| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 1.1-b |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 1.1-c |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 1.1-d |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 1.1-e |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 4.1-a |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[4, 2, w]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 4.2-a |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[4, 2, -\frac{1}{2} w^3 + \frac{5}{2} w + 1]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 4.2-b |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[4, 2, -\frac{1}{2} w^3 + \frac{5}{2} w + 1]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 4.2-c |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[4, 2, -\frac{1}{2} w^3 + \frac{5}{2} w + 1]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 4.2-d |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[4, 2, -\frac{1}{2} w^3 + \frac{5}{2} w + 1]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 4.2-e |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[4, 2, -\frac{1}{2} w^3 + \frac{5}{2} w + 1]$ |
$4$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 4.2-f |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[4, 2, -\frac{1}{2} w^3 + \frac{5}{2} w + 1]$ |
$4$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 4.3-a |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[4,2,-\frac{1}{2} w^3 + \frac{7}{2} w]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 8.1-a |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[8,2,w^3 - w^2 - 6 w + 6]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.1-b |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[8,2,w^3 - w^2 - 6 w + 6]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.2-a |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[8, 2, -\frac{1}{2} w^3 + w^2 + \frac{3}{2} w - 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.2-b |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[8, 2, -\frac{1}{2} w^3 + w^2 + \frac{3}{2} w - 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.3-a |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[8, 4, w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 8.3-b |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[8, 4, w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.3-c |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[8, 4, w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.3-d |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[8, 4, w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 8.4-a |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[8,4,-\frac{1}{2} w^3 + \frac{7}{2} w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 8.4-b |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[8,4,-\frac{1}{2} w^3 + \frac{7}{2} w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.4-c |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[8,4,-\frac{1}{2} w^3 + \frac{7}{2} w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.4-d |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[8,4,-\frac{1}{2} w^3 + \frac{7}{2} w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 9.1-a |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[9, 3, \frac{1}{2} w^3 - \frac{5}{2} w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.1-b |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[9, 3, \frac{1}{2} w^3 - \frac{5}{2} w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.1-c |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[9, 3, \frac{1}{2} w^3 - \frac{5}{2} w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.1-d |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[9, 3, \frac{1}{2} w^3 - \frac{5}{2} w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.1-e |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[9, 3, \frac{1}{2} w^3 - \frac{5}{2} w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 9.1-f |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[9, 3, \frac{1}{2} w^3 - \frac{5}{2} w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 9.1-g |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[9, 3, \frac{1}{2} w^3 - \frac{5}{2} w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 9.1-h |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[9, 3, \frac{1}{2} w^3 - \frac{5}{2} w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 9.1-i |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[9, 3, \frac{1}{2} w^3 - \frac{5}{2} w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$12$ |
|
✓ |
| 11.1-a |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[11, 11, -w^2 + w + 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$12$ |
|
|
| 11.1-b |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[11, 11, -w^2 + w + 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$12$ |
|
|
| 11.2-a |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[11,11,-w^2 - w + 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$12$ |
|
|
| 11.2-b |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[11,11,-w^2 - w + 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$12$ |
|
|
| 16.1-a |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 16.1-b |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-c |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-d |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
✓ |
✓ |
| 16.1-e |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
✓ |
✓ |
| 16.2-a |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 4, -w^3 + 6 w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 16.2-b |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 4, -w^3 + 6 w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 16.2-c |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 4, -w^3 + 6 w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 16.2-d |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 4, -w^3 + 6 w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.2-e |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 4, -w^3 + 6 w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 16.2-f |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 4, -w^3 + 6 w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 16.2-g |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 4, -w^3 + 6 w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|