| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
4.4.12197.1 |
$4$ |
$12197$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 5.1-a |
4.4.12197.1 |
$4$ |
$12197$ |
$[5, 5, w + 1]$ |
$5$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 5.1-b |
4.4.12197.1 |
$4$ |
$12197$ |
$[5, 5, w + 1]$ |
$5$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 5.2-a |
4.4.12197.1 |
$4$ |
$12197$ |
$[5, 5, -w + 2]$ |
$5$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 5.2-b |
4.4.12197.1 |
$4$ |
$12197$ |
$[5, 5, -w + 2]$ |
$5$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 11.1-a |
4.4.12197.1 |
$4$ |
$12197$ |
$[11, 11, w^{3} - w^{2} - 4w + 2]$ |
$11$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 11.1-b |
4.4.12197.1 |
$4$ |
$12197$ |
$[11, 11, w^{3} - w^{2} - 4w + 2]$ |
$11$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 13.1-a |
4.4.12197.1 |
$4$ |
$12197$ |
$[13, 13, w^{3} - w^{2} - 4w]$ |
$13$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
| 13.1-b |
4.4.12197.1 |
$4$ |
$12197$ |
$[13, 13, w^{3} - w^{2} - 4w]$ |
$13$ |
$[2, 2, 2, 2]$ |
$9$ |
|
|
| 16.1-a |
4.4.12197.1 |
$4$ |
$12197$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 16.1-b |
4.4.12197.1 |
$4$ |
$12197$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$12$ |
|
|
| 17.1-a |
4.4.12197.1 |
$4$ |
$12197$ |
$[17, 17, -w^{2} + w + 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-b |
4.4.12197.1 |
$4$ |
$12197$ |
$[17, 17, -w^{2} + w + 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-c |
4.4.12197.1 |
$4$ |
$12197$ |
$[17, 17, -w^{2} + w + 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-d |
4.4.12197.1 |
$4$ |
$12197$ |
$[17, 17, -w^{2} + w + 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-e |
4.4.12197.1 |
$4$ |
$12197$ |
$[17, 17, -w^{2} + w + 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-f |
4.4.12197.1 |
$4$ |
$12197$ |
$[17, 17, -w^{2} + w + 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 17.1-g |
4.4.12197.1 |
$4$ |
$12197$ |
$[17, 17, -w^{2} + w + 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 17.1-h |
4.4.12197.1 |
$4$ |
$12197$ |
$[17, 17, -w^{2} + w + 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.1-a |
4.4.12197.1 |
$4$ |
$12197$ |
$[19, 19, w^{3} - 5w]$ |
$19$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 19.1-b |
4.4.12197.1 |
$4$ |
$12197$ |
$[19, 19, w^{3} - 5w]$ |
$19$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 19.1-c |
4.4.12197.1 |
$4$ |
$12197$ |
$[19, 19, w^{3} - 5w]$ |
$19$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 19.1-d |
4.4.12197.1 |
$4$ |
$12197$ |
$[19, 19, w^{3} - 5w]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.2-a |
4.4.12197.1 |
$4$ |
$12197$ |
$[19, 19, -w + 3]$ |
$19$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 19.2-b |
4.4.12197.1 |
$4$ |
$12197$ |
$[19, 19, -w + 3]$ |
$19$ |
$[2, 2, 2, 2]$ |
$14$ |
|
|
| 23.1-a |
4.4.12197.1 |
$4$ |
$12197$ |
$[23, 23, 2w^{3} - 2w^{2} - 9w + 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 23.1-b |
4.4.12197.1 |
$4$ |
$12197$ |
$[23, 23, 2w^{3} - 2w^{2} - 9w + 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 23.1-c |
4.4.12197.1 |
$4$ |
$12197$ |
$[23, 23, 2w^{3} - 2w^{2} - 9w + 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
| 23.1-d |
4.4.12197.1 |
$4$ |
$12197$ |
$[23, 23, 2w^{3} - 2w^{2} - 9w + 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
| 23.2-a |
4.4.12197.1 |
$4$ |
$12197$ |
$[23, 23, w^{2} - 2]$ |
$23$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
| 23.2-b |
4.4.12197.1 |
$4$ |
$12197$ |
$[23, 23, w^{2} - 2]$ |
$23$ |
$[2, 2, 2, 2]$ |
$13$ |
|
|
| 25.1-a |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 5, w^{2} - 3]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 25.1-b |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 5, w^{2} - 3]$ |
$25$ |
$[2, 2, 2, 2]$ |
$9$ |
|
|
| 25.1-c |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 5, w^{2} - 3]$ |
$25$ |
$[2, 2, 2, 2]$ |
$20$ |
|
|
| 25.2-a |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 5, -w^{2} + w + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.2-b |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 5, -w^{2} + w + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 25.2-c |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 5, -w^{2} + w + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 25.2-d |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 5, -w^{2} + w + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 25.2-e |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 5, -w^{2} + w + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 25.3-a |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 25, -w^{3} + w^{2} + 5w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.3-b |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 25, -w^{3} + w^{2} + 5w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.3-c |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 25, -w^{3} + w^{2} + 5w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.3-d |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 25, -w^{3} + w^{2} + 5w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.3-e |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 25, -w^{3} + w^{2} + 5w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.3-f |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 25, -w^{3} + w^{2} + 5w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.3-g |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 25, -w^{3} + w^{2} + 5w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.3-h |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 25, -w^{3} + w^{2} + 5w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 25.3-i |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 25, -w^{3} + w^{2} + 5w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 25.3-j |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 25, -w^{3} + w^{2} + 5w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 25.3-k |
4.4.12197.1 |
$4$ |
$12197$ |
$[25, 25, -w^{3} + w^{2} + 5w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
