| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
4.4.13968.1 |
$4$ |
$13968$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 1.1-b |
4.4.13968.1 |
$4$ |
$13968$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 1.1-c |
4.4.13968.1 |
$4$ |
$13968$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 1.1-d |
4.4.13968.1 |
$4$ |
$13968$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 1.1-e |
4.4.13968.1 |
$4$ |
$13968$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
✓ |
✓ |
| 4.1-a |
4.4.13968.1 |
$4$ |
$13968$ |
$[4, 2, w]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
|
| 4.2-a |
4.4.13968.1 |
$4$ |
$13968$ |
$[4, 2, -\frac{1}{2}w^{2} + \frac{1}{2}w + 3]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 4.2-b |
4.4.13968.1 |
$4$ |
$13968$ |
$[4, 2, -\frac{1}{2}w^{2} + \frac{1}{2}w + 3]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 4.2-c |
4.4.13968.1 |
$4$ |
$13968$ |
$[4, 2, -\frac{1}{2}w^{2} + \frac{1}{2}w + 3]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 4.2-d |
4.4.13968.1 |
$4$ |
$13968$ |
$[4, 2, -\frac{1}{2}w^{2} + \frac{1}{2}w + 3]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 4.2-e |
4.4.13968.1 |
$4$ |
$13968$ |
$[4, 2, -\frac{1}{2}w^{2} + \frac{1}{2}w + 3]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 4.2-f |
4.4.13968.1 |
$4$ |
$13968$ |
$[4, 2, -\frac{1}{2}w^{2} + \frac{1}{2}w + 3]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 4.3-a |
4.4.13968.1 |
$4$ |
$13968$ |
$[4,2,-w + 1]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
|
| 8.1-a |
4.4.13968.1 |
$4$ |
$13968$ |
$[8, 2, -\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 3w - 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.1-b |
4.4.13968.1 |
$4$ |
$13968$ |
$[8, 2, -\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 3w - 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.2-a |
4.4.13968.1 |
$4$ |
$13968$ |
$[8,2,\frac{1}{2}w^{3} - w^{2} - \frac{5}{2}w + 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.2-b |
4.4.13968.1 |
$4$ |
$13968$ |
$[8,2,\frac{1}{2}w^{3} - w^{2} - \frac{5}{2}w + 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.3-a |
4.4.13968.1 |
$4$ |
$13968$ |
$[8, 4, w + 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.3-b |
4.4.13968.1 |
$4$ |
$13968$ |
$[8, 4, w + 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.3-c |
4.4.13968.1 |
$4$ |
$13968$ |
$[8, 4, w + 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.3-d |
4.4.13968.1 |
$4$ |
$13968$ |
$[8, 4, w + 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.4-a |
4.4.13968.1 |
$4$ |
$13968$ |
$[8,4,-w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.4-b |
4.4.13968.1 |
$4$ |
$13968$ |
$[8,4,-w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.4-c |
4.4.13968.1 |
$4$ |
$13968$ |
$[8,4,-w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.4-d |
4.4.13968.1 |
$4$ |
$13968$ |
$[8,4,-w + 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.1-a |
4.4.13968.1 |
$4$ |
$13968$ |
$[9, 3, -\frac{1}{2}w^{2} + \frac{1}{2}w + 2]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.1-b |
4.4.13968.1 |
$4$ |
$13968$ |
$[9, 3, -\frac{1}{2}w^{2} + \frac{1}{2}w + 2]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.1-c |
4.4.13968.1 |
$4$ |
$13968$ |
$[9, 3, -\frac{1}{2}w^{2} + \frac{1}{2}w + 2]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 9.1-d |
4.4.13968.1 |
$4$ |
$13968$ |
$[9, 3, -\frac{1}{2}w^{2} + \frac{1}{2}w + 2]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 9.1-e |
4.4.13968.1 |
$4$ |
$13968$ |
$[9, 3, -\frac{1}{2}w^{2} + \frac{1}{2}w + 2]$ |
$9$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 13.1-a |
4.4.13968.1 |
$4$ |
$13968$ |
$[13, 13, \frac{1}{2}w^{3} - w^{2} - \frac{5}{2}w + 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 13.1-b |
4.4.13968.1 |
$4$ |
$13968$ |
$[13, 13, \frac{1}{2}w^{3} - w^{2} - \frac{5}{2}w + 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 13.1-c |
4.4.13968.1 |
$4$ |
$13968$ |
$[13, 13, \frac{1}{2}w^{3} - w^{2} - \frac{5}{2}w + 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 13.1-d |
4.4.13968.1 |
$4$ |
$13968$ |
$[13, 13, \frac{1}{2}w^{3} - w^{2} - \frac{5}{2}w + 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 13.1-e |
4.4.13968.1 |
$4$ |
$13968$ |
$[13, 13, \frac{1}{2}w^{3} - w^{2} - \frac{5}{2}w + 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 13.1-f |
4.4.13968.1 |
$4$ |
$13968$ |
$[13, 13, \frac{1}{2}w^{3} - w^{2} - \frac{5}{2}w + 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$22$ |
|
|
| 13.2-a |
4.4.13968.1 |
$4$ |
$13968$ |
$[13,13,-\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 3w - 1]$ |
$13$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 13.2-b |
4.4.13968.1 |
$4$ |
$13968$ |
$[13,13,-\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 3w - 1]$ |
$13$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 13.2-c |
4.4.13968.1 |
$4$ |
$13968$ |
$[13,13,-\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 3w - 1]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 13.2-d |
4.4.13968.1 |
$4$ |
$13968$ |
$[13,13,-\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 3w - 1]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 13.2-e |
4.4.13968.1 |
$4$ |
$13968$ |
$[13,13,-\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 3w - 1]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 13.2-f |
4.4.13968.1 |
$4$ |
$13968$ |
$[13,13,-\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 3w - 1]$ |
$13$ |
$[2, 2, 2, 2]$ |
$22$ |
|
|
| 16.1-a |
4.4.13968.1 |
$4$ |
$13968$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 16.1-b |
4.4.13968.1 |
$4$ |
$13968$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
✓ |
✓ |
| 16.2-a |
4.4.13968.1 |
$4$ |
$13968$ |
$[16, 4, -\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 4w + 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.2-b |
4.4.13968.1 |
$4$ |
$13968$ |
$[16, 4, -\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 4w + 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.2-c |
4.4.13968.1 |
$4$ |
$13968$ |
$[16, 4, -\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 4w + 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.2-d |
4.4.13968.1 |
$4$ |
$13968$ |
$[16, 4, -\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 4w + 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.2-e |
4.4.13968.1 |
$4$ |
$13968$ |
$[16, 4, -\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 4w + 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
|
| 16.2-f |
4.4.13968.1 |
$4$ |
$13968$ |
$[16, 4, -\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 4w + 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
