Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
2.1-a |
5.5.81509.1 |
$5$ |
$81509$ |
$[2, 2, w^{4} - w^{3} - 4w^{2} + 2w + 2]$ |
$2$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
2.1-b |
5.5.81509.1 |
$5$ |
$81509$ |
$[2, 2, w^{4} - w^{3} - 4w^{2} + 2w + 2]$ |
$2$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
4.1-a |
5.5.81509.1 |
$5$ |
$81509$ |
$[4, 4, w^{3} - w^{2} - 3w + 2]$ |
$4$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
8.1-a |
5.5.81509.1 |
$5$ |
$81509$ |
$[8, 8, -w^{4} + 6w^{2} + w - 6]$ |
$8$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
9.1-a |
5.5.81509.1 |
$5$ |
$81509$ |
$[9, 3, -w^{2} + w + 1]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
9.1-b |
5.5.81509.1 |
$5$ |
$81509$ |
$[9, 3, -w^{2} + w + 1]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
16.1-a |
5.5.81509.1 |
$5$ |
$81509$ |
$[16, 2, w^{4} - w^{3} - 3w^{2} + w + 1]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
16.1-b |
5.5.81509.1 |
$5$ |
$81509$ |
$[16, 2, w^{4} - w^{3} - 3w^{2} + w + 1]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
16.1-c |
5.5.81509.1 |
$5$ |
$81509$ |
$[16, 2, w^{4} - w^{3} - 3w^{2} + w + 1]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
16.1-d |
5.5.81509.1 |
$5$ |
$81509$ |
$[16, 2, w^{4} - w^{3} - 3w^{2} + w + 1]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
16.1-e |
5.5.81509.1 |
$5$ |
$81509$ |
$[16, 2, w^{4} - w^{3} - 3w^{2} + w + 1]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
16.2-a |
5.5.81509.1 |
$5$ |
$81509$ |
$[16, 16, -w^{4} + w^{3} + 4w^{2} - w - 2]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
16.2-b |
5.5.81509.1 |
$5$ |
$81509$ |
$[16, 16, -w^{4} + w^{3} + 4w^{2} - w - 2]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
16.2-c |
5.5.81509.1 |
$5$ |
$81509$ |
$[16, 16, -w^{4} + w^{3} + 4w^{2} - w - 2]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
16.2-d |
5.5.81509.1 |
$5$ |
$81509$ |
$[16, 16, -w^{4} + w^{3} + 4w^{2} - w - 2]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
17.1-a |
5.5.81509.1 |
$5$ |
$81509$ |
$[17, 17, -w^{4} + w^{3} + 4w^{2} - w - 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
17.1-b |
5.5.81509.1 |
$5$ |
$81509$ |
$[17, 17, -w^{4} + w^{3} + 4w^{2} - w - 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$8$ |
|
|
18.1-a |
5.5.81509.1 |
$5$ |
$81509$ |
$[18, 6, w^{3} - 2w^{2} - 3w + 4]$ |
$18$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
18.1-b |
5.5.81509.1 |
$5$ |
$81509$ |
$[18, 6, w^{3} - 2w^{2} - 3w + 4]$ |
$18$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
18.1-c |
5.5.81509.1 |
$5$ |
$81509$ |
$[18, 6, w^{3} - 2w^{2} - 3w + 4]$ |
$18$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
18.1-d |
5.5.81509.1 |
$5$ |
$81509$ |
$[18, 6, w^{3} - 2w^{2} - 3w + 4]$ |
$18$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
19.1-a |
5.5.81509.1 |
$5$ |
$81509$ |
$[19, 19, w^{3} - 3w - 1]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
19.1-b |
5.5.81509.1 |
$5$ |
$81509$ |
$[19, 19, w^{3} - 3w - 1]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
19.1-c |
5.5.81509.1 |
$5$ |
$81509$ |
$[19, 19, w^{3} - 3w - 1]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$10$ |
|
|
27.1-a |
5.5.81509.1 |
$5$ |
$81509$ |
$[27, 3, w^{3} - 4w - 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-b |
5.5.81509.1 |
$5$ |
$81509$ |
$[27, 3, w^{3} - 4w - 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$8$ |
|
|
27.1-c |
5.5.81509.1 |
$5$ |
$81509$ |
$[27, 3, w^{3} - 4w - 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$10$ |
|
|
32.1-a |
5.5.81509.1 |
$5$ |
$81509$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-b |
5.5.81509.1 |
$5$ |
$81509$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-c |
5.5.81509.1 |
$5$ |
$81509$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
32.1-d |
5.5.81509.1 |
$5$ |
$81509$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
32.2-a |
5.5.81509.1 |
$5$ |
$81509$ |
$[32, 32, w^{2} - 4]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.2-b |
5.5.81509.1 |
$5$ |
$81509$ |
$[32, 32, w^{2} - 4]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.2-c |
5.5.81509.1 |
$5$ |
$81509$ |
$[32, 32, w^{2} - 4]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
32.2-d |
5.5.81509.1 |
$5$ |
$81509$ |
$[32, 32, w^{2} - 4]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
34.1-a |
5.5.81509.1 |
$5$ |
$81509$ |
$[34, 34, w^{4} - 2w^{3} - 3w^{2} + 4w + 2]$ |
$34$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
34.1-b |
5.5.81509.1 |
$5$ |
$81509$ |
$[34, 34, w^{4} - 2w^{3} - 3w^{2} + 4w + 2]$ |
$34$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
34.1-c |
5.5.81509.1 |
$5$ |
$81509$ |
$[34, 34, w^{4} - 2w^{3} - 3w^{2} + 4w + 2]$ |
$34$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
34.1-d |
5.5.81509.1 |
$5$ |
$81509$ |
$[34, 34, w^{4} - 2w^{3} - 3w^{2} + 4w + 2]$ |
$34$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
34.1-e |
5.5.81509.1 |
$5$ |
$81509$ |
$[34, 34, w^{4} - 2w^{3} - 3w^{2} + 4w + 2]$ |
$34$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
34.1-f |
5.5.81509.1 |
$5$ |
$81509$ |
$[34, 34, w^{4} - 2w^{3} - 3w^{2} + 4w + 2]$ |
$34$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
34.1-g |
5.5.81509.1 |
$5$ |
$81509$ |
$[34, 34, w^{4} - 2w^{3} - 3w^{2} + 4w + 2]$ |
$34$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
34.1-h |
5.5.81509.1 |
$5$ |
$81509$ |
$[34, 34, w^{4} - 2w^{3} - 3w^{2} + 4w + 2]$ |
$34$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
36.1-a |
5.5.81509.1 |
$5$ |
$81509$ |
$[36, 12, -w^{3} + w^{2} + 4w]$ |
$36$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
36.1-b |
5.5.81509.1 |
$5$ |
$81509$ |
$[36, 12, -w^{3} + w^{2} + 4w]$ |
$36$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
36.1-c |
5.5.81509.1 |
$5$ |
$81509$ |
$[36, 12, -w^{3} + w^{2} + 4w]$ |
$36$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
37.1-a |
5.5.81509.1 |
$5$ |
$81509$ |
$[37, 37, -w^{3} + w^{2} + 2w - 3]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
37.1-b |
5.5.81509.1 |
$5$ |
$81509$ |
$[37, 37, -w^{3} + w^{2} + 2w - 3]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
37.1-c |
5.5.81509.1 |
$5$ |
$81509$ |
$[37, 37, -w^{3} + w^{2} + 2w - 3]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
37.1-d |
5.5.81509.1 |
$5$ |
$81509$ |
$[37, 37, -w^{3} + w^{2} + 2w - 3]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|