Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
3.1-a |
5.5.124817.1 |
$5$ |
$124817$ |
$[3, 3, w^{3} - w^{2} - 5w - 1]$ |
$3$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
3.1-b |
5.5.124817.1 |
$5$ |
$124817$ |
$[3, 3, w^{3} - w^{2} - 5w - 1]$ |
$3$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
7.1-a |
5.5.124817.1 |
$5$ |
$124817$ |
$[7, 7, w^{4} - w^{3} - 6w^{2} - w + 3]$ |
$7$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
7.1-b |
5.5.124817.1 |
$5$ |
$124817$ |
$[7, 7, w^{4} - w^{3} - 6w^{2} - w + 3]$ |
$7$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
7.1-c |
5.5.124817.1 |
$5$ |
$124817$ |
$[7, 7, w^{4} - w^{3} - 6w^{2} - w + 3]$ |
$7$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
7.1-d |
5.5.124817.1 |
$5$ |
$124817$ |
$[7, 7, w^{4} - w^{3} - 6w^{2} - w + 3]$ |
$7$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
7.1-e |
5.5.124817.1 |
$5$ |
$124817$ |
$[7, 7, w^{4} - w^{3} - 6w^{2} - w + 3]$ |
$7$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
9.1-a |
5.5.124817.1 |
$5$ |
$124817$ |
$[9, 9, -w + 1]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
9.1-b |
5.5.124817.1 |
$5$ |
$124817$ |
$[9, 9, -w + 1]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
9.1-c |
5.5.124817.1 |
$5$ |
$124817$ |
$[9, 9, -w + 1]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
11.1-a |
5.5.124817.1 |
$5$ |
$124817$ |
$[11, 11, w^{3} - w^{2} - 6w - 1]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$6$ |
|
|
11.1-b |
5.5.124817.1 |
$5$ |
$124817$ |
$[11, 11, w^{3} - w^{2} - 6w - 1]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$8$ |
|
|
17.1-a |
5.5.124817.1 |
$5$ |
$124817$ |
$[17, 17, -w^{4} + 2w^{3} + 4w^{2} - 4w]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
17.1-b |
5.5.124817.1 |
$5$ |
$124817$ |
$[17, 17, -w^{4} + 2w^{3} + 4w^{2} - 4w]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
17.1-c |
5.5.124817.1 |
$5$ |
$124817$ |
$[17, 17, -w^{4} + 2w^{3} + 4w^{2} - 4w]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
17.1-d |
5.5.124817.1 |
$5$ |
$124817$ |
$[17, 17, -w^{4} + 2w^{3} + 4w^{2} - 4w]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$11$ |
|
|
19.1-a |
5.5.124817.1 |
$5$ |
$124817$ |
$[19, 19, -w^{4} + w^{3} + 5w^{2} + 3w - 1]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
19.1-b |
5.5.124817.1 |
$5$ |
$124817$ |
$[19, 19, -w^{4} + w^{3} + 5w^{2} + 3w - 1]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
19.1-c |
5.5.124817.1 |
$5$ |
$124817$ |
$[19, 19, -w^{4} + w^{3} + 5w^{2} + 3w - 1]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
19.1-d |
5.5.124817.1 |
$5$ |
$124817$ |
$[19, 19, -w^{4} + w^{3} + 5w^{2} + 3w - 1]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$7$ |
|
|
19.1-e |
5.5.124817.1 |
$5$ |
$124817$ |
$[19, 19, -w^{4} + w^{3} + 5w^{2} + 3w - 1]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$10$ |
|
|
19.2-a |
5.5.124817.1 |
$5$ |
$124817$ |
$[19, 19, w^{4} - w^{3} - 5w^{2} - w - 1]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
19.2-b |
5.5.124817.1 |
$5$ |
$124817$ |
$[19, 19, w^{4} - w^{3} - 5w^{2} - w - 1]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
19.2-c |
5.5.124817.1 |
$5$ |
$124817$ |
$[19, 19, w^{4} - w^{3} - 5w^{2} - w - 1]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
19.2-d |
5.5.124817.1 |
