| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 4.1-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[4, 2, \frac{1}{3} w^3 - \frac{4}{3} w^2 - \frac{4}{3} w + 6]$ |
$4$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 4.1-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[4, 2, \frac{1}{3} w^3 - \frac{4}{3} w^2 - \frac{4}{3} w + 6]$ |
$4$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 4.2-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[4,2,\frac{1}{3} w^3 + \frac{2}{3} w^2 - \frac{10}{3} w - 7]$ |
$4$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 4.2-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[4,2,\frac{1}{3} w^3 + \frac{2}{3} w^2 - \frac{10}{3} w - 7]$ |
$4$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.1-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[9, 3, -\frac{1}{2} w^3 + \frac{3}{2} w^2 + \frac{7}{2} w - 9]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.1-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[9, 3, -\frac{1}{2} w^3 + \frac{3}{2} w^2 + \frac{7}{2} w - 9]$ |
$9$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
| 9.2-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[9,3,-\frac{1}{3} w^3 - \frac{2}{3} w^2 + \frac{7}{3} w + 5]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.2-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[9,3,-\frac{1}{3} w^3 - \frac{2}{3} w^2 + \frac{7}{3} w + 5]$ |
$9$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
| 11.1-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[11, 11, -\frac{1}{6} w^3 + \frac{1}{6} w^2 + \frac{1}{6} w]$ |
$11$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 11.1-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[11, 11, -\frac{1}{6} w^3 + \frac{1}{6} w^2 + \frac{1}{6} w]$ |
$11$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 11.1-c |
4.4.16225.1 |
$4$ |
$16225$ |
$[11, 11, -\frac{1}{6} w^3 + \frac{1}{6} w^2 + \frac{1}{6} w]$ |
$11$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 11.1-d |
4.4.16225.1 |
$4$ |
$16225$ |
$[11, 11, -\frac{1}{6} w^3 + \frac{1}{6} w^2 + \frac{1}{6} w]$ |
$11$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 16.1-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.1-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.1-c |
4.4.16225.1 |
$4$ |
$16225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.1-d |
4.4.16225.1 |
$4$ |
$16225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 16.1-e |
4.4.16225.1 |
$4$ |
$16225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$9$ |
|
✓ |
| 16.1-f |
4.4.16225.1 |
$4$ |
$16225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$9$ |
|
✓ |
| 16.2-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[16, 4, -\frac{1}{3} w^3 + \frac{1}{3} w^2 + \frac{10}{3} w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 16.2-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[16, 4, -\frac{1}{3} w^3 + \frac{1}{3} w^2 + \frac{10}{3} w]$ |
$16$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
| 16.3-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[16,4,-\frac{1}{6} w^3 + \frac{1}{6} w^2 + \frac{1}{6} w + 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 16.3-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[16,4,-\frac{1}{6} w^3 + \frac{1}{6} w^2 + \frac{1}{6} w + 1]$ |
$16$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
| 19.1-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[19, 19, w + 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$17$ |
|
|
| 19.1-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[19, 19, w + 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$17$ |
|
|
| 19.2-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[19,19,\frac{1}{6} w^3 - \frac{1}{6} w^2 - \frac{13}{6} w + 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$17$ |
|
|
| 19.2-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[19,19,\frac{1}{6} w^3 - \frac{1}{6} w^2 - \frac{13}{6} w + 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$17$ |
|
|
| 25.1-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[25, 5, -\frac{1}{3} w^3 + \frac{1}{3} w^2 + \frac{7}{3} w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[25, 5, -\frac{1}{3} w^3 + \frac{1}{3} w^2 + \frac{7}{3} w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-c |
4.4.16225.1 |
$4$ |
$16225$ |
$[25, 5, -\frac{1}{3} w^3 + \frac{1}{3} w^2 + \frac{7}{3} w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 25.1-d |
4.4.16225.1 |
$4$ |
$16225$ |
$[25, 5, -\frac{1}{3} w^3 + \frac{1}{3} w^2 + \frac{7}{3} w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 25.1-e |
4.4.16225.1 |
$4$ |
$16225$ |
$[25, 5, -\frac{1}{3} w^3 + \frac{1}{3} w^2 + \frac{7}{3} w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-f |
4.4.16225.1 |
$4$ |
$16225$ |
$[25, 5, -\frac{1}{3} w^3 + \frac{1}{3} w^2 + \frac{7}{3} w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-g |
4.4.16225.1 |
$4$ |
$16225$ |
$[25, 5, -\frac{1}{3} w^3 + \frac{1}{3} w^2 + \frac{7}{3} w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-h |
4.4.16225.1 |
$4$ |
$16225$ |
$[25, 5, -\frac{1}{3} w^3 + \frac{1}{3} w^2 + \frac{7}{3} w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-i |
4.4.16225.1 |
$4$ |
$16225$ |
$[25, 5, -\frac{1}{3} w^3 + \frac{1}{3} w^2 + \frac{7}{3} w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-j |
4.4.16225.1 |
$4$ |
$16225$ |
$[25, 5, -\frac{1}{3} w^3 + \frac{1}{3} w^2 + \frac{7}{3} w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$24$ |
|
✓ |
| 29.1-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[29, 29, -\frac{1}{6} w^3 + \frac{1}{6} w^2 + \frac{13}{6} w]$ |
$29$ |
$[2, 2, 2, 2]$ |
$25$ |
|
|
| 29.1-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[29, 29, -\frac{1}{6} w^3 + \frac{1}{6} w^2 + \frac{13}{6} w]$ |
$29$ |
$[2, 2, 2, 2]$ |
$25$ |
|
|
| 29.2-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[29,29,-w + 1]$ |
$29$ |
$[2, 2, 2, 2]$ |
$25$ |
|
|
| 29.2-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[29,29,-w + 1]$ |
$29$ |
$[2, 2, 2, 2]$ |
$25$ |
|
|
| 31.1-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[31, 31, \frac{1}{3} w^3 - \frac{1}{3} w^2 - \frac{10}{3} w + 3]$ |
$31$ |
$[2, 2, 2, 2]$ |
$29$ |
|
|
| 31.1-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[31, 31, \frac{1}{3} w^3 - \frac{1}{3} w^2 - \frac{10}{3} w + 3]$ |
$31$ |
$[2, 2, 2, 2]$ |
$29$ |
|
|
| 31.2-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[31,31,\frac{1}{6} w^3 - \frac{1}{6} w^2 - \frac{1}{6} w + 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$29$ |
|
|
| 31.2-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[31,31,\frac{1}{6} w^3 - \frac{1}{6} w^2 - \frac{1}{6} w + 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$29$ |
|
|
| 36.1-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[36, 6, -w]$ |
$36$ |
$[2, 2, 2, 2]$ |
$11$ |
|
|
| 36.1-b |
4.4.16225.1 |
$4$ |
$16225$ |
$[36, 6, -w]$ |
$36$ |
$[2, 2, 2, 2]$ |
$11$ |
|
|
| 36.1-c |
4.4.16225.1 |
$4$ |
$16225$ |
$[36, 6, -w]$ |
$36$ |
$[2, 2, 2, 2]$ |
$15$ |
|
|
| 36.1-d |
4.4.16225.1 |
$4$ |
$16225$ |
$[36, 6, -w]$ |
$36$ |
$[2, 2, 2, 2]$ |
$15$ |
|
|
| 36.2-a |
4.4.16225.1 |
$4$ |
$16225$ |
$[36,6,-w^2 + w + 4]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
