Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
3.1-a |
5.5.89417.1 |
$5$ |
$89417$ |
$[3, 3, w^{2} - 3]$ |
$3$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
3.1-b |
5.5.89417.1 |
$5$ |
$89417$ |
$[3, 3, w^{2} - 3]$ |
$3$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
5.1-a |
5.5.89417.1 |
$5$ |
$89417$ |
$[5, 5, w^{4} - 5w^{2} + 4]$ |
$5$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
5.1-b |
5.5.89417.1 |
$5$ |
$89417$ |
$[5, 5, w^{4} - 5w^{2} + 4]$ |
$5$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
9.1-a |
5.5.89417.1 |
$5$ |
$89417$ |
$[9, 9, w^{3} - 3w]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
9.1-b |
5.5.89417.1 |
$5$ |
$89417$ |
$[9, 9, w^{3} - 3w]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
11.1-a |
5.5.89417.1 |
$5$ |
$89417$ |
$[11, 11, -w^{4} + w^{3} + 5w^{2} - 3w - 4]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
11.1-b |
5.5.89417.1 |
$5$ |
$89417$ |
$[11, 11, -w^{4} + w^{3} + 5w^{2} - 3w - 4]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
11.1-c |
5.5.89417.1 |
$5$ |
$89417$ |
$[11, 11, -w^{4} + w^{3} + 5w^{2} - 3w - 4]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$8$ |
|
|
15.1-a |
5.5.89417.1 |
$5$ |
$89417$ |
$[15, 15, w^{3} + w^{2} - 4w - 3]$ |
$15$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
15.1-b |
5.5.89417.1 |
$5$ |
$89417$ |
$[15, 15, w^{3} + w^{2} - 4w - 3]$ |
$15$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
15.1-c |
5.5.89417.1 |
$5$ |
$89417$ |
$[15, 15, w^{3} + w^{2} - 4w - 3]$ |
$15$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
15.1-d |
5.5.89417.1 |
$5$ |
$89417$ |
$[15, 15, w^{3} + w^{2} - 4w - 3]$ |
$15$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
17.1-a |
5.5.89417.1 |
$5$ |
$89417$ |
$[17, 17, w^{4} - 4w^{2} + 2]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
17.1-b |
5.5.89417.1 |
$5$ |
$89417$ |
$[17, 17, w^{4} - 4w^{2} + 2]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$10$ |
|
|
25.1-a |
5.5.89417.1 |
$5$ |
$89417$ |
$[25, 25, -w^{3} - w^{2} + 3w + 4]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
25.1-b |
5.5.89417.1 |
$5$ |
$89417$ |
$[25, 25, -w^{3} - w^{2} + 3w + 4]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
25.1-c |
5.5.89417.1 |
$5$ |
$89417$ |
$[25, 25, -w^{3} - w^{2} + 3w + 4]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
25.1-d |
5.5.89417.1 |
$5$ |
$89417$ |
$[25, 25, -w^{3} - w^{2} + 3w + 4]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$6$ |
|
|
27.1-a |
5.5.89417.1 |
$5$ |
$89417$ |
$[27, 27, w^{2} + w - 3]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-b |
5.5.89417.1 |
$5$ |
$89417$ |
$[27, 27, w^{2} + w - 3]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-c |
5.5.89417.1 |
$5$ |
$89417$ |
$[27, 27, w^{2} + w - 3]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-d |
5.5.89417.1 |
$5$ |
$89417$ |
$[27, 27, w^{2} + w - 3]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-e |
5.5.89417.1 |
$5$ |
$89417$ |
$[27, 27, w^{2} + w - 3]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-f |
5.5.89417.1 |
$5$ |
$89417$ |
$[27, 27, w^{2} + w - 3]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-g |
5.5.89417.1 |
$5$ |
$89417$ |
$[27, 27, w^{2} + w - 3]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
27.1-h |
5.5.89417.1 |
$5$ |
$89417$ |
$[27, 27, w^{2} + w - 3]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
32.1-a |
5.5.89417.1 |
$5$ |
$89417$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
32.1-b |
5.5.89417.1 |
$5$ |
$89417$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
32.1-c |
5.5.89417.1 |
$5$ |
$89417$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$18$ |
|
|
33.1-a |
5.5.89417.1 |
$5$ |
$89417$ |
$[33, 33, w^{4} - w^{3} - 4w^{2} + 4w + 3]$ |
$33$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
33.1-b |
5.5.89417.1 |
$5$ |
$89417$ |
$[33, 33, w^{4} - w^{3} - 4w^{2} + 4w + 3]$ |
$33$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
33.1-c |
5.5.89417.1 |
$5$ |
$89417$ |
$[33, 33, w^{4} - w^{3} - 4w^{2} + 4w + 3]$ |
$33$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
33.1-d |
5.5.89417.1 |
$5$ |
$89417$ |
$[33, 33, w^{4} - w^{3} - 4w^{2} + 4w + 3]$ |
$33$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
33.1-e |
5.5.89417.1 |
$5$ |
$89417$ |
$[33, 33, w^{4} - w^{3} - 4w^{2} + 4w + 3]$ |
$33$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
33.1-f |
5.5.89417.1 |
$5$ |
$89417$ |
$[33, 33, w^{4} - w^{3} - 4w^{2} + 4w + 3]$ |
$33$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
37.1-a |
5.5.89417.1 |
$5$ |
$89417$ |
$[37, 37, -w^{4} + 2w^{3} + 5w^{2} - 7w - 5]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$11$ |
|
|
37.1-b |
5.5.89417.1 |
$5$ |
$89417$ |
$[37, 37, -w^{4} + 2w^{3} + 5w^{2} - 7w - 5]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$11$ |
|
|
37.2-a |
5.5.89417.1 |
$5$ |
$89417$ |
$[37, 37, -w^{3} + 4w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$12$ |
|
|
37.2-b |
5.5.89417.1 |
$5$ |
$89417$ |
$[37, 37, -w^{3} + 4w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$12$ |
|
|
41.1-a |
5.5.89417.1 |
$5$ |
$89417$ |
$[41, 41, w^{3} + w^{2} - 4w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.1-b |
5.5.89417.1 |
$5$ |
$89417$ |
$[41, 41, w^{3} + w^{2} - 4w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.1-c |
5.5.89417.1 |
$5$ |
$89417$ |
$[41, 41, w^{3} + w^{2} - 4w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.1-d |
5.5.89417.1 |
$5$ |
$89417$ |
$[41, 41, w^{3} + w^{2} - 4w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.1-e |
5.5.89417.1 |
$5$ |
$89417$ |
$[41, 41, w^{3} + w^{2} - 4w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$11$ |
|
|
41.1-f |
5.5.89417.1 |
$5$ |
$89417$ |
$[41, 41, w^{3} + w^{2} - 4w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$11$ |
|
|
41.2-a |
5.5.89417.1 |
$5$ |
$89417$ |
$[41, 41, -w^{3} + 2w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.2-b |
5.5.89417.1 |
$5$ |
$89417$ |
$[41, 41, -w^{3} + 2w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.2-c |
5.5.89417.1 |
$5$ |
$89417$ |
$[41, 41, -w^{3} + 2w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
41.2-d |
5.5.89417.1 |
$5$ |
$89417$ |
$[41, 41, -w^{3} + 2w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$22$ |
|
|