| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
4.4.7168.1 |
$4$ |
$7168$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 9.1-a |
4.4.7168.1 |
$4$ |
$7168$ |
$[9, 3, w^{2} + w - 1]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.1-b |
4.4.7168.1 |
$4$ |
$7168$ |
$[9, 3, w^{2} + w - 1]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.2-a |
4.4.7168.1 |
$4$ |
$7168$ |
$[9,3,w^{2} - w - 1]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.2-b |
4.4.7168.1 |
$4$ |
$7168$ |
$[9,3,w^{2} - w - 1]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 14.1-a |
4.4.7168.1 |
$4$ |
$7168$ |
$[14, 14, w^{3} + 2w^{2} - 4w - 7]$ |
$14$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 14.1-b |
4.4.7168.1 |
$4$ |
$7168$ |
$[14, 14, w^{3} + 2w^{2} - 4w - 7]$ |
$14$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 16.1-a |
4.4.7168.1 |
$4$ |
$7168$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 17.1-a |
4.4.7168.1 |
$4$ |
$7168$ |
$[17, 17, -w^{3} + 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-b |
4.4.7168.1 |
$4$ |
$7168$ |
$[17, 17, -w^{3} + 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-c |
4.4.7168.1 |
$4$ |
$7168$ |
$[17, 17, -w^{3} + 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-d |
4.4.7168.1 |
$4$ |
$7168$ |
$[17, 17, -w^{3} + 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-e |
4.4.7168.1 |
$4$ |
$7168$ |
$[17, 17, -w^{3} + 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 17.1-f |
4.4.7168.1 |
$4$ |
$7168$ |
$[17, 17, -w^{3} + 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 17.2-a |
4.4.7168.1 |
$4$ |
$7168$ |
$[17,17,w^{3} - 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.2-b |
4.4.7168.1 |
$4$ |
$7168$ |
$[17,17,w^{3} - 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.2-c |
4.4.7168.1 |
$4$ |
$7168$ |
$[17,17,w^{3} - 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.2-d |
4.4.7168.1 |
$4$ |
$7168$ |
$[17,17,w^{3} - 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.2-e |
4.4.7168.1 |
$4$ |
$7168$ |
$[17,17,w^{3} - 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 17.2-f |
4.4.7168.1 |
$4$ |
$7168$ |
$[17,17,w^{3} - 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 18.1-a |
4.4.7168.1 |
$4$ |
$7168$ |
$[18, 6, -w^{2} - w + 4]$ |
$18$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 18.1-b |
4.4.7168.1 |
$4$ |
$7168$ |
$[18, 6, -w^{2} - w + 4]$ |
$18$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 18.2-a |
4.4.7168.1 |
$4$ |
$7168$ |
$[18,6,-w^{2} + w + 4]$ |
$18$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 18.2-b |
4.4.7168.1 |
$4$ |
$7168$ |
$[18,6,-w^{2} + w + 4]$ |
$18$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 23.1-a |
4.4.7168.1 |
$4$ |
$7168$ |
$[23, 23, -w^{3} - w^{2} + 3w + 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 23.1-b |
4.4.7168.1 |
$4$ |
$7168$ |
$[23, 23, -w^{3} - w^{2} + 3w + 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 23.2-a |
4.4.7168.1 |
$4$ |
$7168$ |
$[23,23,w^{3} - w^{2} - 3w + 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 23.2-b |
4.4.7168.1 |
$4$ |
$7168$ |
$[23,23,w^{3} - w^{2} - 3w + 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 28.1-a |
4.4.7168.1 |
$4$ |
$7168$ |
$[28, 14, -w^{3} + 3w]$ |
$28$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 28.1-b |
4.4.7168.1 |
$4$ |
$7168$ |
$[28, 14, -w^{3} + 3w]$ |
$28$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 28.1-c |
4.4.7168.1 |
$4$ |
$7168$ |
$[28, 14, -w^{3} + 3w]$ |
$28$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 28.1-d |
4.4.7168.1 |
$4$ |
$7168$ |
$[28, 14, -w^{3} + 3w]$ |
$28$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 32.1-a |
4.4.7168.1 |
$4$ |
$7168$ |
$[32, 4, 2w + 2]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-b |
4.4.7168.1 |
$4$ |
$7168$ |
$[32, 4, 2w + 2]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-c |
4.4.7168.1 |
$4$ |
$7168$ |
$[32, 4, 2w + 2]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 32.1-d |
4.4.7168.1 |
$4$ |
$7168$ |
$[32, 4, 2w + 2]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 32.1-e |
4.4.7168.1 |
$4$ |
$7168$ |
$[32, 4, 2w + 2]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-f |
4.4.7168.1 |
$4$ |
$7168$ |
$[32, 4, 2w + 2]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-g |
4.4.7168.1 |
$4$ |
$7168$ |
$[32, 4, 2w + 2]$ |
$32$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 32.1-h |
4.4.7168.1 |
$4$ |
$7168$ |
$[32, 4, 2w + 2]$ |
$32$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 34.1-a |
4.4.7168.1 |
$4$ |
$7168$ |
$[34, 34, -w - 3]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 34.1-b |
4.4.7168.1 |
$4$ |
$7168$ |
$[34, 34, -w - 3]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 34.1-c |
4.4.7168.1 |
$4$ |
$7168$ |
$[34, 34, -w - 3]$ |
$34$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 34.1-d |
4.4.7168.1 |
$4$ |
$7168$ |
$[34, 34, -w - 3]$ |
$34$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 34.1-e |
4.4.7168.1 |
$4$ |
$7168$ |
$[34, 34, -w - 3]$ |
$34$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 34.1-f |
4.4.7168.1 |
$4$ |
$7168$ |
$[34, 34, -w - 3]$ |
$34$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 34.2-a |
4.4.7168.1 |
$4$ |
$7168$ |
$[34,34,w - 3]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 34.2-b |
4.4.7168.1 |
$4$ |
$7168$ |
$[34,34,w - 3]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 34.2-c |
4.4.7168.1 |
$4$ |
$7168$ |
$[34,34,w - 3]$ |
$34$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 34.2-d |
4.4.7168.1 |
$4$ |
$7168$ |
$[34,34,w - 3]$ |
$34$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
