| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 7.1-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[7, 7, w^3 - 2 w^2 - 3 w + 1]$ |
$7$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 7.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[7, 7, w^3 - 2 w^2 - 3 w + 1]$ |
$7$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 9.1-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[9, 9, -w + 2]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[9, 9, -w + 2]$ |
$9$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 11.1-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[11, 11, -w - 2]$ |
$11$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 11.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[11, 11, -w - 2]$ |
$11$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 11.2-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[11, 11, -w^3 + 2 w^2 + 3 w - 2]$ |
$11$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 11.2-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[11, 11, -w^3 + 2 w^2 + 3 w - 2]$ |
$11$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 11.2-c |
4.4.11197.1 |
$4$ |
$11197$ |
$[11, 11, -w^3 + 2 w^2 + 3 w - 2]$ |
$11$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 11.2-d |
4.4.11197.1 |
$4$ |
$11197$ |
$[11, 11, -w^3 + 2 w^2 + 3 w - 2]$ |
$11$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 13.1-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[13, 13, -w^2 + 2 w + 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
| 13.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[13, 13, -w^2 + 2 w + 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
| 16.1-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 16.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 16.1-c |
4.4.11197.1 |
$4$ |
$11197$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
| 19.1-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[19, 19, -w^3 + 2 w^2 + 4 w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 19.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[19, 19, -w^3 + 2 w^2 + 4 w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 19.1-c |
4.4.11197.1 |
$4$ |
$11197$ |
$[19, 19, -w^3 + 2 w^2 + 4 w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 19.1-d |
4.4.11197.1 |
$4$ |
$11197$ |
$[19, 19, -w^3 + 2 w^2 + 4 w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 19.1-e |
4.4.11197.1 |
$4$ |
$11197$ |
$[19, 19, -w^3 + 2 w^2 + 4 w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 19.1-f |
4.4.11197.1 |
$4$ |
$11197$ |
$[19, 19, -w^3 + 2 w^2 + 4 w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 19.1-g |
4.4.11197.1 |
$4$ |
$11197$ |
$[19, 19, -w^3 + 2 w^2 + 4 w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 19.1-h |
4.4.11197.1 |
$4$ |
$11197$ |
$[19, 19, -w^3 + 2 w^2 + 4 w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 21.1-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[21, 21, w^3 - w^2 - 5 w]$ |
$21$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 21.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[21, 21, w^3 - w^2 - 5 w]$ |
$21$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 21.1-c |
4.4.11197.1 |
$4$ |
$11197$ |
$[21, 21, w^3 - w^2 - 5 w]$ |
$21$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 21.1-d |
4.4.11197.1 |
$4$ |
$11197$ |
$[21, 21, w^3 - w^2 - 5 w]$ |
$21$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 21.1-e |
4.4.11197.1 |
$4$ |
$11197$ |
$[21, 21, w^3 - w^2 - 5 w]$ |
$21$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 21.1-f |
4.4.11197.1 |
$4$ |
$11197$ |
$[21, 21, w^3 - w^2 - 5 w]$ |
$21$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 23.1-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[23, 23, -w^2 + w + 3]$ |
$23$ |
$[2, 2, 2, 2]$ |
$12$ |
|
|
| 23.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[23, 23, -w^2 + w + 3]$ |
$23$ |
$[2, 2, 2, 2]$ |
$12$ |
|
|
| 23.2-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[23, 23, -w^2 + 3]$ |
$23$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 23.2-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[23, 23, -w^2 + 3]$ |
$23$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 23.2-c |
4.4.11197.1 |
$4$ |
$11197$ |
$[23, 23, -w^2 + 3]$ |
$23$ |
$[2, 2, 2, 2]$ |
$12$ |
|
|
| 27.1-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[27, 3, w^3 - 3 w^2 - w + 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$14$ |
|
|
| 27.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[27, 3, w^3 - 3 w^2 - w + 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$14$ |
|
|
| 27.2-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[27, 27, -w^2 + w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 27.2-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[27, 27, -w^2 + w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 27.2-c |
4.4.11197.1 |
$4$ |
$11197$ |
$[27, 27, -w^2 + w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 27.2-d |
4.4.11197.1 |
$4$ |
$11197$ |
$[27, 27, -w^2 + w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 29.1-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[29, 29, -w^3 + 3 w^2 + 3 w - 5]$ |
$29$ |
$[2, 2, 2, 2]$ |
$15$ |
|
|
| 29.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[29, 29, -w^3 + 3 w^2 + 3 w - 5]$ |
$29$ |
$[2, 2, 2, 2]$ |
$15$ |
|
|
| 29.2-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[29, 29, w^3 - 2 w^2 - 4 w]$ |
$29$ |
$[2, 2, 2, 2]$ |
$16$ |
|
|
| 29.2-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[29, 29, w^3 - 2 w^2 - 4 w]$ |
$29$ |
$[2, 2, 2, 2]$ |
$16$ |
|
|
| 33.1-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[33, 33, -w^3 + w^2 + 4 w - 1]$ |
$33$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 33.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[33, 33, -w^3 + w^2 + 4 w - 1]$ |
$33$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 33.1-c |
4.4.11197.1 |
$4$ |
$11197$ |
$[33, 33, -w^3 + w^2 + 4 w - 1]$ |
$33$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 33.1-d |
4.4.11197.1 |
$4$ |
$11197$ |
$[33, 33, -w^3 + w^2 + 4 w - 1]$ |
$33$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 33.1-e |
4.4.11197.1 |
$4$ |
$11197$ |
$[33, 33, -w^3 + w^2 + 4 w - 1]$ |
$33$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|