Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
9.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[9, 9, w^{2} - w - 2]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
9.1-b |
5.5.36497.1 |
$5$ |
$36497$ |
$[9, 9, w^{2} - w - 2]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
13.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[13, 13, w^{3} - 2w^{2} - 2w + 2]$ |
$13$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
13.1-b |
5.5.36497.1 |
$5$ |
$36497$ |
$[13, 13, w^{3} - 2w^{2} - 2w + 2]$ |
$13$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
23.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[23, 23, 2w^{4} - 3w^{3} - 6w^{2} + 5w + 1]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
23.1-b |
5.5.36497.1 |
$5$ |
$36497$ |
$[23, 23, 2w^{4} - 3w^{3} - 6w^{2} + 5w + 1]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
25.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[25, 5, -w^{2} + 2w + 2]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
25.1-b |
5.5.36497.1 |
$5$ |
$36497$ |
$[25, 5, -w^{2} + 2w + 2]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
25.1-c |
5.5.36497.1 |
$5$ |
$36497$ |
$[25, 5, -w^{2} + 2w + 2]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
25.1-d |
5.5.36497.1 |
$5$ |
$36497$ |
$[25, 5, -w^{2} + 2w + 2]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[27, 27, -w^{3} + 2w^{2} + 3w - 3]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-b |
5.5.36497.1 |
$5$ |
$36497$ |
$[27, 27, -w^{3} + 2w^{2} + 3w - 3]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[29, 29, -w^{4} + w^{3} + 4w^{2} - 3w - 1]$ |
$29$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
29.1-b |
5.5.36497.1 |
$5$ |
$36497$ |
$[29, 29, -w^{4} + w^{3} + 4w^{2} - 3w - 1]$ |
$29$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
31.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[31, 31, w^{4} - w^{3} - 5w^{2} + 2w + 4]$ |
$31$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
31.1-b |
5.5.36497.1 |
$5$ |
$36497$ |
$[31, 31, w^{4} - w^{3} - 5w^{2} + 2w + 4]$ |
$31$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
32.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$6$ |
|
|
37.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[37, 37, w^{4} - 2w^{3} - 2w^{2} + 4w + 1]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
37.1-b |
5.5.36497.1 |
$5$ |
$36497$ |
$[37, 37, w^{4} - 2w^{3} - 2w^{2} + 4w + 1]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
37.1-c |
5.5.36497.1 |
$5$ |
$36497$ |
$[37, 37, w^{4} - 2w^{3} - 2w^{2} + 4w + 1]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
37.1-d |
5.5.36497.1 |
$5$ |
$36497$ |
$[37, 37, w^{4} - 2w^{3} - 2w^{2} + 4w + 1]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
39.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[39, 39, 2w^{4} - 3w^{3} - 7w^{2} + 6w + 2]$ |
$39$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
39.1-b |
5.5.36497.1 |
$5$ |
$36497$ |
$[39, 39, 2w^{4} - 3w^{3} - 7w^{2} + 6w + 2]$ |
$39$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
39.1-c |
5.5.36497.1 |
$5$ |
$36497$ |
$[39, 39, 2w^{4} - 3w^{3} - 7w^{2} + 6w + 2]$ |
$39$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
39.1-d |
5.5.36497.1 |
$5$ |
$36497$ |
$[39, 39, 2w^{4} - 3w^{3} - 7w^{2} + 6w + 2]$ |
$39$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
47.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[47, 47, w^{4} - w^{3} - 5w^{2} + 2w + 3]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
47.1-b |
5.5.36497.1 |
$5$ |
$36497$ |
$[47, 47, w^{4} - w^{3} - 5w^{2} + 2w + 3]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
47.2-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[47, 47, 2w^{4} - 3w^{3} - 6w^{2} + 6w + 2]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$8$ |
|
|
49.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[49, 7, -w^{4} + 2w^{3} + 4w^{2} - 6w - 2]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
49.1-b |
5.5.36497.1 |
$5$ |
$36497$ |
$[49, 7, -w^{4} + 2w^{3} + 4w^{2} - 6w - 2]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
49.1-c |
5.5.36497.1 |
$5$ |
$36497$ |
$[49, 7, -w^{4} + 2w^{3} + 4w^{2} - 6w - 2]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
49.1-d |
5.5.36497.1 |
$5$ |
$36497$ |
$[49, 7, -w^{4} + 2w^{3} + 4w^{2} - 6w - 2]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
53.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[53, 53, -2w^{4} + 3w^{3} + 7w^{2} - 7w - 2]$ |
$53$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
53.1-b |
5.5.36497.1 |
$5$ |
$36497$ |
$[53, 53, -2w^{4} + 3w^{3} + 7w^{2} - 7w - 2]$ |
$53$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
53.1-c |
5.5.36497.1 |
$5$ |
$36497$ |
$[53, 53, -2w^{4} + 3w^{3} + 7w^{2} - 7w - 2]$ |
$53$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
53.1-d |
5.5.36497.1 |
$5$ |
$36497$ |
$[53, 53, -2w^{4} + 3w^{3} + 7w^{2} - 7w - 2]$ |
$53$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
59.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[59, 59, -2w^{4} + 3w^{3} + 6w^{2} - 5w - 2]$ |
$59$ |
$[2, 2, 2, 2, 2]$ |
$10$ |
|
|
67.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[67, 67, -w^{4} + 3w^{3} + 2w^{2} - 7w]$ |
$67$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
67.1-b |
5.5.36497.1 |
$5$ |
$36497$ |
$[67, 67, -w^{4} + 3w^{3} + 2w^{2} - 7w]$ |
$67$ |
$[2, 2, 2, 2, 2]$ |
$10$ |
|
|
67.2-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[67, 67, -w^{4} + 3w^{3} + w^{2} - 7w + 1]$ |
$67$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
67.2-b |
5.5.36497.1 |
$5$ |
$36497$ |
$[67, 67, -w^{4} + 3w^{3} + w^{2} - 7w + 1]$ |
$67$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
67.2-c |
5.5.36497.1 |
$5$ |
$36497$ |
$[67, 67, -w^{4} + 3w^{3} + w^{2} - 7w + 1]$ |
$67$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
67.2-d |
5.5.36497.1 |
$5$ |
$36497$ |
$[67, 67, -w^{4} + 3w^{3} + w^{2} - 7w + 1]$ |
$67$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
69.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[69, 69, w^{3} - 4w]$ |
$69$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
69.1-b |
5.5.36497.1 |
$5$ |
$36497$ |
$[69, 69, w^{3} - 4w]$ |
$69$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
69.1-c |
5.5.36497.1 |
$5$ |
$36497$ |
$[69, 69, w^{3} - 4w]$ |
$69$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
69.1-d |
5.5.36497.1 |
$5$ |
$36497$ |
$[69, 69, w^{3} - 4w]$ |
$69$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
69.1-e |
5.5.36497.1 |
$5$ |
$36497$ |
$[69, 69, w^{3} - 4w]$ |
$69$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
69.1-f |
5.5.36497.1 |
$5$ |
$36497$ |
$[69, 69, w^{3} - 4w]$ |
$69$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
71.1-a |
5.5.36497.1 |
$5$ |
$36497$ |
$[71, 71, w^{4} - 2w^{3} - 4w^{2} + 3w + 3]$ |
$71$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|