488915651$ |
$10.14889156509222$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[5]$ |
$[5]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.2.309.1 |
$x^{2} - x - 77$ |
$2$ |
(2, 0) |
$3\cdot 103$ |
$2$ |
$17.5783958312$ |
$17.578395831246947$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$8.5261528935$ |
$1$ |
$103$ |
| 2.0.824.1 |
$x^{2} + 206$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 103$ |
$2$ |
$28.7054001888$ |
$28.705400188814647$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[20]$ |
$[20]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.2.1133.1 |
$x^{2} - x - 283$ |
$2$ |
(2, 0) |
$11\cdot 103$ |
$2$ |
$33.6600653594$ |
$33.66006535941367$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$4.61502247282$ |
$1$ |
$103$ |
| 2.0.1339.1 |
$x^{2} - x + 335$ |
$2$ |
(0, 1) |
$-\,13\cdot 103$ |
$2$ |
$36.5923489271$ |
$36.59234892706397$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$[8]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 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 |
$1$ |
$0$ |
$103$ |
| 2.2.2060.1 |
$x^{2} - 515$ |
$2$ |
(2, 0) |
$2^{2}\cdot 5\cdot 103$ |
$3$ |
$45.3872228716$ |
$45.387222871640866$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$10.4577174331$ |
$1$ |
$103$ |
| 2.2.2472.1 |
$x^{2} - 618$ |
$2$ |
(2, 0) |
$2^{3}\cdot 3\cdot 103$ |
$3$ |
$49.7192115786$ |
$49.71921157862421$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$9.91274457134$ |
$1$ |
$103$ |
| 2.0.2884.1 |
$x^{2} + 721$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 7\cdot 103$ |
$3$ |
$53.7028863284$ |
$53.70288632839021$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.0.2987.1 |
$x^{2} - x + 747$ |
$2$ |
(0, 1) |
$-\,29\cdot 103$ |
$2$ |
$54.6534536878$ |
$54.653453687758834$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[20]$ |
$[20]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.2.3193.1 |
$x^{2} - x - 798$ |
$2$ |
(2, 0) |
$31\cdot 103$ |
$2$ |
$56.5066367783$ |
$56.50663677834667$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$78.0779690055$ |
$1$ |
$103$ |
| 2.0.3399.1 |
$x^{2} - x + 850$ |
$2$ |
(0, 1) |
$-\,3\cdot 11\cdot 103$ |
$3$ |
$58.3009433886$ |
$58.30094338859364$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 20]$ |
$[2, 20]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.2.3605.1 |
$x^{2} - x - 901$ |
$2$ |
(2, 0) |
$5\cdot 7\cdot 103$ |
$3$ |
$60.0416522091$ |
$60.0416522091123$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$7.96623965616$ |
$1$ |
$103$ |
| 2.2.4017.1 |
$x^{2} - x - 1004$ |
$2$ |
(2, 0) |
$3\cdot 13\cdot 103$ |
$3$ |
$63.37980751$ |
$63.3798075099633$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$[2, 4]$ |
$2$ |
$1$ |
$10.1798305789$ |
$1$ |
$103$ |
| 2.2.4120.1 |
$x^{2} - 1030$ |
$2$ |
(2, 0) |
$2^{3}\cdot 5\cdot 103$ |
$3$ |
$64.1872261435$ |
$64.18722614352485$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$28.2012173177$ |
$1$ |
$103$ |
| 2.0.4223.1 |
$x^{2} - x + 1056$ |
$2$ |
(0, 1) |
$-\,41\cdot 103$ |
$2$ |
$64.9846135635$ |
$64.98461356351979$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[44]$ |
$[44]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.2.4429.1 |
$x^{2} - x - 1107$ |
$2$ |
(2, 0) |
$43\cdot 103$ |
$2$ |
$66.5507325279$ |
$66.55073252789934$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$37.4393843459$ |
$1$ |
$103$ |
| 2.2.4841.1 |
$x^{2} - x - 1210$ |
$2$ |
(2, 0) |
$47\cdot 103$ |
$2$ |
$69.5772951472$ |
$69.57729514719583$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$[6]$ |
$2$ |
$1$ |
$24.5476478628$ |
$1$ |
$103$ |
| 2.2.5253.1 |
