Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
9.1-a |
5.5.173513.1 |
$5$ |
$173513$ |
$[9, 3, -w^{4} + 2w^{3} + 4w^{2} - w - 1]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
9.1-b |
5.5.173513.1 |
$5$ |
$173513$ |
$[9, 3, -w^{4} + 2w^{3} + 4w^{2} - w - 1]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$8$ |
|
|
11.1-a |
5.5.173513.1 |
$5$ |
$173513$ |
$[11, 11, -w^{3} + 2w^{2} + 4w]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
11.1-b |
5.5.173513.1 |
$5$ |
$173513$ |
$[11, 11, -w^{3} + 2w^{2} + 4w]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
11.1-c |
5.5.173513.1 |
$5$ |
$173513$ |
$[11, 11, -w^{3} + 2w^{2} + 4w]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$7$ |
|
|
11.1-d |
5.5.173513.1 |
$5$ |
$173513$ |
$[11, 11, -w^{3} + 2w^{2} + 4w]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$11$ |
|
|
13.1-a |
5.5.173513.1 |
$5$ |
$173513$ |
$[13, 13, -w^{4} + w^{3} + 7w^{2} + w - 5]$ |
$13$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
13.1-b |
5.5.173513.1 |
$5$ |
$173513$ |
$[13, 13, -w^{4} + w^{3} + 7w^{2} + w - 5]$ |
$13$ |
$[2, 2, 2, 2, 2]$ |
$6$ |
|
|
13.1-c |
5.5.173513.1 |
$5$ |
$173513$ |
$[13, 13, -w^{4} + w^{3} + 7w^{2} + w - 5]$ |
$13$ |
$[2, 2, 2, 2, 2]$ |
$11$ |
|
|
17.1-a |
5.5.173513.1 |
$5$ |
$173513$ |
$[17, 17, w^{4} - 2w^{3} - 5w^{2} + 3w + 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
17.1-b |
5.5.173513.1 |
$5$ |
$173513$ |
$[17, 17, w^{4} - 2w^{3} - 5w^{2} + 3w + 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
17.1-c |
5.5.173513.1 |
$5$ |
$173513$ |
$[17, 17, w^{4} - 2w^{3} - 5w^{2} + 3w + 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$7$ |
|
|
17.1-d |
5.5.173513.1 |
$5$ |
$173513$ |
$[17, 17, w^{4} - 2w^{3} - 5w^{2} + 3w + 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$16$ |
|
|
19.1-a |
5.5.173513.1 |
$5$ |
$173513$ |
$[19, 19, w^{4} - w^{3} - 7w^{2} - w + 2]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$13$ |
|
|
19.1-b |
5.5.173513.1 |
$5$ |
$173513$ |
$[19, 19, w^{4} - w^{3} - 7w^{2} - w + 2]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$17$ |
|
|
19.2-a |
5.5.173513.1 |
$5$ |
$173513$ |
$[19, 19, -w^{3} + 2w^{2} + 4w - 3]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
19.2-b |
5.5.173513.1 |
$5$ |
$173513$ |
$[19, 19, -w^{3} + 2w^{2} + 4w - 3]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$13$ |
|
|
19.2-c |
5.5.173513.1 |
$5$ |
$173513$ |
$[19, 19, -w^{3} + 2w^{2} + 4w - 3]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$16$ |
|
|
23.1-a |
5.5.173513.1 |
$5$ |
$173513$ |
$[23, 23, -w^{3} + 3w^{2} + 2w - 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
23.1-b |
5.5.173513.1 |
$5$ |
$173513$ |
$[23, 23, -w^{3} + 3w^{2} + 2w - 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
23.1-c |
5.5.173513.1 |
$5$ |
$173513$ |
$[23, 23, -w^{3} + 3w^{2} + 2w - 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$15$ |
|
|
23.1-d |
5.5.173513.1 |
$5$ |
$173513$ |
$[23, 23, -w^{3} + 3w^{2} + 2w - 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$22$ |
|
|
23.2-a |
5.5.173513.1 |
$5$ |
$173513$ |
$[23, 23, -w + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
23.2-b |
5.5.173513.1 |
$5$ |
$173513$ |
$[23, 23, -w + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
23.2-c |
5.5.173513.1 |
$5$ |
$173513$ |
