| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 2.2-a |
3.3.316.1 |
$3$ |
$316$ |
$[2, 2, w - 1]$ |
$2$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 4.3-a |
3.3.316.1 |
$3$ |
$316$ |
$[4, 4, w + 1]$ |
$4$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 8.1-a |
3.3.316.1 |
$3$ |
$316$ |
$[8, 2, 2]$ |
$8$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 8.2-a |
3.3.316.1 |
$3$ |
$316$ |
$[8, 4, -w^2 + 2]$ |
$8$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 8.3-a |
3.3.316.1 |
$3$ |
$316$ |
$[8, 4, -w^2 + w + 2]$ |
$8$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 11.1-a |
3.3.316.1 |
$3$ |
$316$ |
$[11, 11, w^2 - w - 1]$ |
$11$ |
$[2, 2, 2]$ |
$5$ |
|
|
| 16.1-a |
3.3.316.1 |
$3$ |
$316$ |
$[16, 4, -2 w]$ |
$16$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 16.2-a |
3.3.316.1 |
$3$ |
$316$ |
$[16, 4, -w^2 + 2 w + 2]$ |
$16$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 16.4-a |
3.3.316.1 |
$3$ |
$316$ |
$[16, 8, w^2 - w - 6]$ |
$16$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 16.5-a |
3.3.316.1 |
$3$ |
$316$ |
$[16, 16, 2 w^2 - w - 7]$ |
$16$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 16.5-b |
3.3.316.1 |
$3$ |
$316$ |
$[16, 16, 2 w^2 - w - 7]$ |
$16$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 17.1-a |
3.3.316.1 |
$3$ |
$316$ |
$[17, 17, -w^2 - w + 3]$ |
$17$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 17.1-b |
3.3.316.1 |
$3$ |
$316$ |
$[17, 17, -w^2 - w + 3]$ |
$17$ |
$[2, 2, 2]$ |
$3$ |
|
|
| 19.1-a |
3.3.316.1 |
$3$ |
$316$ |
$[19, 19, w^2 - w + 1]$ |
$19$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 19.1-b |
3.3.316.1 |
$3$ |
$316$ |
$[19, 19, w^2 - w + 1]$ |
$19$ |
$[2, 2, 2]$ |
$6$ |
|
|
| 22.1-a |
3.3.316.1 |
$3$ |
$316$ |
$[22, 22, w + 3]$ |
$22$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 22.2-a |
3.3.316.1 |
$3$ |
$316$ |
$[22, 22, 2 w^2 - w - 10]$ |
$22$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 22.2-b |
3.3.316.1 |
$3$ |
$316$ |
$[22, 22, 2 w^2 - w - 10]$ |
$22$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 22.2-c |
3.3.316.1 |
$3$ |
$316$ |
$[22, 22, 2 w^2 - w - 10]$ |
$22$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 23.1-a |
3.3.316.1 |
$3$ |
$316$ |
$[23, 23, 2 w - 3]$ |
$23$ |
$[2, 2, 2]$ |
$9$ |
|
|
| 27.1-a |
3.3.316.1 |
$3$ |
$316$ |
$[27, 3, 3]$ |
$27$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 27.1-b |
3.3.316.1 |
$3$ |
$316$ |
$[27, 3, 3]$ |
$27$ |
$[2, 2, 2]$ |
$8$ |
|
|
| 29.1-a |
3.3.316.1 |
$3$ |
$316$ |
$[29, 29, 2 w + 1]$ |
$29$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 29.1-b |
3.3.316.1 |
$3$ |
$316$ |
$[29, 29, 2 w + 1]$ |
$29$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 29.1-c |
3.3.316.1 |
$3$ |
$316$ |
$[29, 29, 2 w + 1]$ |
$29$ |
$[2, 2, 2]$ |
$3$ |
|
|