$5$ |
$124817$ |
$[19, 19, w^{4} - w^{3} - 5w^{2} - w - 1]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$13$ |
|
|
21.1-a |
5.5.124817.1 |
$5$ |
$124817$ |
$[21, 21, w^{4} - 7w^{2} - 6w]$ |
$21$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
21.1-b |
5.5.124817.1 |
$5$ |
$124817$ |
$[21, 21, w^{4} - 7w^{2} - 6w]$ |
$21$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
21.1-c |
5.5.124817.1 |
$5$ |
$124817$ |
$[21, 21, w^{4} - 7w^{2} - 6w]$ |
$21$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
21.1-d |
5.5.124817.1 |
$5$ |
$124817$ |
$[21, 21, w^{4} - 7w^{2} - 6w]$ |
$21$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
21.1-e |
5.5.124817.1 |
$5$ |
$124817$ |
$[21, 21, w^{4} - 7w^{2} - 6w]$ |
$21$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
21.1-f |
5.5.124817.1 |
$5$ |
$124817$ |
$[21, 21, w^{4} - 7w^{2} - 6w]$ |
$21$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
21.1-g |
5.5.124817.1 |
$5$ |
$124817$ |
$[21, 21, w^{4} - 7w^{2} - 6w]$ |
$21$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
25.1-a |
5.5.124817.1 |
$5$ |
$124817$ |
$[25, 5, 2w^{4} - 2w^{3} - 11w^{2} - 2w + 2]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
25.1-b |
5.5.124817.1 |
$5$ |
$124817$ |
$[25, 5, 2w^{4} - 2w^{3} - 11w^{2} - 2w + 2]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
25.1-c |
5.5.124817.1 |
$5$ |
$124817$ |
$[25, 5, 2w^{4} - 2w^{3} - 11w^{2} - 2w + 2]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
25.1-d |
5.5.124817.1 |
$5$ |
$124817$ |
$[25, 5, 2w^{4} - 2w^{3} - 11w^{2} - 2w + 2]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
25.1-e |
5.5.124817.1 |
$5$ |
$124817$ |
$[25, 5, 2w^{4} - 2w^{3} - 11w^{2} - 2w + 2]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$17$ |
|
|
27.1-a |
5.5.124817.1 |
$5$ |
$124817$ |
$[27, 27, -w^{4} + w^{3} + 5w^{2} + 2w + 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-b |
5.5.124817.1 |
$5$ |
$124817$ |
$[27, 27, -w^{4} + w^{3} + 5w^{2} + 2w + 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-c |
5.5.124817.1 |
$5$ |
$124817$ |
$[27, 27, -w^{4} + w^{3} + 5w^{2} + 2w + 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
27.1-d |
5.5.124817.1 |
$5$ |
$124817$ |
$[27, 27, -w^{4} + w^{3} + 5w^{2} + 2w + 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
27.1-e |
5.5.124817.1 |
$5$ |
$124817$ |
$[27, 27, -w^{4} + w^{3} + 5w^{2} + 2w + 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
27.1-f |
5.5.124817.1 |
$5$ |
$124817$ |
$[27, 27, -w^{4} + w^{3} + 5w^{2} + 2w + 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
27.1-g |
5.5.124817.1 |
$5$ |
$124817$ |
$[27, 27, -w^{4} + w^{3} + 5w^{2} + 2w + 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
29.1-a |
5.5.124817.1 |
$5$ |
$124817$ |
$[29, 29, -w^{4} + 7w^{2} + 5w - 1]$ |
$29$ |
$[2, 2, 2, 2, 2]$ |
$14$ |
|
|
29.1-b |
5.5.124817.1 |
$5$ |
$124817$ |
$[29, 29, -w^{4} + 7w^{2} + 5w - 1]$ |
$29$ |
$[2, 2, 2, 2, 2]$ |
$18$ |
|
|
32.1-a |
5.5.124817.1 |
$5$ |
$124817$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-b |
5.5.124817.1 |
$5$ |
$124817$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-c |
5.5.124817.1 |
$5$ |
$124817$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
32.1-d |
5.5.124817.1 |
$5$ |
$124817$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$6$ |
|
|