| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 4.1-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[4, 2, -\frac{1}{2} w^3 + 3 w + \frac{5}{2}]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 4.2-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[4,2,w^3 - w^2 - 6 w + 2]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 13.1-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[13, 13, -\frac{1}{2} w^3 + w^2 + 3 w - \frac{1}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 13.1-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[13, 13, -\frac{1}{2} w^3 + w^2 + 3 w - \frac{1}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 13.2-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[13,13,\frac{1}{2} w^3 - w^2 - 3 w + \frac{7}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 13.2-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[13,13,\frac{1}{2} w^3 - w^2 - 3 w + \frac{7}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 13.3-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[13,13,\frac{1}{2} w^3 - 4 w + \frac{1}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 13.3-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[13,13,\frac{1}{2} w^3 - 4 w + \frac{1}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 13.4-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[13,13,-\frac{1}{2} w^3 + 4 w + \frac{5}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 13.4-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[13,13,-\frac{1}{2} w^3 + 4 w + \frac{5}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 16.1-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-c |
4.4.4913.1 |
$4$ |
$4913$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.2-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[16, 4, w^3 - w^2 - 5 w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.3-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[16,4,-w^3 + w^2 + 5 w - 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 17.1-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[17, 17, \frac{1}{2} w^3 - w^2 - w + \frac{3}{2}]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 17.1-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[17, 17, \frac{1}{2} w^3 - w^2 - w + \frac{3}{2}]$ |
$17$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 47.1-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[47, 47, -w^2 + 2]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.1-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[47, 47, -w^2 + 2]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.1-c |
4.4.4913.1 |
$4$ |
$4913$ |
$[47, 47, -w^2 + 2]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.1-d |
4.4.4913.1 |
$4$ |
$4913$ |
$[47, 47, -w^2 + 2]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.1-e |
4.4.4913.1 |
$4$ |
$4913$ |
$[47, 47, -w^2 + 2]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.1-f |
4.4.4913.1 |
$4$ |
$4913$ |
$[47, 47, -w^2 + 2]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.1-g |
4.4.4913.1 |
$4$ |
$4913$ |
$[47, 47, -w^2 + 2]$ |
$47$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 47.1-h |
4.4.4913.1 |
$4$ |
$4913$ |
$[47, 47, -w^2 + 2]$ |
$47$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 47.2-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-w^3 + 2 w^2 + 5 w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.2-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-w^3 + 2 w^2 + 5 w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.2-c |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-w^3 + 2 w^2 + 5 w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.2-d |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-w^3 + 2 w^2 + 5 w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.2-e |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-w^3 + 2 w^2 + 5 w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.2-f |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-w^3 + 2 w^2 + 5 w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.2-g |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-w^3 + 2 w^2 + 5 w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 47.2-h |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-w^3 + 2 w^2 + 5 w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 47.3-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2} w^3 - w^2 - 10 w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.3-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2} w^3 - w^2 - 10 w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.3-c |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2} w^3 - w^2 - 10 w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.3-d |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2} w^3 - w^2 - 10 w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.3-e |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2} w^3 - w^2 - 10 w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.3-f |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2} w^3 - w^2 - 10 w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.3-g |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2} w^3 - w^2 - 10 w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 47.3-h |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2} w^3 - w^2 - 10 w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 47.4-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2} w^3 + 5 w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.4-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2} w^3 + 5 w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.4-c |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2} w^3 + 5 w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.4-d |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2} w^3 + 5 w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.4-e |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2} w^3 + 5 w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.4-f |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2} w^3 + 5 w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.4-g |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2} w^3 + 5 w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 47.4-h |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2} w^3 + 5 w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
