| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 2.1-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[2, 2, w]$ |
$2$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 2.2-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[2,2,-w + 1]$ |
$2$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 4.1-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[4, 2, -w^{2} + w + 4]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 4.1-b |
4.4.15317.1 |
$4$ |
$15317$ |
$[4, 2, -w^{2} + w + 4]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 4.1-c |
4.4.15317.1 |
$4$ |
$15317$ |
$[4, 2, -w^{2} + w + 4]$ |
$4$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 4.1-d |
4.4.15317.1 |
$4$ |
$15317$ |
$[4, 2, -w^{2} + w + 4]$ |
$4$ |
$[2, 2, 2, 2]$ |
$3$ |
|
✓ |
| 4.2-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[4, 2, -w^{2} + w + 1]$ |
$4$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 4.2-b |
4.4.15317.1 |
$4$ |
$15317$ |
$[4, 2, -w^{2} + w + 1]$ |
$4$ |
$[2, 2, 2, 2]$ |
$5$ |
|
✓ |
| 4.3-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[4, 4, -w - 1]$ |
$4$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 4.4-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[4,4,w - 2]$ |
$4$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 8.1-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[8, 2, w^{3} - w^{2} - 5w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.1-b |
4.4.15317.1 |
$4$ |
$15317$ |
$[8, 2, w^{3} - w^{2} - 5w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.1-c |
4.4.15317.1 |
$4$ |
$15317$ |
$[8, 2, w^{3} - w^{2} - 5w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.1-d |
4.4.15317.1 |
$4$ |
$15317$ |
$[8, 2, w^{3} - w^{2} - 5w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.1-e |
4.4.15317.1 |
$4$ |
$15317$ |
$[8, 2, w^{3} - w^{2} - 5w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.1-f |
4.4.15317.1 |
$4$ |
$15317$ |
$[8, 2, w^{3} - w^{2} - 5w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.2-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[8,2,-w^{3} + 2w^{2} + 4w - 5]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.2-b |
4.4.15317.1 |
$4$ |
$15317$ |
$[8,2,-w^{3} + 2w^{2} + 4w - 5]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.2-c |
4.4.15317.1 |
$4$ |
$15317$ |
$[8,2,-w^{3} + 2w^{2} + 4w - 5]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.2-d |
4.4.15317.1 |
$4$ |
$15317$ |
$[8,2,-w^{3} + 2w^{2} + 4w - 5]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.2-e |
4.4.15317.1 |
$4$ |
$15317$ |
$[8,2,-w^{3} + 2w^{2} + 4w - 5]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.2-f |
4.4.15317.1 |
$4$ |
$15317$ |
$[8,2,-w^{3} + 2w^{2} + 4w - 5]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.3-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[8, 4, -w^{3} + w^{2} + 4w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.4-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[8,4,w^{3} - 2w^{2} - 3w + 4]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.5-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[8, 8, -w^{2} + 2w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.5-b |
4.4.15317.1 |
$4$ |
$15317$ |
$[8, 8, -w^{2} + 2w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.5-c |
4.4.15317.1 |
$4$ |
$15317$ |
$[8, 8, -w^{2} + 2w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 8.5-d |
4.4.15317.1 |
$4$ |
$15317$ |
$[8, 8, -w^{2} + 2w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 8.6-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[8,8,-w^{2} + 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.6-b |
4.4.15317.1 |
$4$ |
$15317$ |
$[8,8,-w^{2} + 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.6-c |
4.4.15317.1 |
$4$ |
$15317$ |
$[8,8,-w^{2} + 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 8.6-d |
4.4.15317.1 |
$4$ |
$15317$ |
$[8,8,-w^{2} + 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 16.1-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-b |
4.4.15317.1 |
$4$ |
$15317$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-c |
4.4.15317.1 |
$4$ |
$15317$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-d |
4.4.15317.1 |
$4$ |
$15317$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 16.1-e |
4.4.15317.1 |
$4$ |
$15317$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 16.1-f |
4.4.15317.1 |
$4$ |
$15317$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.2-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[16, 4, -w^{3} + w^{2} + 3w - 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 16.2-b |
4.4.15317.1 |
$4$ |
$15317$ |
$[16, 4, -w^{3} + w^{2} + 3w - 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 16.3-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[16, 4, w^{2} - w - 3]$ |
$16$ |
$[2, 2, 2, 2]$ |
$5$ |
|
✓ |
| 16.3-b |
4.4.15317.1 |
$4$ |
$15317$ |
$[16, 4, w^{2} - w - 3]$ |
$16$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
| 16.3-c |
4.4.15317.1 |
$4$ |
$15317$ |
$[16, 4, w^{2} - w - 3]$ |
$16$ |
$[2, 2, 2, 2]$ |
$16$ |
|
|
| 16.4-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[16, 4, w^{2} - w - 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$5$ |
|
✓ |
| 16.5-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[16,4,w^{3} - 2w^{2} - 2w + 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 16.5-b |
4.4.15317.1 |
$4$ |
$15317$ |
$[16,4,w^{3} - 2w^{2} - 2w + 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 16.6-a |
4.4.15317.1 |
$4$ |
$15317$ |
$[16, 8, w^{2} - 3w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.6-b |
4.4.15317.1 |
$4$ |
$15317$ |
$[16, 8, w^{2} - 3w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.6-c |
4.4.15317.1 |
$4$ |
$15317$ |
$[16, 8, w^{2} - 3w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