| 29.1-d |
3.3.316.1 |
$3$ |
$316$ |
$[29, 29, 2 w + 1]$ |
$29$ |
$[2, 2, 2]$ |
$3$ |
|
|
| 31.1-a |
3.3.316.1 |
$3$ |
$316$ |
$[31, 31, 2 w^2 - 2 w - 9]$ |
$31$ |
$[2, 2, 2]$ |
$3$ |
|
|
| 31.1-b |
3.3.316.1 |
$3$ |
$316$ |
$[31, 31, 2 w^2 - 2 w - 9]$ |
$31$ |
$[2, 2, 2]$ |
$4$ |
|
|
| 31.1-c |
3.3.316.1 |
$3$ |
$316$ |
$[31, 31, 2 w^2 - 2 w - 9]$ |
$31$ |
$[2, 2, 2]$ |
$4$ |
|
|
| 32.1-a |
3.3.316.1 |
$3$ |
$316$ |
$[32, 4, 2 w^2 - 8]$ |
$32$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 32.1-b |
3.3.316.1 |
$3$ |
$316$ |
$[32, 4, 2 w^2 - 8]$ |
$32$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 32.1-c |
3.3.316.1 |
$3$ |
$316$ |
$[32, 4, 2 w^2 - 8]$ |
$32$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 32.2-a |
3.3.316.1 |
$3$ |
$316$ |
$[32, 4, 2 w^2 - 2 w - 8]$ |
$32$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 32.3-a |
3.3.316.1 |
$3$ |
$316$ |
$[32, 8, -w^2 + 2 w - 2]$ |
$32$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 32.3-b |
3.3.316.1 |
$3$ |
$316$ |
$[32, 8, -w^2 + 2 w - 2]$ |
$32$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 32.3-c |
3.3.316.1 |
$3$ |
$316$ |
$[32, 8, -w^2 + 2 w - 2]$ |
$32$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 32.4-a |
3.3.316.1 |
$3$ |
$316$ |
$[32, 8, 2 w + 2]$ |
$32$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 32.5-a |
3.3.316.1 |
$3$ |
$316$ |
$[32, 16, -w^2 - w + 4]$ |
$32$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 32.5-b |
3.3.316.1 |
$3$ |
$316$ |
$[32, 16, -w^2 - w + 4]$ |
$32$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 32.6-a |
3.3.316.1 |
$3$ |
$316$ |
$[32, 32, -w^2 + 2 w + 3]$ |
$32$ |
$[2, 2, 2]$ |
$1$ |
✓ |
|
| 32.6-b |
3.3.316.1 |
$3$ |
$316$ |
$[32, 32, -w^2 + 2 w + 3]$ |
$32$ |
$[2, 2, 2]$ |
$3$ |
✓ |
|
| 34.1-a |
3.3.316.1 |
$3$ |
$316$ |
$[34, 34, -w^2 - 1]$ |
$34$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 34.1-b |
3.3.316.1 |
$3$ |
$316$ |
$[34, 34, -w^2 - 1]$ |
$34$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 34.1-c |
3.3.316.1 |
$3$ |
$316$ |
$[34, 34, -w^2 - 1]$ |
$34$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 34.2-a |
3.3.316.1 |
$3$ |
$316$ |
$[34, 34, -w + 4]$ |
$34$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 34.2-b |
3.3.316.1 |
$3$ |
$316$ |
$[34, 34, -w + 4]$ |
$34$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 34.2-c |
3.3.316.1 |
$3$ |
$316$ |
$[34, 34, -w + 4]$ |
$34$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 37.1-a |
3.3.316.1 |
$3$ |
$316$ |
$[37, 37, 2 w^2 - 2 w - 5]$ |
$37$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 37.1-b |
3.3.316.1 |
$3$ |
$316$ |
$[37, 37, 2 w^2 - 2 w - 5]$ |
$37$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 37.1-c |
3.3.316.1 |
$3$ |
$316$ |
$[37, 37, 2 w^2 - 2 w - 5]$ |
$37$ |
$[2, 2, 2]$ |
$4$ |
|
|