$x^{2} - x - 1313$ |
$2$ |
(2, 0) |
$3\cdot 17\cdot 103$ |
$3$ |
$72.4775827411$ |
$72.47758274114831$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$10.5235531564$ |
$1$ |
$103$ |
| 2.0.5768.1 |
$x^{2} + 1442$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 7\cdot 103$ |
$3$ |
$75.9473501842$ |
$75.9473501841901$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$[2, 12]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.0.6180.1 |
$x^{2} + 1545$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 3\cdot 5\cdot 103$ |
$4$ |
$78.6129760281$ |
$78.61297602813418$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 6]$ |
$[2, 2, 6]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.0.6283.1 |
$x^{2} - x + 1571$ |
$2$ |
(0, 1) |
$-\,61\cdot 103$ |
$2$ |
$79.2653770571$ |
$79.26537705707328$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$[12]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.2.6901.1 |
$x^{2} - x - 1725$ |
$2$ |
(2, 0) |
$67\cdot 103$ |
$2$ |
$83.0722577038$ |
$83.07225770376053$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$[6]$ |
$2$ |
$1$ |
$17.7139008589$ |
$1$ |
$103$ |
| 2.2.7313.1 |
$x^{2} - x - 1828$ |
$2$ |
(2, 0) |
$71\cdot 103$ |
$2$ |
$85.5160803592$ |
$85.51608035919327$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$47.5946117179$ |
$1$ |
$103$ |
| 2.0.7828.1 |
$x^{2} + 1957$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 19\cdot 103$ |
$3$ |
$88.4759854424$ |
$88.47598544237866$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.2.8652.1 |
$x^{2} - 2163$ |
$2$ |
(2, 0) |
$2^{2}\cdot 3\cdot 7\cdot 103$ |
$4$ |
$93.0161276339$ |
$93.01612763386788$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$1$ |
$9.35305446666$ |
$1$ |
$103$ |
| 2.2.8961.1 |
$x^{2} - x - 2240$ |
$2$ |
(2, 0) |
$3\cdot 29\cdot 103$ |
$3$ |
$94.6625585963$ |
$94.66255859631093$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$66.4221040585$ |
$1$ |
$103$ |
| 2.2.9064.1 |
$x^{2} - 2266$ |
$2$ |
(2, 0) |
$2^{3}\cdot 11\cdot 103$ |
$3$ |
$95.2050418833$ |
$95.20504188329524$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$43.1566267642$ |
$1$ |
$103$ |
| 2.0.9476.1 |
$x^{2} + 2369$ |
$2$ |
(0, 1) |
$-\,2^{2}\cdot 23\cdot 103$ |
$3$ |
$97.3447481891$ |
$97.34474818910365$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 36]$ |
$[2, 36]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.0.9579.1 |
$x^{2} - x + 2395$ |
$2$ |
(0, 1) |
$-\,3\cdot 31\cdot 103$ |
$3$ |
$97.8723658649$ |
$97.87236586493657$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 16]$ |
$[2, 16]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.2.9785.1 |
$x^{2} - x - 2446$ |
$2$ |
(2, 0) |
$5\cdot 19\cdot 103$ |
$3$ |
$98.9191589127$ |
$98.91915891272023$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$29.8921801624$ |
$1$ |
$103$ |
| 2.0.9991.1 |
$x^{2} - x + 2498$ |
$2$ |
(0, 1) |
$-\,97\cdot 103$ |
$2$ |
$99.9549898704$ |
$99.95498987044118$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[32]$ |
$[32]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.0.10712.1 |
$x^{2} + 2678$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 13\cdot 103$ |
$3$ |
$103.498792263$ |
$103.49879226348489$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 20]$ |
$[2, 20]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.0.10815.1 |
$x^{2} - x + 2704$ |
$2$ |
(0, 1) |
$-\,3\cdot 5\cdot 7\cdot 103$ |
$4$ |
$103.995192197$ |
$103.99519219656263$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 20]$ |
$[2, 2, 20]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.2.11845.1 |
$x^{2} - x - 2961$ |
