| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
4.4.12400.1 |
$4$ |
$12400$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 4.1-a |
4.4.12400.1 |
$4$ |
$12400$ |
$[4, 2, -\frac{1}{2} w^3 - \frac{1}{2} w^2 + \frac{7}{2} w + \frac{11}{2}]$ |
$4$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 5.1-a |
4.4.12400.1 |
$4$ |
$12400$ |
$[5, 5, -\frac{1}{2} w^3 + w^2 + \frac{5}{2} w - 4]$ |
$5$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 5.1-b |
4.4.12400.1 |
$4$ |
$12400$ |
$[5, 5, -\frac{1}{2} w^3 + w^2 + \frac{5}{2} w - 4]$ |
$5$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 5.2-a |
4.4.12400.1 |
$4$ |
$12400$ |
$[5,5,\frac{1}{2} w^3 + w^2 - \frac{5}{2} w - 4]$ |
$5$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 5.2-b |
4.4.12400.1 |
$4$ |
$12400$ |
$[5,5,\frac{1}{2} w^3 + w^2 - \frac{5}{2} w - 4]$ |
$5$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.1-a |
4.4.12400.1 |
$4$ |
$12400$ |
$[9, 3, -\frac{1}{2} w^3 + \frac{1}{2} w^2 + \frac{7}{2} w - \frac{9}{2}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.1-b |
4.4.12400.1 |
$4$ |
$12400$ |
$[9, 3, -\frac{1}{2} w^3 + \frac{1}{2} w^2 + \frac{7}{2} w - \frac{9}{2}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.1-c |
4.4.12400.1 |
$4$ |
$12400$ |
$[9, 3, -\frac{1}{2} w^3 + \frac{1}{2} w^2 + \frac{7}{2} w - \frac{9}{2}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 9.1-d |
4.4.12400.1 |
$4$ |
$12400$ |
$[9, 3, -\frac{1}{2} w^3 + \frac{1}{2} w^2 + \frac{7}{2} w - \frac{9}{2}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 9.2-a |
4.4.12400.1 |
$4$ |
$12400$ |
$[9,3,\frac{1}{2} w^3 + \frac{1}{2} w^2 - \frac{7}{2} w - \frac{9}{2}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.2-b |
4.4.12400.1 |
$4$ |
$12400$ |
$[9,3,\frac{1}{2} w^3 + \frac{1}{2} w^2 - \frac{7}{2} w - \frac{9}{2}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 9.2-c |
4.4.12400.1 |
$4$ |
$12400$ |
$[9,3,\frac{1}{2} w^3 + \frac{1}{2} w^2 - \frac{7}{2} w - \frac{9}{2}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 9.2-d |
4.4.12400.1 |
$4$ |
$12400$ |
$[9,3,\frac{1}{2} w^3 + \frac{1}{2} w^2 - \frac{7}{2} w - \frac{9}{2}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 16.1-a |
4.4.12400.1 |
$4$ |
$12400$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.1-b |
4.4.12400.1 |
$4$ |
$12400$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 16.1-c |
4.4.12400.1 |
$4$ |
$12400$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 16.1-d |
4.4.12400.1 |
$4$ |
$12400$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$8$ |
|
✓ |
| 19.1-a |
4.4.12400.1 |
$4$ |
$12400$ |
$[19, 19, -\frac{1}{2} w^2 + w + \frac{5}{2}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 19.1-b |
4.4.12400.1 |
$4$ |
$12400$ |
$[19, 19, -\frac{1}{2} w^2 + w + \frac{5}{2}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 19.1-c |
4.4.12400.1 |
$4$ |
$12400$ |
$[19, 19, -\frac{1}{2} w^2 + w + \frac{5}{2}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.1-d |
4.4.12400.1 |
$4$ |
$12400$ |
$[19, 19, -\frac{1}{2} w^2 + w + \frac{5}{2}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.2-a |
4.4.12400.1 |
$4$ |
$12400$ |
$[19,19,-\frac{1}{2} w^2 - w + \frac{5}{2}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 19.2-b |
4.4.12400.1 |
$4$ |
$12400$ |
$[19,19,-\frac{1}{2} w^2 - w + \frac{5}{2}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 19.2-c |
