| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
4.4.12357.1 |
$4$ |
$12357$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 3.1-a |
4.4.12357.1 |
$4$ |
$12357$ |
$[3, 3, w]$ |
$3$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 7.1-a |
4.4.12357.1 |
$4$ |
$12357$ |
$[7, 7, -w^{2} + 2]$ |
$7$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 7.1-b |
4.4.12357.1 |
$4$ |
$12357$ |
$[7, 7, -w^{2} + 2]$ |
$7$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 9.1-a |
4.4.12357.1 |
$4$ |
$12357$ |
$[9, 3, -w^{2} + 3]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.1-b |
4.4.12357.1 |
$4$ |
$12357$ |
$[9, 3, -w^{2} + 3]$ |
$9$ |
$[2, 2, 2, 2]$ |
$3$ |
✓ |
|
| 9.1-c |
4.4.12357.1 |
$4$ |
$12357$ |
$[9, 3, -w^{2} + 3]$ |
$9$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 9.2-a |
4.4.12357.1 |
$4$ |
$12357$ |
$[9, 3, -w^{3} + 4w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.2-b |
4.4.12357.1 |
$4$ |
$12357$ |
$[9, 3, -w^{3} + 4w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.2-c |
4.4.12357.1 |
$4$ |
$12357$ |
$[9, 3, -w^{3} + 4w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.2-d |
4.4.12357.1 |
$4$ |
$12357$ |
$[9, 3, -w^{3} + 4w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.2-e |
4.4.12357.1 |
$4$ |
$12357$ |
$[9, 3, -w^{3} + 4w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.2-f |
4.4.12357.1 |
$4$ |
$12357$ |
$[9, 3, -w^{3} + 4w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.3-a |
4.4.12357.1 |
$4$ |
$12357$ |
$[9, 3, w^{2} - w - 2]$ |
$9$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 9.3-b |
4.4.12357.1 |
$4$ |
$12357$ |
$[9, 3, w^{2} - w - 2]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
✓ |
|
| 11.1-a |
4.4.12357.1 |
$4$ |
$12357$ |
$[11, 11, -w^{2} - w + 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 11.1-b |
4.4.12357.1 |
$4$ |
$12357$ |
$[11, 11, -w^{2} - w + 1]$ |
$11$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 16.1-a |
4.4.12357.1 |
$4$ |
$12357$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.1-b |
4.4.12357.1 |
$4$ |
$12357$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.1-c |
4.4.12357.1 |
$4$ |
$12357$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.1-d |
4.4.12357.1 |
$4$ |
$12357$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.1-e |
4.4.12357.1 |
$4$ |
$12357$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$20$ |
|
|
| 17.1-a |
4.4.12357.1 |
$4$ |
$12357$ |
$[17, 17, -w^{2} + w + 4]$ |
$17$ |
$[2, 2, 2, 2]$ |
$9$ |
|
|
| 17.1-b |
4.4.12357.1 |
$4$ |
$12357$ |
$[17, 17, -w^{2} + w + 4]$ |
$17$ |
$[2, 2, 2, 2]$ |
$9$ |
|
|
| 19.1-a |
4.4.12357.1 |
$4$ |
$12357$ |
$[19, 19, -w^{3} + w^{2} + 5w - 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 19.1-b |
4.4.12357.1 |
$4$ |
$12357$ |
$[19, 19, -w^{3} + w^{2} + 5w - 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 19.1-c |
4.4.12357.1 |
$4$ |
$12357$ |
$[19, 19, -w^{3} + w^{2} + 5w - 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
| 19.1-d |
4.4.12357.1 |
$4$ |
$12357$ |
$[19, 19, -w^{3} + w^{2} + 5w - 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$14$ |
|
|
| 21.1-a |
4.4.12357.1 |
$4$ |
$12357$ |
$[21, 21, -w^{3} + w^{2} + 4w - 1]$ |
$21$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 21.1-b |
4.4.12357.1 |
$4$ |
$12357$ |
$[21, 21, -w^{3} + w^{2} + 4w - 1]$ |
$21$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 21.1-c |
4.4.12357.1 |
$4$ |
$12357$ |
$[21, 21, -w^{3} + w^{2} + 4w - 1]$ |
$21$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 21.1-d |
4.4.12357.1 |
$4$ |
$12357$ |
$[21, 21, -w^{3} + w^{2} + 4w - 1]$ |
$21$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 21.2-a |
4.4.12357.1 |
$4$ |
$12357$ |
$[21, 21, -w + 3]$ |
$21$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 21.2-b |
4.4.12357.1 |
$4$ |
$12357$ |
$[21, 21, -w + 3]$ |
$21$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 21.2-c |
4.4.12357.1 |
$4$ |
$12357$ |
$[21, 21, -w + 3]$ |
$21$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 21.2-d |
4.4.12357.1 |
$4$ |
$12357$ |
$[21, 21, -w + 3]$ |
$21$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 21.2-e |
4.4.12357.1 |
$4$ |
$12357$ |
$[21, 21, -w + 3]$ |
$21$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 21.2-f |
4.4.12357.1 |
$4$ |
$12357$ |
$[21, 21, -w + 3]$ |
$21$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 21.2-g |
4.4.12357.1 |
$4$ |
$12357$ |
$[21, 21, -w + 3]$ |
$21$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 23.1-a |
4.4.12357.1 |
$4$ |
$12357$ |
$[23, 23, -w^{3} + w^{2} + 3w - 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 23.1-b |
4.4.12357.1 |
$4$ |
$12357$ |
$[23, 23, -w^{3} + w^{2} + 3w - 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 23.1-c |
4.4.12357.1 |
$4$ |
$12357$ |
$[23, 23, -w^{3} + w^{2} + 3w - 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 23.1-d |
4.4.12357.1 |
$4$ |
$12357$ |
$[23, 23, -w^{3} + w^{2} + 3w - 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 23.1-e |
4.4.12357.1 |
$4$ |
$12357$ |
$[23, 23, -w^{3} + w^{2} + 3w - 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 23.1-f |
4.4.12357.1 |
$4$ |
$12357$ |
$[23, 23, -w^{3} + w^{2} + 3w - 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 27.1-a |
4.4.12357.1 |
$4$ |
$12357$ |
$[27, 3, -w^{3} + 2w^{2} + 3w - 6]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-b |
4.4.12357.1 |
$4$ |
$12357$ |
$[27, 3, -w^{3} + 2w^{2} + 3w - 6]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-c |
4.4.12357.1 |
$4$ |
$12357$ |
$[27, 3, -w^{3} + 2w^{2} + 3w - 6]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-d |
4.4.12357.1 |
$4$ |
$12357$ |
$[27, 3, -w^{3} + 2w^{2} + 3w - 6]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-e |
4.4.12357.1 |
$4$ |
$12357$ |
$[27, 3, -w^{3} + 2w^{2} + 3w - 6]$ |
$27$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
