| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
4.4.8957.1 |
$4$ |
$8957$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 9.1-a |
4.4.8957.1 |
$4$ |
$8957$ |
$[9, 3, w^{3} - w^{2} - 4w + 1]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.1-b |
4.4.8957.1 |
$4$ |
$8957$ |
$[9, 3, w^{3} - w^{2} - 4w + 1]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.1-c |
4.4.8957.1 |
$4$ |
$8957$ |
$[9, 3, w^{3} - w^{2} - 4w + 1]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 9.1-d |
4.4.8957.1 |
$4$ |
$8957$ |
$[9, 3, w^{3} - w^{2} - 4w + 1]$ |
$9$ |
$[2, 2, 2, 2]$ |
$3$ |
|
✓ |
| 9.2-a |
4.4.8957.1 |
$4$ |
$8957$ |
$[9, 3, w^{3} - w^{2} - 4w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.2-b |
4.4.8957.1 |
$4$ |
$8957$ |
$[9, 3, w^{3} - w^{2} - 4w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$5$ |
|
✓ |
| 9.3-a |
4.4.8957.1 |
$4$ |
$8957$ |
$[9, 9, w^{3} - w^{2} - 5w - 1]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.3-b |
4.4.8957.1 |
$4$ |
$8957$ |
$[9, 9, w^{3} - w^{2} - 5w - 1]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.4-a |
4.4.8957.1 |
$4$ |
$8957$ |
$[9,9,w - 2]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.4-b |
4.4.8957.1 |
$4$ |
$8957$ |
$[9,9,w - 2]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 13.1-a |
4.4.8957.1 |
$4$ |
$8957$ |
$[13, 13, -2w^{3} + w^{2} + 11w + 3]$ |
$13$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 13.1-b |
4.4.8957.1 |
$4$ |
$8957$ |
$[13, 13, -2w^{3} + w^{2} + 11w + 3]$ |
$13$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
| 13.2-a |
4.4.8957.1 |
$4$ |
$8957$ |
$[13,13,w^{2} - 3w]$ |
$13$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 13.2-b |
4.4.8957.1 |
$4$ |
$8957$ |
$[13,13,w^{2} - 3w]$ |
$13$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
| 16.1-a |
4.4.8957.1 |
$4$ |
$8957$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-b |
4.4.8957.1 |
$4$ |
$8957$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-c |
4.4.8957.1 |
$4$ |
$8957$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 16.1-d |
4.4.8957.1 |
$4$ |
$8957$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 16.1-e |
4.4.8957.1 |
$4$ |
$8957$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 23.1-a |
4.4.8957.1 |
$4$ |
$8957$ |
$[23, 23, -w^{2} + 2]$ |
$23$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 23.1-b |
4.4.8957.1 |
$4$ |
$8957$ |
$[23, 23, -w^{2} + 2]$ |
$23$ |
$[2, 2, 2, 2]$ |
$11$ |
|
|
| 23.2-a |
4.4.8957.1 |
$4$ |
$8957$ |
$[23,23,-w^{3} + 2w^{2} + 4w - 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 23.2-b |
4.4.8957.1 |
$4$ |
$8957$ |
$[23,23,-w^{3} + 2w^{2} + 4w - 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$11$ |
|
|
| 27.1-a |
4.4.8957.1 |
$4$ |
$8957$ |
$[27, 3, -w^{3} + 2w^{2} + 3w - 1]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-b |
4.4.8957.1 |
$4$ |
$8957$ |
$[27, 3, -w^{3} + 2w^{2} + 3w - 1]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-c |
4.4.8957.1 |
$4$ |
$8957$ |
$[27, 3, -w^{3} + 2w^{2} + 3w - 1]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-d |
4.4.8957.1 |
$4$ |
$8957$ |
$[27, 3, -w^{3} + 2w^{2} + 3w - 1]$ |
$27$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 27.1-e |
4.4.8957.1 |
$4$ |
$8957$ |
$[27, 3, -w^{3} + 2w^{2} + 3w - 1]$ |
$27$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 27.1-f |
4.4.8957.1 |
$4$ |
$8957$ |
$[27, 3, -w^{3} + 2w^{2} + 3w - 1]$ |
$27$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 27.1-g |
4.4.8957.1 |
$4$ |
$8957$ |
$[27, 3, -w^{3} + 2w^{2} + 3w - 1]$ |
$27$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 27.2-a |
4.4.8957.1 |
$4$ |
$8957$ |
$[27,3,-w^{3} + 5w + 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.2-b |
4.4.8957.1 |
$4$ |
$8957$ |
$[27,3,-w^{3} + 5w + 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.2-c |
4.4.8957.1 |
$4$ |
$8957$ |
$[27,3,-w^{3} + 5w + 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.2-d |
4.4.8957.1 |
$4$ |
$8957$ |
$[27,3,-w^{3} + 5w + 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 27.2-e |
4.4.8957.1 |
$4$ |
$8957$ |
$[27,3,-w^{3} + 5w + 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 27.2-f |
4.4.8957.1 |
$4$ |
$8957$ |
$[27,3,-w^{3} + 5w + 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 27.2-g |
4.4.8957.1 |
$4$ |
$8957$ |
$[27,3,-w^{3} + 5w + 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 27.3-a |
4.4.8957.1 |
$4$ |
$8957$ |
$[27, 9, w^{2} - 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.3-b |
4.4.8957.1 |
$4$ |
$8957$ |
$[27, 9, w^{2} - 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.3-c |
4.4.8957.1 |
$4$ |
$8957$ |
$[27, 9, w^{2} - 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.3-d |
4.4.8957.1 |
$4$ |
$8957$ |
$[27, 9, w^{2} - 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.3-e |
4.4.8957.1 |
$4$ |
$8957$ |
$[27, 9, w^{2} - 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 27.3-f |
4.4.8957.1 |
$4$ |
$8957$ |
$[27, 9, w^{2} - 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 27.4-a |
4.4.8957.1 |
$4$ |
$8957$ |
$[27,9,w^{3} - 2w^{2} - 4w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.4-b |
4.4.8957.1 |
$4$ |
$8957$ |
$[27,9,w^{3} - 2w^{2} - 4w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.4-c |
4.4.8957.1 |
$4$ |
$8957$ |
$[27,9,w^{3} - 2w^{2} - 4w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.4-d |
4.4.8957.1 |
$4$ |
$8957$ |
$[27,9,w^{3} - 2w^{2} - 4w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.4-e |
4.4.8957.1 |
$4$ |
$8957$ |
$[27,9,w^{3} - 2w^{2} - 4w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 27.4-f |
4.4.8957.1 |
$4$ |
$8957$ |
$[27,9,w^{3} - 2w^{2} - 4w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
