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 |
$4$ |
$11197$ |
$[7, 7, w^{3} - 2w^{2} - 3w + 1]$ |
$7$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
7.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[7, 7, w^{3} - 2w^{2} - 3w + 1]$ |
$7$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
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 |
$4$ |
$11197$ |
$[11, 11, -w^{3} + 2w^{2} + 3w - 2]$ |
$11$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
11.2-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[11, 11, -w^{3} + 2w^{2} + 3w - 2]$ |
$11$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
11.2-c |
4.4.11197.1 |
$4$ |
$11197$ |
$[11, 11, -w^{3} + 2w^{2} + 3w - 2]$ |
$11$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
11.2-d |
4.4.11197.1 |
$4$ |
$11197$ |
$[11, 11, -w^{3} + 2w^{2} + 3w - 2]$ |
$11$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
13.1-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[13, 13, -w^{2} + 2w + 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
13.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[13, 13, -w^{2} + 2w + 2]$ |
$13$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
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 |
$4$ |
$11197$ |
$[19, 19, -w^{3} + 2w^{2} + 4w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
19.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[19, 19, -w^{3} + 2w^{2} + 4w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
19.1-c |
4.4.11197.1 |
$4$ |
$11197$ |
$[19, 19, -w^{3} + 2w^{2} + 4w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
19.1-d |
4.4.11197.1 |
$4$ |
$11197$ |
$[19, 19, -w^{3} + 2w^{2} + 4w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
19.1-e |
4.4.11197.1 |
$4$ |
$11197$ |
$[19, 19, -w^{3} + 2w^{2} + 4w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
19.1-f |
4.4.11197.1 |
$4$ |
$11197$ |
$[19, 19, -w^{3} + 2w^{2} + 4w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
19.1-g |
4.4.11197.1 |
$4$ |
$11197$ |
$[19, 19, -w^{3} + 2w^{2} + 4w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
19.1-h |
4.4.11197.1 |
$4$ |
$11197$ |
$[19, 19, -w^{3} + 2w^{2} + 4w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
21.1-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[21, 21, w^{3} - w^{2} - 5w]$ |
$21$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
21.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[21, 21, w^{3} - w^{2} - 5w]$ |
$21$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
21.1-c |
4.4.11197.1 |
$4$ |
$11197$ |
$[21, 21, w^{3} - w^{2} - 5w]$ |
$21$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
21.1-d |
4.4.11197.1 |
$4$ |
$11197$ |
$[21, 21, w^{3} - w^{2} - 5w]$ |
$21$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
21.1-e |
4.4.11197.1 |
$4$ |
$11197$ |
$[21, 21, w^{3} - w^{2} - 5w]$ |
$21$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
21.1-f |
4.4.11197.1 |
$4$ |
$11197$ |
$[21, 21, w^{3} - w^{2} - 5w]$ |
$21$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
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 |
$4$ |
$11197$ |
$[27, 3, w^{3} - 3w^{2} - w + 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$14$ |
|
|
27.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[27, 3, w^{3} - 3w^{2} - w + 4]$ |
$27$ |
$[2, 2, 2, 2]$ |
$14$ |
|
|
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 |
$4$ |
$11197$ |
$[29, 29, -w^{3} + 3w^{2} + 3w - 5]$ |
$29$ |
$[2, 2, 2, 2]$ |
$15$ |
|
|
29.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[29, 29, -w^{3} + 3w^{2} + 3w - 5]$ |
$29$ |
$[2, 2, 2, 2]$ |
$15$ |
|
|
29.2-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[29, 29, w^{3} - 2w^{2} - 4w]$ |
$29$ |
$[2, 2, 2, 2]$ |
$16$ |
|
|
29.2-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[29, 29, w^{3} - 2w^{2} - 4w]$ |
$29$ |
$[2, 2, 2, 2]$ |
$16$ |
|
|
33.1-a |
4.4.11197.1 |
$4$ |
$11197$ |
$[33, 33, -w^{3} + w^{2} + 4w - 1]$ |
$33$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
33.1-b |
4.4.11197.1 |
$4$ |
$11197$ |
$[33, 33, -w^{3} + w^{2} + 4w - 1]$ |
$33$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
33.1-c |
4.4.11197.1 |
$4$ |
$11197$ |
$[33, 33, -w^{3} + w^{2} + 4w - 1]$ |
$33$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
33.1-d |
4.4.11197.1 |
$4$ |
$11197$ |
$[33, 33, -w^{3} + w^{2} + 4w - 1]$ |
$33$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
33.1-e |
4.4.11197.1 |
$4$ |
$11197$ |
$[33, 33, -w^{3} + w^{2} + 4w - 1]$ |
$33$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|