Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
1.1-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
2.1-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[2, 2, w]$ |
$2$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
2.1-b |
4.4.15188.1 |
$4$ |
$15188$ |
$[2, 2, w]$ |
$2$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
4.1-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[4, 2, \frac{1}{2}w^{3} - w^{2} - \frac{5}{2}w + 3]$ |
$4$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
4.1-b |
4.4.15188.1 |
$4$ |
$15188$ |
$[4, 2, \frac{1}{2}w^{3} - w^{2} - \frac{5}{2}w + 3]$ |
$4$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
4.3-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[4, 4, \frac{1}{2}w^{3} - w^{2} - \frac{7}{2}w + 3]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
4.3-b |
4.4.15188.1 |
$4$ |
$15188$ |
$[4, 4, \frac{1}{2}w^{3} - w^{2} - \frac{7}{2}w + 3]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.1-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[8, 2, w^{3} - w^{2} - 6w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.1-b |
4.4.15188.1 |
$4$ |
$15188$ |
$[8, 2, w^{3} - w^{2} - 6w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.2-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[8, 2, w^{3} - w^{2} - 7w + 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
8.2-b |
4.4.15188.1 |
$4$ |
$15188$ |
$[8, 2, w^{3} - w^{2} - 7w + 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
8.3-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[8, 4, -\frac{1}{2}w^{3} + w^{2} + \frac{5}{2}w - 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.3-b |
4.4.15188.1 |
$4$ |
$15188$ |
$[8, 4, -\frac{1}{2}w^{3} + w^{2} + \frac{5}{2}w - 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.4-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[8, 8, -w^{3} + w^{2} + 7w - 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.4-b |
4.4.15188.1 |
$4$ |
$15188$ |
$[8, 8, -w^{3} + w^{2} + 7w - 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.4-c |
4.4.15188.1 |
$4$ |
$15188$ |
$[8, 8, -w^{3} + w^{2} + 7w - 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
8.4-d |
4.4.15188.1 |
$4$ |
$15188$ |
$[8, 8, -w^{3} + w^{2} + 7w - 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
8.4-e |
4.4.15188.1 |
$4$ |
$15188$ |
$[8, 8, -w^{3} + w^{2} + 7w - 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
8.4-f |
4.4.15188.1 |
$4$ |
$15188$ |
$[8, 8, -w^{3} + w^{2} + 7w - 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
11.1-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[11, 11, \frac{1}{2}w^{3} - w^{2} - \frac{5}{2}w + 4]$ |
$11$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
11.1-b |
4.4.15188.1 |
$4$ |
$15188$ |
$[11, 11, \frac{1}{2}w^{3} - w^{2} - \frac{5}{2}w + 4]$ |
$11$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
11.1-c |
4.4.15188.1 |
$4$ |
$15188$ |
$[11, 11, \frac{1}{2}w^{3} - w^{2} - \frac{5}{2}w + 4]$ |
$11$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
11.1-d |
4.4.15188.1 |
$4$ |
$15188$ |
$[11, 11, \frac{1}{2}w^{3} - w^{2} - \frac{5}{2}w + 4]$ |
$11$ |
$[2, 2, 2, 2]$ |
$16$ |
|
|
11.2-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[11, 11, -w^{3} + w^{2} + 6w + 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
11.2-b |
4.4.15188.1 |
$4$ |
$15188$ |
$[11, 11, -w^{3} + w^{2} + 6w + 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
13.1-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[13, 13, -w^{3} + w^{2} + 6w - 3]$ |
$13$ |
$[2, 2, 2, 2]$ |
$18$ |
|
|
13.1-b |
4.4.15188.1 |
$4$ |
$15188$ |
$[13, 13, -w^{3} + w^{2} + 6w - 3]$ |
$13$ |
$[2, 2, 2, 2]$ |
$18$ |
|
|
16.1-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-b |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-c |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-d |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-e |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
16.1-f |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
16.2-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 4, w^{2} + w - 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
16.3-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 4, w^{2} - 2w - 3]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
16.3-b |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 4, w^{2} - 2w - 3]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
16.3-c |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 4, w^{2} - 2w - 3]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
16.3-d |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 4, w^{2} - 2w - 3]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
16.3-e |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 4, w^{2} - 2w - 3]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
16.3-f |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 4, w^{2} - 2w - 3]$ |
$16$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
16.4-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 8, -\frac{1}{2}w^{3} + w^{2} + \frac{5}{2}w - 5]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.4-b |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 8, -\frac{1}{2}w^{3} + w^{2} + \frac{5}{2}w - 5]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.4-c |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 8, -\frac{1}{2}w^{3} + w^{2} + \frac{5}{2}w - 5]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.4-d |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 8, -\frac{1}{2}w^{3} + w^{2} + \frac{5}{2}w - 5]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.4-e |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 8, -\frac{1}{2}w^{3} + w^{2} + \frac{5}{2}w - 5]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
16.4-f |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 8, -\frac{1}{2}w^{3} + w^{2} + \frac{5}{2}w - 5]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
16.5-a |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 16, -w + 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.5-b |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 16, -w + 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.5-c |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 16, -w + 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
16.5-d |
4.4.15188.1 |
$4$ |
$15188$ |
$[16, 16, -w + 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|