Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
4.1-a |
5.5.122821.1 |
$5$ |
$122821$ |
$[4, 2, w^{4} - 2w^{3} - 3w^{2} + 2w + 1]$ |
$4$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
4.1-b |
5.5.122821.1 |
$5$ |
$122821$ |
$[4, 2, w^{4} - 2w^{3} - 3w^{2} + 2w + 1]$ |
$4$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
4.1-c |
5.5.122821.1 |
$5$ |
$122821$ |
$[4, 2, w^{4} - 2w^{3} - 3w^{2} + 2w + 1]$ |
$4$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
8.1-a |
5.5.122821.1 |
$5$ |
$122821$ |
$[8, 2, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ |
$8$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
8.1-b |
5.5.122821.1 |
$5$ |
$122821$ |
$[8, 2, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ |
$8$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
8.1-c |
5.5.122821.1 |
$5$ |
$122821$ |
$[8, 2, w^{4} - 2w^{3} - 3w^{2} + 3w + 1]$ |
$8$ |
$[2, 2, 2, 2, 2]$ |
$6$ |
|
|
11.1-a |
5.5.122821.1 |
$5$ |
$122821$ |
$[11, 11, -w^{2} + w + 2]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
11.1-b |
5.5.122821.1 |
$5$ |
$122821$ |
$[11, 11, -w^{2} + w + 2]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
11.1-c |
5.5.122821.1 |
$5$ |
$122821$ |
$[11, 11, -w^{2} + w + 2]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
11.1-d |
5.5.122821.1 |
$5$ |
$122821$ |
$[11, 11, -w^{2} + w + 2]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
11.1-e |
5.5.122821.1 |
$5$ |
$122821$ |
$[11, 11, -w^{2} + w + 2]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
11.1-f |
5.5.122821.1 |
$5$ |
$122821$ |
$[11, 11, -w^{2} + w + 2]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$8$ |
|
|
16.1-a |
5.5.122821.1 |
$5$ |
$122821$ |
$[16, 4, w^{2} - w - 3]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
16.1-b |
5.5.122821.1 |
$5$ |
$122821$ |
$[16, 4, w^{2} - w - 3]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
16.1-c |
5.5.122821.1 |
$5$ |
$122821$ |
$[16, 4, w^{2} - w - 3]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
16.1-d |
5.5.122821.1 |
$5$ |
$122821$ |
$[16, 4, w^{2} - w - 3]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
16.1-e |
5.5.122821.1 |
$5$ |
$122821$ |
$[16, 4, w^{2} - w - 3]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$6$ |
|
|
17.1-a |
5.5.122821.1 |
$5$ |
$122821$ |
$[17, 17, -w^{2} + 2w + 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
17.1-b |
5.5.122821.1 |
$5$ |
$122821$ |
$[17, 17, -w^{2} + 2w + 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
17.1-c |
5.5.122821.1 |
$5$ |
$122821$ |
$[17, 17, -w^{2} + 2w + 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
17.1-d |
5.5.122821.1 |
$5$ |
$122821$ |
$[17, 17, -w^{2} + 2w + 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$11$ |
|
|
17.2-a |
5.5.122821.1 |
$5$ |
$122821$ |
$[17, 17, -w^{3} + 3w^{2} + w - 3]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
17.2-b |
5.5.122821.1 |
$5$ |
$122821$ |
$[17, 17, -w^{3} + 3w^{2} + w - 3]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
17.2-c |
5.5.122821.1 |
$5$ |
$122821$ |
$[17, 17, -w^{3} + 3w^{2} + w - 3]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
17.2-d |
5.5.122821.1 |
$5$ |
$122821$ |
$[17, 17, -w^{3} + 3w^{2} + w - 3]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$10$ |
|
|
19.1-a |
5.5.122821.1 |
$5$ |
$122821$ |
$[19, 19, w^{4} - 2w^{3} - 3w^{2} + w + 2]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
19.1-b |
5.5.122821.1 |
$5$ |
$122821$ |
$[19, 19, w^{4} - 2w^{3} - 3w^{2} + w + 2]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
19.1-c |
5.5.122821.1 |
$5$ |
$122821$ |
$[19, 19, w^{4} - 2w^{3} - 3w^{2} + w + 2]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
19.1-d |
5.5.122821.1 |
$5$ |
$122821$ |
$[19, 19, w^{4} - 2w^{3} - 3w^{2} + w + 2]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
19.1-e |
5.5.122821.1 |
$5$ |
$122821$ |
$[19, 19, w^{4} - 2w^{3} - 3w^{2} + w + 2]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$12$ |
|
|
23.1-a |
5.5.122821.1 |
$5$ |
$122821$ |
$[23, 23, w^{4} - 3w^{3} - w^{2} + 5w - 3]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
23.1-b |
5.5.122821.1 |
$5$ |
$122821$ |
$[23, 23, w^{4} - 3w^{3} - w^{2} + 5w - 3]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
23.1-c |
5.5.122821.1 |
$5$ |
$122821$ |
$[23, 23, w^{4} - 3w^{3} - w^{2} + 5w - 3]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$10$ |
|
|
23.1-d |
5.5.122821.1 |
$5$ |
$122821$ |
$[23, 23, w^{4} - 3w^{3} - w^{2} + 5w - 3]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$13$ |
|
|
23.2-a |
5.5.122821.1 |
$5$ |
$122821$ |
$[23, 23, -w^{3} + 2w^{2} + 2w - 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
23.2-b |
5.5.122821.1 |
$5$ |
$122821$ |
$[23, 23, -w^{3} + 2w^{2} + 2w - 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
23.2-c |
5.5.122821.1 |
$5$ |
$122821$ |
$[23, 23, -w^{3} + 2w^{2} + 2w - 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$8$ |
|
|
23.2-d |
5.5.122821.1 |
$5$ |
$122821$ |
$[23, 23, -w^{3} + 2w^{2} + 2w - 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$14$ |
|
|
29.1-a |
5.5.122821.1 |
$5$ |
$122821$ |
$[29, 29, -w^{4} + 2w^{3} + 4w^{2} - 4w - 1]$ |
$29$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.1-b |
5.5.122821.1 |
$5$ |
$122821$ |
$[29, 29, -w^{4} + 2w^{3} + 4w^{2} - 4w - 1]$ |
$29$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
29.1-c |
5.5.122821.1 |
$5$ |
$122821$ |
$[29, 29, -w^{4} + 2w^{3} + 4w^{2} - 4w - 1]$ |
$29$ |
$[2, 2, 2, 2, 2]$ |
$11$ |
|
|
29.1-d |
5.5.122821.1 |
$5$ |
$122821$ |
$[29, 29, -w^{4} + 2w^{3} + 4w^{2} - 4w - 1]$ |
$29$ |
$[2, 2, 2, 2, 2]$ |
$15$ |
|
|
32.1-a |
5.5.122821.1 |
$5$ |
$122821$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-b |
5.5.122821.1 |
$5$ |
$122821$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-c |
5.5.122821.1 |
$5$ |
$122821$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-d |
5.5.122821.1 |
$5$ |
$122821$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-e |
5.5.122821.1 |
$5$ |
$122821$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-f |
5.5.122821.1 |
$5$ |
$122821$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
32.1-g |
5.5.122821.1 |
$5$ |
$122821$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
32.1-h |
5.5.122821.1 |
$5$ |
$122821$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|