| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-b |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 19.1-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[19, 19, \frac{1}{2} w^3 - \frac{3}{2} w^2 - \frac{1}{2} w + 4]$ |
$19$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 19.2-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[19,19,\frac{1}{2} w^3 + \frac{1}{2} w^2 - \frac{5}{2} w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[25, 5, w^3 - w^2 - 3 w + 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$3$ |
|
✓ |
| 29.1-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[29, 29, -\frac{1}{2} w^3 + \frac{3}{2} w^2 + \frac{3}{2} w - 1]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.2-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[29,29,-w^2 + 5]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 31.1-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[31, 31, -w^3 + 2 w^2 + 3 w - 3]$ |
$31$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 31.2-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[31,31,-\frac{1}{2} w^3 - \frac{1}{2} w^2 + \frac{3}{2} w + 3]$ |
$31$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 41.1-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[41, 41, -\frac{1}{2} w^3 - \frac{1}{2} w^2 + \frac{5}{2} w]$ |
$41$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 41.2-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[41,41,-\frac{1}{2} w^3 + \frac{3}{2} w^2 + \frac{1}{2} w - 5]$ |
$41$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 59.1-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[59, 59, w^3 - w^2 - 5 w + 1]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.1-b |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[59, 59, w^3 - w^2 - 5 w + 1]$ |
$59$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 59.2-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[59,59,2 w - 1]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 59.2-b |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[59,59,2 w - 1]$ |
$59$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 61.1-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[61, 61, \frac{3}{2} w^3 - \frac{1}{2} w^2 - \frac{11}{2} w - 2]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 61.1-b |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[61, 61, \frac{3}{2} w^3 - \frac{1}{2} w^2 - \frac{11}{2} w - 2]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 61.1-c |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[61, 61, \frac{3}{2} w^3 - \frac{1}{2} w^2 - \frac{11}{2} w - 2]$ |
$61$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 61.2-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[61,61,\frac{3}{2} w^3 - \frac{5}{2} w^2 - \frac{7}{2} w + 3]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 61.2-b |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[61,61,\frac{3}{2} w^3 - \frac{5}{2} w^2 - \frac{7}{2} w + 3]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 61.2-c |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[61,61,\frac{3}{2} w^3 - \frac{5}{2} w^2 - \frac{7}{2} w + 3]$ |
$61$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 64.1-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[64, 4, -2 w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 64.1-b |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[64, 4, -2 w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 64.2-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[64,4,-w^3 + w^2 + 5 w - 2]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 64.2-b |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[64,4,-w^3 + w^2 + 5 w - 2]$ |
$64$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 64.3-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[64,8,w^3 - 2 w^2 - 2 w + 5]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 64.3-b |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[64,8,w^3 - 2 w^2 - 2 w + 5]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 64.3-c |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[64,8,w^3 - 2 w^2 - 2 w + 5]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 64.3-d |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[64,8,w^3 - 2 w^2 - 2 w + 5]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 64.3-e |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[64,8,w^3 - 2 w^2 - 2 w + 5]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 64.4-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[64, 8, w^3 - 4 w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 64.4-b |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[64, 8, w^3 - 4 w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 64.4-c |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[64, 8, w^3 - 4 w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 64.4-d |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[64, 8, w^3 - 4 w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 64.4-e |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[64, 8, w^3 - 4 w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 71.1-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[71, 71, \frac{1}{2} w^3 - \frac{3}{2} w^2 - \frac{5}{2} w + 6]$ |
$71$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 71.1-b |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[71, 71, \frac{1}{2} w^3 - \frac{3}{2} w^2 - \frac{5}{2} w + 6]$ |
$71$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 71.1-c |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[71, 71, \frac{1}{2} w^3 - \frac{3}{2} w^2 - \frac{5}{2} w + 6]$ |
$71$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 71.2-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[71, 71, -\frac{1}{2} w^3 + \frac{5}{2} w^2 - \frac{1}{2} w - 5]$ |
$71$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 71.2-b |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[71, 71, -\frac{1}{2} w^3 + \frac{5}{2} w^2 - \frac{1}{2} w - 5]$ |
$71$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 71.2-c |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[71, 71, -\frac{1}{2} w^3 + \frac{5}{2} w^2 - \frac{1}{2} w - 5]$ |
$71$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 71.3-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[71,71,-\frac{1}{2} w^3 - \frac{3}{2} w^2 + \frac{7}{2} w + 5]$ |
$71$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 71.3-b |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[71,71,-\frac{1}{2} w^3 - \frac{3}{2} w^2 + \frac{7}{2} w + 5]$ |
$71$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 71.3-c |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[71,71,-\frac{1}{2} w^3 - \frac{3}{2} w^2 + \frac{7}{2} w + 5]$ |
$71$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 71.4-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[71,71,-\frac{1}{2} w^3 + \frac{3}{2} w^2 + \frac{5}{2} w - 1]$ |
$71$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 71.4-b |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[71,71,-\frac{1}{2} w^3 + \frac{3}{2} w^2 + \frac{5}{2} w - 1]$ |
$71$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 71.4-c |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[71,71,-\frac{1}{2} w^3 + \frac{3}{2} w^2 + \frac{5}{2} w - 1]$ |
$71$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 76.1-a |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[76, 38, \frac{1}{2} w^3 + \frac{3}{2} w^2 - \frac{5}{2} w - 5]$ |
$76$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 76.1-b |
\(\Q(\sqrt{38 +2 \sqrt{5}})\) |
$4$ |
$2225$ |
$[76, 38, \frac{1}{2} w^3 + \frac{3}{2} w^2 - \frac{5}{2} w - 5]$ |
$76$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
