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 |
$4$ |
$4913$ |
$[4, 2, -\frac{1}{2}w^{3} + 3w + \frac{5}{2}]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
4.2-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[4,2,w^{3} - w^{2} - 6w + 2]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
13.1-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[13, 13, -\frac{1}{2}w^{3} + w^{2} + 3w - \frac{1}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
13.1-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[13, 13, -\frac{1}{2}w^{3} + w^{2} + 3w - \frac{1}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
13.2-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[13,13,\frac{1}{2}w^{3} - w^{2} - 3w + \frac{7}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
13.2-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[13,13,\frac{1}{2}w^{3} - w^{2} - 3w + \frac{7}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
13.3-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[13,13,\frac{1}{2}w^{3} - 4w + \frac{1}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
13.3-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[13,13,\frac{1}{2}w^{3} - 4w + \frac{1}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
13.4-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[13,13,-\frac{1}{2}w^{3} + 4w + \frac{5}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
13.4-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[13,13,-\frac{1}{2}w^{3} + 4w + \frac{5}{2}]$ |
$13$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
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 |
$4$ |
$4913$ |
$[16, 4, w^{3} - w^{2} - 5w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
16.3-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[16,4,-w^{3} + w^{2} + 5w - 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
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 |
$4$ |
$4913$ |
$[47,47,-w^{3} + 2w^{2} + 5w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.2-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-w^{3} + 2w^{2} + 5w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.2-c |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-w^{3} + 2w^{2} + 5w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.2-d |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-w^{3} + 2w^{2} + 5w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.2-e |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-w^{3} + 2w^{2} + 5w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.2-f |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-w^{3} + 2w^{2} + 5w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.2-g |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-w^{3} + 2w^{2} + 5w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
47.2-h |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-w^{3} + 2w^{2} + 5w - 5]$ |
$47$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
47.3-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2}w^{3} - w^{2} - 10w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.3-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2}w^{3} - w^{2} - 10w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.3-c |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2}w^{3} - w^{2} - 10w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.3-d |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2}w^{3} - w^{2} - 10w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.3-e |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2}w^{3} - w^{2} - 10w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.3-f |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2}w^{3} - w^{2} - 10w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.3-g |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2}w^{3} - w^{2} - 10w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
47.3-h |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,\frac{3}{2}w^{3} - w^{2} - 10w - \frac{3}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
47.4-a |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2}w^{3} + 5w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.4-b |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2}w^{3} + 5w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.4-c |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2}w^{3} + 5w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.4-d |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2}w^{3} + 5w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.4-e |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2}w^{3} + 5w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.4-f |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2}w^{3} + 5w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.4-g |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2}w^{3} + 5w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
47.4-h |
4.4.4913.1 |
$4$ |
$4913$ |
$[47,47,-\frac{1}{2}w^{3} + 5w - \frac{1}{2}]$ |
$47$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|