Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
1.1-a |
4.4.4352.1 |
$4$ |
$4352$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
✓ |
✓ |
8.1-a |
4.4.4352.1 |
$4$ |
$4352$ |
$[8, 2, w^{3} - 2w^{2} - 4w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.1-b |
4.4.4352.1 |
$4$ |
$4352$ |
$[8, 2, w^{3} - 2w^{2} - 4w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-a |
4.4.4352.1 |
$4$ |
$4352$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
16.1-b |
4.4.4352.1 |
$4$ |
$4352$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
17.1-a |
4.4.4352.1 |
$4$ |
$4352$ |
$[17, 17, -w^{3} + 2w^{2} + 4w - 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
17.1-b |
4.4.4352.1 |
$4$ |
$4352$ |
$[17, 17, -w^{3} + 2w^{2} + 4w - 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
17.1-c |
4.4.4352.1 |
$4$ |
$4352$ |
$[17, 17, -w^{3} + 2w^{2} + 4w - 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
23.1-a |
4.4.4352.1 |
$4$ |
$4352$ |
$[23, 23, -2w^{3} + 2w^{2} + 9w + 1]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
23.1-b |
4.4.4352.1 |
$4$ |
$4352$ |
$[23, 23, -2w^{3} + 2w^{2} + 9w + 1]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
23.2-a |
4.4.4352.1 |
$4$ |
$4352$ |
$[23,23,-w^{3} + w^{2} + 3w + 1]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
23.2-b |
4.4.4352.1 |
$4$ |
$4352$ |
$[23,23,-w^{3} + w^{2} + 3w + 1]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
28.1-a |
4.4.4352.1 |
$4$ |
$4352$ |
$[28, 14, w^{2} - 4]$ |
$28$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
28.1-b |
4.4.4352.1 |
$4$ |
$4352$ |
$[28, 14, w^{2} - 4]$ |
$28$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
28.2-a |
4.4.4352.1 |
$4$ |
$4352$ |
$[28,14,2w^{3} - 3w^{2} - 8w + 2]$ |
$28$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
28.2-b |
4.4.4352.1 |
$4$ |
$4352$ |
$[28,14,2w^{3} - 3w^{2} - 8w + 2]$ |
$28$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-a |
4.4.4352.1 |
$4$ |
$4352$ |
$[31, 31, w^{2} - w - 1]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-b |
4.4.4352.1 |
$4$ |
$4352$ |
$[31, 31, w^{2} - w - 1]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-c |
4.4.4352.1 |
$4$ |
$4352$ |
$[31, 31, w^{2} - w - 1]$ |
$31$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
31.1-d |
4.4.4352.1 |
$4$ |
$4352$ |
$[31, 31, w^{2} - w - 1]$ |
$31$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
31.2-a |
4.4.4352.1 |
$4$ |
$4352$ |
$[31,31,w^{3} - 2w^{2} - 3w + 5]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.2-b |
4.4.4352.1 |
$4$ |
$4352$ |
$[31,31,w^{3} - 2w^{2} - 3w + 5]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.2-c |
4.4.4352.1 |
$4$ |
$4352$ |
$[31,31,w^{3} - 2w^{2} - 3w + 5]$ |
$31$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
31.2-d |
4.4.4352.1 |
$4$ |
$4352$ |
$[31,31,w^{3} - 2w^{2} - 3w + 5]$ |
$31$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
32.1-a |
4.4.4352.1 |
$4$ |
$4352$ |
$[32, 4, -2w]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
32.1-b |
4.4.4352.1 |
$4$ |
$4352$ |
$[32, 4, -2w]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
32.1-c |
4.4.4352.1 |
$4$ |
$4352$ |
$[32, 4, -2w]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
32.1-d |
4.4.4352.1 |
$4$ |
$4352$ |
$[32, 4, -2w]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
34.1-a |
4.4.4352.1 |
$4$ |
$4352$ |
$[34, 34, w^{2} - w - 6]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
34.1-b |
4.4.4352.1 |
$4$ |
$4352$ |
$[34, 34, w^{2} - w - 6]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
34.1-c |
4.4.4352.1 |
$4$ |
$4352$ |
$[34, 34, w^{2} - w - 6]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
34.1-d |
4.4.4352.1 |
$4$ |
$4352$ |
$[34, 34, w^{2} - w - 6]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
34.1-e |
4.4.4352.1 |
$4$ |
$4352$ |
$[34, 34, w^{2} - w - 6]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
34.1-f |
4.4.4352.1 |
$4$ |
$4352$ |
$[34, 34, w^{2} - w - 6]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
41.1-a |
4.4.4352.1 |
$4$ |
$4352$ |
$[41, 41, w^{3} - 3w^{2} - 2w + 7]$ |
$41$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
41.1-b |
4.4.4352.1 |
$4$ |
$4352$ |
$[41, 41, w^{3} - 3w^{2} - 2w + 7]$ |
$41$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
41.1-c |
4.4.4352.1 |
$4$ |
$4352$ |
$[41, 41, w^{3} - 3w^{2} - 2w + 7]$ |
$41$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
41.1-d |
4.4.4352.1 |
$4$ |
$4352$ |
$[41, 41, w^{3} - 3w^{2} - 2w + 7]$ |
$41$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
41.1-e |
4.4.4352.1 |
$4$ |
$4352$ |
$[41, 41, w^{3} - 3w^{2} - 2w + 7]$ |
$41$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
41.2-a |
4.4.4352.1 |
$4$ |
$4352$ |
$[41,41,-w^{3} + 3w^{2} + 2w - 5]$ |
$41$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
41.2-b |
4.4.4352.1 |
$4$ |
$4352$ |
$[41,41,-w^{3} + 3w^{2} + 2w - 5]$ |
$41$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
41.2-c |
4.4.4352.1 |
$4$ |
$4352$ |
$[41,41,-w^{3} + 3w^{2} + 2w - 5]$ |
$41$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
41.2-d |
4.4.4352.1 |
$4$ |
$4352$ |
$[41,41,-w^{3} + 3w^{2} + 2w - 5]$ |
$41$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
41.2-e |
4.4.4352.1 |
$4$ |
$4352$ |
$[41,41,-w^{3} + 3w^{2} + 2w - 5]$ |
$41$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
46.1-a |
4.4.4352.1 |
$4$ |
$4352$ |
$[46, 46, -2w^{3} + 3w^{2} + 7w - 4]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
46.1-b |
4.4.4352.1 |
$4$ |
$4352$ |
$[46, 46, -2w^{3} + 3w^{2} + 7w - 4]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
46.1-c |
4.4.4352.1 |
$4$ |
$4352$ |
$[46, 46, -2w^{3} + 3w^{2} + 7w - 4]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
46.1-d |
4.4.4352.1 |
$4$ |
$4352$ |
$[46, 46, -2w^{3} + 3w^{2} + 7w - 4]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
46.1-e |
4.4.4352.1 |
$4$ |
$4352$ |
$[46, 46, -2w^{3} + 3w^{2} + 7w - 4]$ |
$46$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
46.1-f |
4.4.4352.1 |
$4$ |
$4352$ |
$[46, 46, -2w^{3} + 3w^{2} + 7w - 4]$ |
$46$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|