4.4.12400.1 |
$4$ |
$12400$ |
$[19,19,-\frac{1}{2} w^2 - w + \frac{5}{2}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.2-d |
4.4.12400.1 |
$4$ |
$12400$ |
$[19,19,-\frac{1}{2} w^2 - w + \frac{5}{2}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 20.1-a |
4.4.12400.1 |
$4$ |
$12400$ |
$[20, 10, -\frac{1}{2} w^3 - \frac{1}{2} w^2 + \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 20.1-b |
4.4.12400.1 |
$4$ |
$12400$ |
$[20, 10, -\frac{1}{2} w^3 - \frac{1}{2} w^2 + \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 20.1-c |
4.4.12400.1 |
$4$ |
$12400$ |
$[20, 10, -\frac{1}{2} w^3 - \frac{1}{2} w^2 + \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 20.1-d |
4.4.12400.1 |
$4$ |
$12400$ |
$[20, 10, -\frac{1}{2} w^3 - \frac{1}{2} w^2 + \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 20.1-e |
4.4.12400.1 |
$4$ |
$12400$ |
$[20, 10, -\frac{1}{2} w^3 - \frac{1}{2} w^2 + \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 20.1-f |
4.4.12400.1 |
$4$ |
$12400$ |
$[20, 10, -\frac{1}{2} w^3 - \frac{1}{2} w^2 + \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 20.1-g |
4.4.12400.1 |
$4$ |
$12400$ |
$[20, 10, -\frac{1}{2} w^3 - \frac{1}{2} w^2 + \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 20.1-h |
4.4.12400.1 |
$4$ |
$12400$ |
$[20, 10, -\frac{1}{2} w^3 - \frac{1}{2} w^2 + \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 20.2-a |
4.4.12400.1 |
$4$ |
$12400$ |
$[20,10,\frac{1}{2} w^3 - \frac{1}{2} w^2 - \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 20.2-b |
4.4.12400.1 |
$4$ |
$12400$ |
$[20,10,\frac{1}{2} w^3 - \frac{1}{2} w^2 - \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 20.2-c |
4.4.12400.1 |
$4$ |
$12400$ |
$[20,10,\frac{1}{2} w^3 - \frac{1}{2} w^2 - \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 20.2-d |
4.4.12400.1 |
$4$ |
$12400$ |
$[20,10,\frac{1}{2} w^3 - \frac{1}{2} w^2 - \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 20.2-e |
4.4.12400.1 |
$4$ |
$12400$ |
$[20,10,\frac{1}{2} w^3 - \frac{1}{2} w^2 - \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 20.2-f |
4.4.12400.1 |
$4$ |
$12400$ |
$[20,10,\frac{1}{2} w^3 - \frac{1}{2} w^2 - \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 20.2-g |
4.4.12400.1 |
$4$ |
$12400$ |
$[20,10,\frac{1}{2} w^3 - \frac{1}{2} w^2 - \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 20.2-h |
4.4.12400.1 |
$4$ |
$12400$ |
$[20,10,\frac{1}{2} w^3 - \frac{1}{2} w^2 - \frac{7}{2} w + \frac{7}{2}]$ |
$20$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 25.1-a |
4.4.12400.1 |
$4$ |
$12400$ |
$[25, 5, w^2 - 6]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 25.1-b |
4.4.12400.1 |
$4$ |
$12400$ |
$[25, 5, w^2 - 6]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-c |
4.4.12400.1 |
$4$ |
$12400$ |
$[25, 5, w^2 - 6]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 25.1-d |
4.4.12400.1 |
$4$ |
$12400$ |
$[25, 5, w^2 - 6]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-e |
4.4.12400.1 |
$4$ |
$12400$ |
$[25, 5, w^2 - 6]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-f |
4.4.12400.1 |
$4$ |
$12400$ |
$[25, 5, w^2 - 6]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-g |
4.4.12400.1 |
$4$ |
$12400$ |
$[25, 5, w^2 - 6]$ |
$25$ |
$[2, 2, 2, 2]$ |
$9$ |
|
✓ |
| 25.1-h |
4.4.12400.1 |
$4$ |
$12400$ |
$[25, 5, w^2 - 6]$ |
$25$ |
$[2, 2, 2, 2]$ |
$9$ |
|
✓ |
