| 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 |
$4$ |
$8789$ |
$[5, 5, -w^3 + 2 w^2 + 3 w]$ |
$5$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 5.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[5, 5, -w^3 + 2 w^2 + 3 w]$ |
$5$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 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 |
$4$ |
$8789$ |
$[11, 11, -w^3 + 2 w^2 + 4 w]$ |
$11$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 13.1-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[13, 13, -2 w^3 + 3 w^2 + 10 w - 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 13.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[13, 13, -2 w^3 + 3 w^2 + 10 w - 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 13.1-c |
4.4.8789.1 |
$4$ |
$8789$ |
$[13, 13, -2 w^3 + 3 w^2 + 10 w - 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 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 |
$4$ |
$8789$ |
$[17, 17, -w^3 + 2 w^2 + 5 w - 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 17.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^3 + 2 w^2 + 5 w - 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
| 17.2-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^3 + w^2 + 5 w]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.2-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^3 + w^2 + 5 w]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.2-c |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^3 + w^2 + 5 w]$ |
$17$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 17.2-d |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^3 + w^2 + 5 w]$ |
$17$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 17.2-e |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^3 + w^2 + 5 w]$ |
$17$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 17.3-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^2 + 2 w + 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.3-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^2 + 2 w + 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 17.3-c |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^2 + 2 w + 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 17.3-d |
4.4.8789.1 |
$4$ |
$8789$ |
$[17, 17, -w^2 + 2 w + 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 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 |
$4$ |
$8789$ |
$[25, 25, w^3 - w^2 - 6 w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[25, 25, w^3 - w^2 - 6 w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-c |
4.4.8789.1 |
$4$ |
$8789$ |
$[25, 25, w^3 - w^2 - 6 w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-d |
4.4.8789.1 |
$4$ |
$8789$ |
$[25, 25, w^3 - w^2 - 6 w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-e |
4.4.8789.1 |
$4$ |
$8789$ |
$[25, 25, w^3 - w^2 - 6 w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 25.1-f |
4.4.8789.1 |
$4$ |
$8789$ |
$[25, 25, w^3 - w^2 - 6 w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-g |
4.4.8789.1 |
$4$ |
$8789$ |
$[25, 25, w^3 - w^2 - 6 w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 29.1-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[29, 29, w^3 - 2 w^2 - 5 w]$ |
$29$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
| 29.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[29, 29, w^3 - 2 w^2 - 5 w]$ |
$29$ |
$[2, 2, 2, 2]$ |
$13$ |
|
|
| 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 |
$4$ |
$8789$ |
$[31, 31, -w^3 + 2 w^2 + 3 w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 31.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^3 + 2 w^2 + 3 w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 31.1-c |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^3 + 2 w^2 + 3 w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 31.1-d |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^3 + 2 w^2 + 3 w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 31.1-e |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^3 + 2 w^2 + 3 w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 31.1-f |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^3 + 2 w^2 + 3 w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 31.1-g |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^3 + 2 w^2 + 3 w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 31.1-h |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^3 + 2 w^2 + 3 w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 31.1-i |
4.4.8789.1 |
$4$ |
$8789$ |
$[31, 31, -w^3 + 2 w^2 + 3 w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 35.1-a |
4.4.8789.1 |
$4$ |
$8789$ |
$[35, 35, 2 w^3 - 4 w^2 - 9 w + 4]$ |
$35$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 35.1-b |
4.4.8789.1 |
$4$ |
$8789$ |
$[35, 35, 2 w^3 - 4 w^2 - 9 w + 4]$ |
$35$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
