| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$3$ |
|
✓ |
| 4.2-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[4, 2, -\frac{1}{2}w^{3} + w^{2} + \frac{3}{2}w - 1]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 4.2-b |
4.4.7232.1 |
$4$ |
$7232$ |
$[4, 2, -\frac{1}{2}w^{3} + w^{2} + \frac{3}{2}w - 1]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 8.1-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[8,2,w^{3} - 3w^{2} - 2w + 6]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.2-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[8, 2, \frac{1}{2}w^{3} - \frac{5}{2}w - 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.3-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[8, 4, w - 2]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 8.4-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[8,4,\frac{1}{2}w^{3} - w^{2} - \frac{5}{2}w]$ |
$8$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.1-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.2-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[16, 4, w^{2} - 2w - 4]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.2-b |
4.4.7232.1 |
$4$ |
$7232$ |
$[16, 4, w^{2} - 2w - 4]$ |
$16$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 16.3-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[16, 4, -w^{2} + w + 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.3-b |
4.4.7232.1 |
$4$ |
$7232$ |
$[16, 4, -w^{2} + w + 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.3-c |
4.4.7232.1 |
$4$ |
$7232$ |
$[16, 4, -w^{2} + w + 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.4-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[16,4,-w^{2} + 2w + 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.4-b |
4.4.7232.1 |
$4$ |
$7232$ |
$[16,4,-w^{2} + 2w + 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 16.5-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[16,4,-\frac{1}{2}w^{3} + 2w^{2} + \frac{1}{2}w - 5]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.5-b |
4.4.7232.1 |
$4$ |
$7232$ |
$[16,4,-\frac{1}{2}w^{3} + 2w^{2} + \frac{1}{2}w - 5]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.5-c |
4.4.7232.1 |
$4$ |
$7232$ |
$[16,4,-\frac{1}{2}w^{3} + 2w^{2} + \frac{1}{2}w - 5]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[17, 17, w^{2} - w - 5]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.1-b |
4.4.7232.1 |
$4$ |
$7232$ |
$[17, 17, w^{2} - w - 5]$ |
$17$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 17.1-c |
4.4.7232.1 |
$4$ |
$7232$ |
$[17, 17, w^{2} - w - 5]$ |
$17$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 17.1-d |
4.4.7232.1 |
$4$ |
$7232$ |
$[17, 17, w^{2} - w - 5]$ |
$17$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 17.1-e |
4.4.7232.1 |
$4$ |
$7232$ |
$[17, 17, w^{2} - w - 5]$ |
$17$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 17.2-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[17,17,\frac{1}{2}w^{3} - 2w^{2} - \frac{1}{2}w + 2]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 17.2-b |
4.4.7232.1 |
$4$ |
$7232$ |
$[17,17,\frac{1}{2}w^{3} - 2w^{2} - \frac{1}{2}w + 2]$ |
$17$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 17.2-c |
4.4.7232.1 |
$4$ |
$7232$ |
$[17,17,\frac{1}{2}w^{3} - 2w^{2} - \frac{1}{2}w + 2]$ |
$17$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 17.2-d |
4.4.7232.1 |
$4$ |
$7232$ |
$[17,17,\frac{1}{2}w^{3} - 2w^{2} - \frac{1}{2}w + 2]$ |
$17$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 17.2-e |
4.4.7232.1 |
$4$ |
$7232$ |
$[17,17,\frac{1}{2}w^{3} - 2w^{2} - \frac{1}{2}w + 2]$ |
$17$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
| 23.1-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[23, 23, \frac{1}{2}w^{3} - 2w^{2} - \frac{1}{2}w + 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 23.1-b |
4.4.7232.1 |
$4$ |
$7232$ |
$[23, 23, \frac{1}{2}w^{3} - 2w^{2} - \frac{1}{2}w + 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 23.1-c |
4.4.7232.1 |
$4$ |
$7232$ |
$[23, 23, \frac{1}{2}w^{3} - 2w^{2} - \frac{1}{2}w + 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
| 23.2-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[23,23,w^{2} - w - 3]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 23.2-b |
4.4.7232.1 |
$4$ |
$7232$ |
$[23,23,w^{2} - w - 3]$ |
$23$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 23.2-c |
4.4.7232.1 |
$4$ |
$7232$ |
$[23,23,w^{2} - w - 3]$ |
$23$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
| 32.1-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[32, 4, w^{3} - 3w^{2} - 2w + 4]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-b |
4.4.7232.1 |
$4$ |
$7232$ |
$[32, 4, w^{3} - 3w^{2} - 2w + 4]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-c |
4.4.7232.1 |
$4$ |
$7232$ |
$[32, 4, w^{3} - 3w^{2} - 2w + 4]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-d |
4.4.7232.1 |
$4$ |
$7232$ |
$[32, 4, w^{3} - 3w^{2} - 2w + 4]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-e |
4.4.7232.1 |
$4$ |
$7232$ |
$[32, 4, w^{3} - 3w^{2} - 2w + 4]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-f |
4.4.7232.1 |
$4$ |
$7232$ |
$[32, 4, w^{3} - 3w^{2} - 2w + 4]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.2-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[32, 4, w^{3} - 2w^{2} - 5w + 6]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.2-b |
4.4.7232.1 |
$4$ |
$7232$ |
$[32, 4, w^{3} - 2w^{2} - 5w + 6]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.2-c |
4.4.7232.1 |
$4$ |
$7232$ |
$[32, 4, w^{3} - 2w^{2} - 5w + 6]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.3-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[32,4,\frac{1}{2}w^{3} - \frac{5}{2}w - 3]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.3-b |
4.4.7232.1 |
$4$ |
$7232$ |
$[32,4,\frac{1}{2}w^{3} - \frac{5}{2}w - 3]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.3-c |
4.4.7232.1 |
$4$ |
$7232$ |
$[32,4,\frac{1}{2}w^{3} - \frac{5}{2}w - 3]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.3-d |
4.4.7232.1 |
$4$ |
$7232$ |
$[32,4,\frac{1}{2}w^{3} - \frac{5}{2}w - 3]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.3-e |
4.4.7232.1 |
$4$ |
$7232$ |
$[32,4,\frac{1}{2}w^{3} - \frac{5}{2}w - 3]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.3-f |
4.4.7232.1 |
$4$ |
$7232$ |
$[32,4,\frac{1}{2}w^{3} - \frac{5}{2}w - 3]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 32.4-a |
4.4.7232.1 |
$4$ |
$7232$ |
$[32,4,2w + 2]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