$2$ |
(2, 0) |
$5\cdot 23\cdot 103$ |
$3$ |
$108.834737102$ |
$108.83473710171766$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$32.9663783451$ |
$1$ |
$103$ |
| 2.0.12360.1 |
$x^{2} + 3090$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 3\cdot 5\cdot 103$ |
$4$ |
$111.175536877$ |
$111.17553687749837$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 14]$ |
$[2, 2, 14]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.2.12669.1 |
$x^{2} - x - 3167$ |
$2$ |
(2, 0) |
$3\cdot 41\cdot 103$ |
$3$ |
$112.556652402$ |
$112.55665240224586$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$15.3479011055$ |
$1$ |
$103$ |
| 2.2.13081.1 |
$x^{2} - x - 3270$ |
$2$ |
(2, 0) |
$103\cdot 127$ |
$2$ |
$114.372199419$ |
$114.37219941926448$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$186.438175892$ |
$1$ |
$127$ |
| 2.0.13287.1 |
$x^{2} - x + 3322$ |
$2$ |
(0, 1) |
$-\,3\cdot 43\cdot 103$ |
$3$ |
$115.269250019$ |
$115.26925001924842$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 28]$ |
$[2, 28]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.0.13699.1 |
$x^{2} - x + 3425$ |
$2$ |
(0, 1) |
$-\,7\cdot 19\cdot 103$ |
$3$ |
$117.042727241$ |
$117.04272724095249$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$[2, 12]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.0.14008.1 |
$x^{2} + 3502$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 17\cdot 103$ |
$3$ |
$118.355397004$ |
$118.35539700410793$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4, 4]$ |
$[4, 4]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.0.14111.1 |
$x^{2} - x + 3528$ |
$2$ |
(0, 1) |
$-\,103\cdot 137$ |
$2$ |
$118.789730196$ |
$118.78973019583806$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[152]$ |
$[152]$ |
$2$ |
0 |
$1$ |
$0$ |
$137$ |
| 2.0.14523.1 |
$x^{2} - x + 3631$ |
$2$ |
(0, 1) |
$-\,3\cdot 47\cdot 103$ |
$3$ |
$120.511410248$ |
$120.51141024815865$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$[2, 12]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.2.14729.1 |
$x^{2} - x - 3682$ |
$2$ |
(2, 0) |
$11\cdot 13\cdot 103$ |
$3$ |
$121.363091589$ |
$121.36309158883519$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$[2, 2]$ |
$2$ |
$1$ |
$68.780980363$ |
$1$ |
$103$ |
| 2.2.15244.1 |
$x^{2} - 3811$ |
$2$ |
(2, 0) |
$2^{2}\cdot 37\cdot 103$ |
$3$ |
$123.466594672$ |
$123.46659467240522$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[14]$ |
$[2, 14]$ |
$2$ |
$1$ |
$7.52402112365$ |
$1$ |
$103$ |
| 2.0.15347.1 |
$x^{2} - x + 3837$ |
$2$ |
(0, 1) |
$-\,103\cdot 149$ |
$2$ |
$123.883009327$ |
$123.88300932734884$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[40]$ |
$[40]$ |
$2$ |
0 |
$1$ |
$0$ |
$149$ |
| 2.2.15553.1 |
$x^{2} - x - 3888$ |
$2$ |
(2, 0) |
$103\cdot 151$ |
$2$ |
$124.711667457$ |
$124.71166745737946$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$[2]$ |
$2$ |
$1$ |
$125.296375689$ |
$1$ |
$151$ |
| 2.0.15656.1 |
$x^{2} + 3914$ |
$2$ |
(0, 1) |
$-\,2^{3}\cdot 19\cdot 103$ |
$3$ |
$125.123938557$ |
$125.12393855693642$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 32]$ |
$[2, 32]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.0.16583.1 |
$x^{2} - x + 4146$ |
$2$ |
(0, 1) |
$-\,7\cdot 23\cdot 103$ |
$3$ |
$128.774997573$ |
$128.77499757328673$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 64]$ |
$[2, 64]$ |
$2$ |
0 |
$1$ |
$0$ |
$103$ |
| 2.2.17304.1 |
$x^{2} - 4326$ |
$2$ |
(2, 0) |
$2^{3}\cdot 3\cdot 7\cdot 103$ |
$4$ |
$131.544669219$ |
$131.5446692192428$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$1$ |
$26.20885862$ |
$1$ |
$103$ |