| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 5.1-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[5, 5, w^{3} - 4w]$ |
$5$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 5.1-b |
4.4.6809.1 |
$4$ |
$6809$ |
$[5, 5, w^{3} - 4w]$ |
$5$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 8.1-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[8, 2, w^{3} - w^{2} - 4w + 3]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.1-b |
4.4.6809.1 |
$4$ |
$6809$ |
$[8, 2, w^{3} - w^{2} - 4w + 3]$ |
$8$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 8.2-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[8, 8, w^{3} - 4w - 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.2-b |
4.4.6809.1 |
$4$ |
$6809$ |
$[8, 8, w^{3} - 4w - 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 10.1-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[10, 10, -w^{2} + w + 2]$ |
$10$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 10.1-b |
4.4.6809.1 |
$4$ |
$6809$ |
$[10, 10, -w^{2} + w + 2]$ |
$10$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 10.1-c |
4.4.6809.1 |
$4$ |
$6809$ |
$[10, 10, -w^{2} + w + 2]$ |
$10$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 11.1-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[11, 11, w^{3} - 5w + 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 11.1-b |
4.4.6809.1 |
$4$ |
$6809$ |
$[11, 11, w^{3} - 5w + 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 16.1-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.1-b |
4.4.6809.1 |
$4$ |
$6809$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.1-c |
4.4.6809.1 |
$4$ |
$6809$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.1-d |
4.4.6809.1 |
$4$ |
$6809$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 16.2-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[16, 16, w^{3} - 6w + 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.2-b |
4.4.6809.1 |
$4$ |
$6809$ |
$[16, 16, w^{3} - 6w + 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.2-c |
4.4.6809.1 |
$4$ |
$6809$ |
$[16, 16, w^{3} - 6w + 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 17.1-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[17, 17, -w^{3} - w^{2} + 5w + 4]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-b |
4.4.6809.1 |
$4$ |
$6809$ |
$[17, 17, -w^{3} - w^{2} + 5w + 4]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-c |
4.4.6809.1 |
$4$ |
$6809$ |
$[17, 17, -w^{3} - w^{2} + 5w + 4]$ |
$17$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 17.1-d |
4.4.6809.1 |
$4$ |
$6809$ |
$[17, 17, -w^{3} - w^{2} + 5w + 4]$ |
$17$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 20.1-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[20, 20, w^{3} - w^{2} - 5w + 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 20.1-b |
4.4.6809.1 |
$4$ |
$6809$ |
$[20, 20, w^{3} - w^{2} - 5w + 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 22.1-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[22, 22, -w^{2} + 3]$ |
$22$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 22.1-b |
4.4.6809.1 |
$4$ |
$6809$ |
$[22, 22, -w^{2} + 3]$ |
$22$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 22.1-c |
4.4.6809.1 |
$4$ |
$6809$ |
$[22, 22, -w^{2} + 3]$ |
$22$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 22.1-d |
4.4.6809.1 |
$4$ |
$6809$ |
$[22, 22, -w^{2} + 3]$ |
$22$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 22.1-e |
4.4.6809.1 |
$4$ |
$6809$ |
$[22, 22, -w^{2} + 3]$ |
$22$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 22.1-f |
4.4.6809.1 |
$4$ |
$6809$ |
$[22, 22, -w^{2} + 3]$ |
$22$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 23.1-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[23, 23, -w^{2} + 2]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 23.1-b |
4.4.6809.1 |
$4$ |
$6809$ |
$[23, 23, -w^{2} + 2]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 23.1-c |
4.4.6809.1 |
$4$ |
$6809$ |
$[23, 23, -w^{2} + 2]$ |
$23$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 23.1-d |
4.4.6809.1 |
$4$ |
$6809$ |
$[23, 23, -w^{2} + 2]$ |
$23$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 23.1-e |
4.4.6809.1 |
$4$ |
$6809$ |
$[23, 23, -w^{2} + 2]$ |
$23$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[25, 25, w^{3} - w^{2} - 3w + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-b |
4.4.6809.1 |
$4$ |
$6809$ |
$[25, 25, w^{3} - w^{2} - 3w + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-c |
4.4.6809.1 |
$4$ |
$6809$ |
$[25, 25, w^{3} - w^{2} - 3w + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-d |
4.4.6809.1 |
$4$ |
$6809$ |
$[25, 25, w^{3} - w^{2} - 3w + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-e |
4.4.6809.1 |
$4$ |
$6809$ |
$[25, 25, w^{3} - w^{2} - 3w + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-f |
4.4.6809.1 |
$4$ |
$6809$ |
$[25, 25, w^{3} - w^{2} - 3w + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-g |
4.4.6809.1 |
$4$ |
$6809$ |
$[25, 25, w^{3} - w^{2} - 3w + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 25.1-h |
4.4.6809.1 |
$4$ |
$6809$ |
$[25, 25, w^{3} - w^{2} - 3w + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 25.1-i |
4.4.6809.1 |
$4$ |
$6809$ |
$[25, 25, w^{3} - w^{2} - 3w + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 29.1-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[29, 29, -w^{2} - w + 3]$ |
$29$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 29.1-b |
4.4.6809.1 |
$4$ |
$6809$ |
$[29, 29, -w^{2} - w + 3]$ |
$29$ |
$[2, 2, 2, 2]$ |
$14$ |
|
|
| 31.1-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[31, 31, -w^{3} + 6w + 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 31.1-b |
4.4.6809.1 |
$4$ |
$6809$ |
$[31, 31, -w^{3} + 6w + 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$14$ |
|
|
| 32.1-a |
4.4.6809.1 |
$4$ |
$6809$ |
$[32, 4, 2w + 2]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
