Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
1.1-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
2.2-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[2, 2, w - 1]$ |
$2$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
4.1-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[4, 2, w^{2} - w - 2]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
4.1-b |
4.4.8468.1 |
$4$ |
$8468$ |
$[4, 2, w^{2} - w - 2]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
4.2-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[4, 2, -w^{2} + 3]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.1-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[8, 2, w^{3} - 5w - 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.2-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[8, 2, -w^{3} + w^{2} + 3w - 3]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.2-b |
4.4.8468.1 |
$4$ |
$8468$ |
$[8, 2, -w^{3} + w^{2} + 3w - 3]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.3-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[8, 4, -w^{3} + w^{2} + 4w - 4]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.4-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[8, 8, w^{2} - 2w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
8.4-b |
4.4.8468.1 |
$4$ |
$8468$ |
$[8, 8, w^{2} - 2w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
11.1-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[11, 11, -w^{3} + 5w + 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
11.1-b |
4.4.8468.1 |
$4$ |
$8468$ |
$[11, 11, -w^{3} + 5w + 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
11.1-c |
4.4.8468.1 |
$4$ |
$8468$ |
$[11, 11, -w^{3} + 5w + 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
16.1-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-b |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-c |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-d |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-e |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.2-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 4, w^{3} - 3w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.2-b |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 4, w^{3} - 3w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.3-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 4, w^{3} - w^{2} - 3w + 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.3-b |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 4, w^{3} - w^{2} - 3w + 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.3-c |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 4, w^{3} - w^{2} - 3w + 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.3-d |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 4, w^{3} - w^{2} - 3w + 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.3-e |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 4, w^{3} - w^{2} - 3w + 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
16.4-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 8, w^{2} - w - 4]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.4-b |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 8, w^{2} - w - 4]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.4-c |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 8, w^{2} - w - 4]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.5-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 16, w^{3} - 4w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
16.5-b |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 16, w^{3} - 4w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
16.5-c |
4.4.8468.1 |
$4$ |
$8468$ |
$[16, 16, w^{3} - 4w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
17.1-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[17, 17, -w^{3} + 3w + 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
17.1-b |
4.4.8468.1 |
$4$ |
$8468$ |
$[17, 17, -w^{3} + 3w + 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$16$ |
|
|
22.1-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[22, 22, -w^{3} + w^{2} + 3w - 2]$ |
$22$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
22.1-b |
4.4.8468.1 |
$4$ |
$8468$ |
$[22, 22, -w^{3} + w^{2} + 3w - 2]$ |
$22$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
22.1-c |
4.4.8468.1 |
$4$ |
$8468$ |
$[22, 22, -w^{3} + w^{2} + 3w - 2]$ |
$22$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
22.1-d |
4.4.8468.1 |
$4$ |
$8468$ |
$[22, 22, -w^{3} + w^{2} + 3w - 2]$ |
$22$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
22.1-e |
4.4.8468.1 |
$4$ |
$8468$ |
$[22, 22, -w^{3} + w^{2} + 3w - 2]$ |
$22$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
22.1-f |
4.4.8468.1 |
$4$ |
$8468$ |
$[22, 22, -w^{3} + w^{2} + 3w - 2]$ |
$22$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
22.1-g |
4.4.8468.1 |
$4$ |
$8468$ |
$[22, 22, -w^{3} + w^{2} + 3w - 2]$ |
$22$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
22.1-h |
4.4.8468.1 |
$4$ |
$8468$ |
$[22, 22, -w^{3} + w^{2} + 3w - 2]$ |
$22$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
22.1-i |
4.4.8468.1 |
$4$ |
$8468$ |
$[22, 22, -w^{3} + w^{2} + 3w - 2]$ |
$22$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
22.2-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[22, 22, -w + 3]$ |
$22$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
22.2-b |
4.4.8468.1 |
$4$ |
$8468$ |
$[22, 22, -w + 3]$ |
$22$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
22.2-c |
4.4.8468.1 |
$4$ |
$8468$ |
$[22, 22, -w + 3]$ |
$22$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
23.1-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[23, 23, w^{3} + w^{2} - 4w - 5]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
23.1-b |
4.4.8468.1 |
$4$ |
$8468$ |
$[23, 23, w^{3} + w^{2} - 4w - 5]$ |
$23$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
23.1-c |
4.4.8468.1 |
$4$ |
$8468$ |
$[23, 23, w^{3} + w^{2} - 4w - 5]$ |
$23$ |
$[2, 2, 2, 2]$ |
$12$ |
|
|
29.1-a |
4.4.8468.1 |
$4$ |
$8468$ |
$[29, 29, -w^{3} + w^{2} + 2w - 1]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|