Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
1.1-a |
4.4.16448.1 |
$4$ |
$16448$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
2.1-a |
4.4.16448.1 |
$4$ |
$16448$ |
$[2, 2, w]$ |
$2$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
2.1-b |
4.4.16448.1 |
$4$ |
$16448$ |
$[2, 2, w]$ |
$2$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
4.1-a |
4.4.16448.1 |
$4$ |
$16448$ |
$[4, 2, w^{3} - 3w^{2} - 4w + 4]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
4.1-b |
4.4.16448.1 |
$4$ |
$16448$ |
$[4, 2, w^{3} - 3w^{2} - 4w + 4]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
5.1-a |
4.4.16448.1 |
$4$ |
$16448$ |
$[5, 5, -w^{3} + 3w^{2} + 2w - 1]$ |
$5$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
5.1-b |
4.4.16448.1 |
$4$ |
$16448$ |
$[5, 5, -w^{3} + 3w^{2} + 2w - 1]$ |
$5$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
5.2-a |
4.4.16448.1 |
$4$ |
$16448$ |
$[5, 5, w - 1]$ |
$5$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
8.1-a |
4.4.16448.1 |
$4$ |
$16448$ |
$[8, 2, -w^{3} + 2w^{2} + 6w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.1-b |
4.4.16448.1 |
$4$ |
$16448$ |
$[8, 2, -w^{3} + 2w^{2} + 6w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.1-c |
4.4.16448.1 |
$4$ |
$16448$ |
$[8, 2, -w^{3} + 2w^{2} + 6w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.1-d |
4.4.16448.1 |
$4$ |
$16448$ |
$[8, 2, -w^{3} + 2w^{2} + 6w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
10.1-a |
4.4.16448.1 |
$4$ |
$16448$ |
$[10, 10, w^{3} - 3w^{2} - 3w + 4]$ |
$10$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
10.1-b |
4.4.16448.1 |
$4$ |
$16448$ |
$[10, 10, w^{3} - 3w^{2} - 3w + 4]$ |
$10$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
10.1-c |
4.4.16448.1 |
$4$ |
$16448$ |
$[10, 10, w^{3} - 3w^{2} - 3w + 4]$ |
$10$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
10.1-d |
4.4.16448.1 |
$4$ |
$16448$ |
$[10, 10, w^{3} - 3w^{2} - 3w + 4]$ |
$10$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
10.1-e |
4.4.16448.1 |
$4$ |
$16448$ |
$[10, 10, w^{3} - 3w^{2} - 3w + 4]$ |
$10$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
10.1-f |
4.4.16448.1 |
$4$ |
$16448$ |
$[10, 10, w^{3} - 3w^{2} - 3w + 4]$ |
$10$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
10.2-a |
4.4.16448.1 |
$4$ |
$16448$ |
$[10, 10, -w^{3} + 3w^{2} + 3w]$ |
$10$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
10.2-b |
4.4.16448.1 |
$4$ |
$16448$ |
$[10, 10, -w^{3} + 3w^{2} + 3w]$ |
$10$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
10.2-c |
4.4.16448.1 |
$4$ |
$16448$ |
$[10, 10, -w^{3} + 3w^{2} + 3w]$ |
$10$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
10.2-d |
4.4.16448.1 |
$4$ |
$16448$ |
$[10, 10, -w^{3} + 3w^{2} + 3w]$ |
$10$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
11.1-a |
4.4.16448.1 |
$4$ |
$16448$ |
$[11, 11, w^{3} - 2w^{2} - 5w - 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
11.1-b |
4.4.16448.1 |
$4$ |
$16448$ |
$[11, 11, w^{3} - 2w^{2} - 5w - 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
13.1-a |
4.4.16448.1 |
$4$ |
$16448$ |
$[13, 13, -w^{3} + 3w^{2} + 3w - 1]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
13.1-b |
4.4.16448.1 |
$4$ |
$16448$ |
$[13, 13, -w^{3} + 3w^{2} + 3w - 1]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
13.1-c |
4.4.16448.1 |
$4$ |
$16448$ |
$[13, 13, -w^{3} + 3w^{2} + 3w - 1]$ |
$13$ |
$[2, 2, 2, 2]$ |
$13$ |
|
|
13.1-d |
4.4.16448.1 |
$4$ |
$16448$ |
$[13, 13, -w^{3} + 3w^{2} + 3w - 1]$ |
$13$ |
$[2, 2, 2, 2]$ |
$13$ |
|
|
16.1-a |
4.4.16448.1 |
$4$ |
$16448$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-b |
4.4.16448.1 |
$4$ |
$16448$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-c |
4.4.16448.1 |
$4$ |
$16448$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-d |
4.4.16448.1 |
$4$ |
$16448$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-e |
4.4.16448.1 |
$4$ |
$16448$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-f |
4.4.16448.1 |
$4$ |
$16448$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-g |
4.4.16448.1 |
$4$ |
$16448$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-h |
4.4.16448.1 |
$4$ |
$16448$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-i |
4.4.16448.1 |
$4$ |
$16448$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
17.1-a |
4.4.16448.1 |
$4$ |
$16448$ |
$[17, 17, 2w^{3} - 5w^{2} - 9w + 5]$ |
$17$ |
$[2, 2, 2, 2]$ |
$21$ |
|
|
17.1-b |
4.4.16448.1 |
$4$ |
$16448$ |
$[17, 17, 2w^{3} - 5w^{2} - 9w + 5]$ |
$17$ |
$[2, 2, 2, 2]$ |
$21$ |
|
|
20.1-a |
4.4.16448.1 |
$4$ |
$16448$ |
$[20, 10, -w^{3} + 3w^{2} + 4w - 2]$ |
$20$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
20.1-b |
4.4.16448.1 |
$4$ |
$16448$ |
$[20, 10, -w^{3} + 3w^{2} + 4w - 2]$ |
$20$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
20.2-a |
4.4.16448.1 |
$4$ |
$16448$ |
$[20, 10, -w^{2} + 2w + 4]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
20.2-b |
4.4.16448.1 |
$4$ |
$16448$ |
$[20, 10, -w^{2} + 2w + 4]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
20.2-c |
4.4.16448.1 |
$4$ |
$16448$ |
$[20, 10, -w^{2} + 2w + 4]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
20.2-d |
4.4.16448.1 |
$4$ |
$16448$ |
$[20, 10, -w^{2} + 2w + 4]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
20.2-e |
4.4.16448.1 |
$4$ |
$16448$ |
$[20, 10, -w^{2} + 2w + 4]$ |
$20$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
22.1-a |
4.4.16448.1 |
$4$ |
$16448$ |
$[22, 22, -w + 2]$ |
$22$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
22.1-b |
4.4.16448.1 |
$4$ |
$16448$ |
$[22, 22, -w + 2]$ |
$22$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
22.1-c |
4.4.16448.1 |
$4$ |
$16448$ |
$[22, 22, -w + 2]$ |
$22$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
22.1-d |
4.4.16448.1 |
$4$ |
$16448$ |
$[22, 22, -w + 2]$ |
$22$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|