Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
1.1-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
5.1-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[5, 5, -w^{3} + 2w^{2} + 3w]$ |
$5$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
5.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[5, 5, -w^{3} + 2w^{2} + 3w]$ |
$5$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
7.1-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[7, 7, w - 1]$ |
$7$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
7.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[7, 7, w - 1]$ |
$7$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
11.1-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[11, 11, -w^{3} + 2w^{2} + 4w]$ |
$11$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
13.1-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[13, 13, -2w^{3} + 3w^{2} + 10w - 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
13.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[13, 13, -2w^{3} + 3w^{2} + 10w - 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
13.1-c |
4.4.8789.1 |
$4$ |
$8789$ |
$[13, 13, -2w^{3} + 3w^{2} + 10w - 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
16.1-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
16.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
17.1-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^{3} + 2w^{2} + 5w - 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
17.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^{3} + 2w^{2} + 5w - 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
17.2-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^{3} + w^{2} + 5w]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
17.2-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^{3} + w^{2} + 5w]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
17.2-c |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^{3} + w^{2} + 5w]$ |
$17$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
17.2-d |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^{3} + w^{2} + 5w]$ |
$17$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
17.2-e |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^{3} + w^{2} + 5w]$ |
$17$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
17.3-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^{2} + 2w + 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
17.3-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^{2} + 2w + 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
17.3-c |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^{2} + 2w + 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
17.3-d |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^{2} + 2w + 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
19.1-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[19, 19, w^{2} - w - 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
19.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[19, 19, w^{2} - w - 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
19.1-c |
4.4.8789.1 |
$4$ |
$8789$ |
$[19, 19, w^{2} - w - 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
19.1-d |
4.4.8789.1 |
$4$ |
$8789$ |
$[19, 19, w^{2} - w - 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
25.1-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[25, 25, w^{3} - w^{2} - 6w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
25.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[25, 25, w^{3} - w^{2} - 6w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
25.1-c |
4.4.8789.1 |
$4$ |
$8789$ |
$[25, 25, w^{3} - w^{2} - 6w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
25.1-d |
4.4.8789.1 |
$4$ |
$8789$ |
$[25, 25, w^{3} - w^{2} - 6w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
25.1-e |
4.4.8789.1 |
$4$ |
$8789$ |
$[25, 25, w^{3} - w^{2} - 6w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
25.1-f |
4.4.8789.1 |
$4$ |
$8789$ |
$[25, 25, w^{3} - w^{2} - 6w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
25.1-g |
4.4.8789.1 |
$4$ |
$8789$ |
$[25, 25, w^{3} - w^{2} - 6w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
29.1-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[29, 29, w^{3} - 2w^{2} - 5w]$ |
$29$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
29.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[29, 29, w^{3} - 2w^{2} - 5w]$ |
$29$ |
$[2, 2, 2, 2]$ |
$13$ |
|
|
29.2-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[29, 29, w^{2} - w - 3]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
29.2-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[29, 29, w^{2} - w - 3]$ |
$29$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
29.2-c |
4.4.8789.1 |
$4$ |
$8789$ |
$[29, 29, w^{2} - w - 3]$ |
$29$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
29.2-d |
4.4.8789.1 |
$4$ |
$8789$ |
$[29, 29, w^{2} - w - 3]$ |
$29$ |
$[2, 2, 2, 2]$ |
$11$ |
|
|
31.1-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^{3} + 2w^{2} + 3w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^{3} + 2w^{2} + 3w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-c |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^{3} + 2w^{2} + 3w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-d |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^{3} + 2w^{2} + 3w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-e |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^{3} + 2w^{2} + 3w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
31.1-f |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^{3} + 2w^{2} + 3w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
31.1-g |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^{3} + 2w^{2} + 3w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
31.1-h |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^{3} + 2w^{2} + 3w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
31.1-i |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^{3} + 2w^{2} + 3w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
35.1-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[35, 35, 2w^{3} - 4w^{2} - 9w + 4]$ |
$35$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
35.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[35, 35, 2w^{3} - 4w^{2} - 9w + 4]$ |
$35$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|