$[23, 23, -w + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
23.2-d |
5.5.173513.1 |
$5$ |
$173513$ |
$[23, 23, -w + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
23.2-e |
5.5.173513.1 |
$5$ |
$173513$ |
$[23, 23, -w + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
23.2-f |
5.5.173513.1 |
$5$ |
$173513$ |
$[23, 23, -w + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$11$ |
|
|
23.2-g |
5.5.173513.1 |
$5$ |
$173513$ |
$[23, 23, -w + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$14$ |
|
|
25.1-a |
5.5.173513.1 |
$5$ |
$173513$ |
$[25, 5, -w^{4} + 2w^{3} + 5w^{2} - 2w - 1]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$7$ |
|
|
25.1-b |
5.5.173513.1 |
$5$ |
$173513$ |
$[25, 5, -w^{4} + 2w^{3} + 5w^{2} - 2w - 1]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$8$ |
|
|
25.1-c |
5.5.173513.1 |
$5$ |
$173513$ |
$[25, 5, -w^{4} + 2w^{3} + 5w^{2} - 2w - 1]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$22$ |
|
|
27.1-a |
5.5.173513.1 |
$5$ |
$173513$ |
$[27, 3, -2w^{4} + 4w^{3} + 9w^{2} - 4w - 3]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$19$ |
|
|
27.1-b |
5.5.173513.1 |
$5$ |
$173513$ |
$[27, 3, -2w^{4} + 4w^{3} + 9w^{2} - 4w - 3]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$25$ |
|
|
31.1-a |
5.5.173513.1 |
$5$ |
$173513$ |
$[31, 31, 2w^{4} - 4w^{3} - 9w^{2} + 4w + 4]$ |
$31$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
31.1-b |
5.5.173513.1 |
$5$ |
$173513$ |
$[31, 31, 2w^{4} - 4w^{3} - 9w^{2} + 4w + 4]$ |
$31$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
31.1-c |
5.5.173513.1 |
$5$ |
$173513$ |
$[31, 31, 2w^{4} - 4w^{3} - 9w^{2} + 4w + 4]$ |
$31$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
31.1-d |
5.5.173513.1 |
$5$ |
$173513$ |
$[31, 31, 2w^{4} - 4w^{3} - 9w^{2} + 4w + 4]$ |
$31$ |
$[2, 2, 2, 2, 2]$ |
$18$ |
|
|
31.1-e |
5.5.173513.1 |
$5$ |
$173513$ |
$[31, 31, 2w^{4} - 4w^{3} - 9w^{2} + 4w + 4]$ |
$31$ |
$[2, 2, 2, 2, 2]$ |
$28$ |
|
|
32.1-a |
5.5.173513.1 |
$5$ |
$173513$ |
$[32, 2, -2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-b |
5.5.173513.1 |
$5$ |
$173513$ |
$[32, 2, -2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
32.1-c |
5.5.173513.1 |
$5$ |
$173513$ |
$[32, 2, -2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$20$ |
|
|
32.1-d |
5.5.173513.1 |
$5$ |
$173513$ |
$[32, 2, -2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$29$ |
|
|
41.1-a |
5.5.173513.1 |
$5$ |
$173513$ |
$[41, 41, w^{4} - 3w^{3} - 2w^{2} + 5w]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.1-b |
5.5.173513.1 |
$5$ |
$173513$ |
$[41, 41, w^{4} - 3w^{3} - 2w^{2} + 5w]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.1-c |
5.5.173513.1 |
$5$ |
$173513$ |
$[41, 41, w^{4} - 3w^{3} - 2w^{2} + 5w]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$29$ |
|
|
41.1-d |
5.5.173513.1 |
$5$ |
$173513$ |
$[41, 41, w^{4} - 3w^{3} - 2w^{2} + 5w]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$34$ |
|
|
43.1-a |
5.5.173513.1 |
$5$ |
$173513$ |
$[43, 43, w^{4} - w^{3} - 7w^{2} + 3]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
43.1-b |
5.5.173513.1 |
$5$ |
$173513$ |
$[43, 43, w^{4} - w^{3} - 7w^{2} + 3]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$29$ |
|
|
43.1-c |
5.5.173513.1 |
$5$ |
$173513$ |
$[43, 43, w^{4} - w^{3} - 7w^{2} + 3]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$38$ |
|
|