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 |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[8,2,w^{3} - w^{2} - 6w + 6]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
8.1-b |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[8,2,w^{3} - w^{2} - 6w + 6]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
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 |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 4, -w^{3} + 6w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
16.2-b |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 4, -w^{3} + 6w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
16.2-c |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 4, -w^{3} + 6w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
16.2-d |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 4, -w^{3} + 6w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
16.2-e |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 4, -w^{3} + 6w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
16.2-f |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 4, -w^{3} + 6w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
16.2-g |
\(\Q(\sqrt{3}, \sqrt{11})\) |
$4$ |
$17424$ |
$[16, 4, -w^{3} + 6w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|