Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
8.1-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[8, 2, -w^{3} + w^{2} + 4w - 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
8.2-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[8, 8, w^{3} - 2w^{2} - 2w + 4]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
11.1-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[11, 11, w^{3} - 2w^{2} - 2w + 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.2-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[16, 16, -w^{3} + 2w^{2} + 3w - 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
22.1-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[22, 22, 2w^{3} - 3w^{2} - 5w + 4]$ |
$22$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
22.1-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[22, 22, 2w^{3} - 3w^{2} - 5w + 4]$ |
$22$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
22.1-c |
4.4.2777.1 |
$4$ |
$2777$ |
$[22, 22, 2w^{3} - 3w^{2} - 5w + 4]$ |
$22$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
23.1-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[23, 23, -w^{3} + 4w + 1]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
23.1-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[23, 23, -w^{3} + 4w + 1]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
23.2-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[23, 23, -w^{2} + 2w + 3]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
23.2-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[23, 23, -w^{2} + 2w + 3]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
23.2-c |
4.4.2777.1 |
$4$ |
$2777$ |
$[23, 23, -w^{2} + 2w + 3]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[31, 31, w^{3} - 2w^{2} - w + 3]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[31, 31, w^{3} - 2w^{2} - w + 3]$ |
$31$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
32.1-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[32, 4, 2w]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
32.2-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[32, 32, -w^{2} + 4]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
32.2-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[32, 32, -w^{2} + 4]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
37.1-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[37, 37, -w^{3} + 3w + 3]$ |
$37$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
37.1-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[37, 37, -w^{3} + 3w + 3]$ |
$37$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
37.2-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[37, 37, -2w^{3} + 3w^{2} + 6w - 3]$ |
$37$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
37.2-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[37, 37, -2w^{3} + 3w^{2} + 6w - 3]$ |
$37$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
41.1-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[41, 41, w^{3} - 2w^{2} - 3w + 1]$ |
$41$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
41.1-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[41, 41, w^{3} - 2w^{2} - 3w + 1]$ |
$41$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
41.2-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[41, 41, -2w^{3} + 2w^{2} + 6w - 1]$ |
$41$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
41.2-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[41, 41, -2w^{3} + 2w^{2} + 6w - 1]$ |
$41$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
43.1-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[43, 43, -w^{2} + w + 5]$ |
$43$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
44.1-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[44, 44, -w^{2} + 2w + 4]$ |
$44$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
46.1-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[46, 46, w^{3} - 3w^{2} - 2w + 6]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
46.1-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[46, 46, w^{3} - 3w^{2} - 2w + 6]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
46.1-c |
4.4.2777.1 |
$4$ |
$2777$ |
$[46, 46, w^{3} - 3w^{2} - 2w + 6]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
46.1-d |
4.4.2777.1 |
$4$ |
$2777$ |
$[46, 46, w^{3} - 3w^{2} - 2w + 6]$ |
$46$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
46.2-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[46, 46, -w^{3} + 3w^{2} + w - 4]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
46.2-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[46, 46, -w^{3} + 3w^{2} + w - 4]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
46.2-c |
4.4.2777.1 |
$4$ |
$2777$ |
$[46, 46, -w^{3} + 3w^{2} + w - 4]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
46.2-d |
4.4.2777.1 |
$4$ |
$2777$ |
$[46, 46, -w^{3} + 3w^{2} + w - 4]$ |
$46$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
47.1-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[47, 47, 2w^{2} - 3w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.1-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[47, 47, 2w^{2} - 3w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.1-c |
4.4.2777.1 |
$4$ |
$2777$ |
$[47, 47, 2w^{2} - 3w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
47.1-d |
4.4.2777.1 |
$4$ |
$2777$ |
$[47, 47, 2w^{2} - 3w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
53.1-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[53, 53, -w^{3} + 3w^{2} + w - 7]$ |
$53$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
53.1-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[53, 53, -w^{3} + 3w^{2} + w - 7]$ |
$53$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
53.1-c |
4.4.2777.1 |
$4$ |
$2777$ |
$[53, 53, -w^{3} + 3w^{2} + w - 7]$ |
$53$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
53.1-d |
4.4.2777.1 |
$4$ |
$2777$ |
$[53, 53, -w^{3} + 3w^{2} + w - 7]$ |
$53$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
53.2-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[53, 53, -2w^{2} + 2w + 5]$ |
$53$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
53.2-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[53, 53, -2w^{2} + 2w + 5]$ |
$53$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
53.2-c |
4.4.2777.1 |
$4$ |
$2777$ |
$[53, 53, -2w^{2} + 2w + 5]$ |
$53$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
59.1-a |
4.4.2777.1 |
$4$ |
$2777$ |
$[59, 59, 2w^{2} - w - 7]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
59.1-b |
4.4.2777.1 |
$4$ |
$2777$ |
$[59, 59, 2w^{2} - w - 7]$ |
$59$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|