Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
1.1-a |
4.4.13888.1 |
$4$ |
$13888$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
4.1-a |
4.4.13888.1 |
$4$ |
$13888$ |
$[4, 2, -\frac{1}{3}w^{3} + \frac{2}{3}w^{2} + \frac{4}{3}w - 1]$ |
$4$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
7.1-a |
4.4.13888.1 |
$4$ |
$13888$ |
$[7, 7, \frac{1}{3}w^{3} - \frac{2}{3}w^{2} - \frac{7}{3}w + 1]$ |
$7$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
7.1-b |
4.4.13888.1 |
$4$ |
$13888$ |
$[7, 7, \frac{1}{3}w^{3} - \frac{2}{3}w^{2} - \frac{7}{3}w + 1]$ |
$7$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
7.1-c |
4.4.13888.1 |
$4$ |
$13888$ |
$[7, 7, \frac{1}{3}w^{3} - \frac{2}{3}w^{2} - \frac{7}{3}w + 1]$ |
$7$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
7.1-d |
4.4.13888.1 |
$4$ |
$13888$ |
$[7, 7, \frac{1}{3}w^{3} - \frac{2}{3}w^{2} - \frac{7}{3}w + 1]$ |
$7$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
7.2-a |
4.4.13888.1 |
$4$ |
$13888$ |
$[7, 7, w - 2]$ |
$7$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
7.2-b |
4.4.13888.1 |
$4$ |
$13888$ |
$[7, 7, w - 2]$ |
$7$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
7.2-c |
4.4.13888.1 |
$4$ |
$13888$ |
$[7, 7, w - 2]$ |
$7$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
7.2-d |
4.4.13888.1 |
$4$ |
$13888$ |
$[7, 7, w - 2]$ |
$7$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
7.3-a |
4.4.13888.1 |
$4$ |
$13888$ |
$[7,7,w - 1]$ |
$7$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
7.3-b |
4.4.13888.1 |
$4$ |
$13888$ |
$[7,7,w - 1]$ |
$7$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
7.3-c |
4.4.13888.1 |
$4$ |
$13888$ |
$[7,7,w - 1]$ |
$7$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
7.3-d |
4.4.13888.1 |
$4$ |
$13888$ |
$[7,7,w - 1]$ |
$7$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
9.1-a |
4.4.13888.1 |
$4$ |
$13888$ |
$[9, 3, w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
9.1-b |
4.4.13888.1 |
$4$ |
$13888$ |
$[9, 3, w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
9.2-a |
4.4.13888.1 |
$4$ |
$13888$ |
$[9,3,\frac{1}{3}w^{3} - \frac{2}{3}w^{2} - \frac{7}{3}w + 2]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
9.2-b |
4.4.13888.1 |
$4$ |
$13888$ |
$[9,3,\frac{1}{3}w^{3} - \frac{2}{3}w^{2} - \frac{7}{3}w + 2]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
16.1-a |
4.4.13888.1 |
$4$ |
$13888$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-b |
4.4.13888.1 |
$4$ |
$13888$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-c |
4.4.13888.1 |
$4$ |
$13888$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-d |
4.4.13888.1 |
$4$ |
$13888$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
16.1-e |
4.4.13888.1 |
$4$ |
$13888$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
16.1-f |
4.4.13888.1 |
$4$ |
$13888$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
23.1-a |
4.4.13888.1 |
$4$ |
$13888$ |
$[23, 23, -\frac{1}{3}w^{3} + \frac{2}{3}w^{2} + \frac{1}{3}w - 2]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
23.1-b |
4.4.13888.1 |
$4$ |
$13888$ |
$[23, 23, -\frac{1}{3}w^{3} + \frac{2}{3}w^{2} + \frac{1}{3}w - 2]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
23.1-c |
4.4.13888.1 |
$4$ |
$13888$ |
$[23, 23, -\frac{1}{3}w^{3} + \frac{2}{3}w^{2} + \frac{1}{3}w - 2]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
23.1-d |
4.4.13888.1 |
$4$ |
$13888$ |
$[23, 23, -\frac{1}{3}w^{3} + \frac{2}{3}w^{2} + \frac{1}{3}w - 2]$ |
$23$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
23.1-e |
4.4.13888.1 |
$4$ |
$13888$ |
$[23, 23, -\frac{1}{3}w^{3} + \frac{2}{3}w^{2} + \frac{1}{3}w - 2]$ |
$23$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
23.1-f |
4.4.13888.1 |
$4$ |
$13888$ |
$[23, 23, -\frac{1}{3}w^{3} + \frac{2}{3}w^{2} + \frac{1}{3}w - 2]$ |
$23$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
23.2-a |
4.4.13888.1 |
$4$ |
$13888$ |
$[23,23,-\frac{2}{3}w^{3} + \frac{4}{3}w^{2} + \frac{11}{3}w - 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
23.2-b |
4.4.13888.1 |
$4$ |
$13888$ |
$[23,23,-\frac{2}{3}w^{3} + \frac{4}{3}w^{2} + \frac{11}{3}w - 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
23.2-c |
4.4.13888.1 |
$4$ |
$13888$ |
$[23,23,-\frac{2}{3}w^{3} + \frac{4}{3}w^{2} + \frac{11}{3}w - 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
23.2-d |
4.4.13888.1 |
$4$ |
$13888$ |
$[23,23,-\frac{2}{3}w^{3} + \frac{4}{3}w^{2} + \frac{11}{3}w - 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
23.2-e |
4.4.13888.1 |
$4$ |
$13888$ |
$[23,23,-\frac{2}{3}w^{3} + \frac{4}{3}w^{2} + \frac{11}{3}w - 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
23.2-f |
4.4.13888.1 |
$4$ |
$13888$ |
$[23,23,-\frac{2}{3}w^{3} + \frac{4}{3}w^{2} + \frac{11}{3}w - 4]$ |
$23$ |
$[2, 2, 2, 2]$ |
$10$ |
|
|
28.1-a |
4.4.13888.1 |
$4$ |
$13888$ |
$[28, 14, w^{2} - w - 5]$ |
$28$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
28.1-b |
4.4.13888.1 |
$4$ |
$13888$ |
$[28, 14, w^{2} - w - 5]$ |
$28$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
28.1-c |
4.4.13888.1 |
$4$ |
$13888$ |
$[28, 14, w^{2} - w - 5]$ |
$28$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
28.1-d |
4.4.13888.1 |
$4$ |
$13888$ |
$[28, 14, w^{2} - w - 5]$ |
$28$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
28.1-e |
4.4.13888.1 |
$4$ |
$13888$ |
$[28, 14, w^{2} - w - 5]$ |
$28$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
28.1-f |
4.4.13888.1 |
$4$ |
$13888$ |
$[28, 14, w^{2} - w - 5]$ |
$28$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
28.1-g |
4.4.13888.1 |
$4$ |
$13888$ |
$[28, 14, w^{2} - w - 5]$ |
$28$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
28.1-h |
4.4.13888.1 |
$4$ |
$13888$ |
$[28, 14, w^{2} - w - 5]$ |
$28$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
28.1-i |
4.4.13888.1 |
$4$ |
$13888$ |
$[28, 14, w^{2} - w - 5]$ |
$28$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
28.1-j |
4.4.13888.1 |
$4$ |
$13888$ |
$[28, 14, w^{2} - w - 5]$ |
$28$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
28.2-a |
4.4.13888.1 |
$4$ |
$13888$ |
$[28, 14, \frac{2}{3}w^{3} - \frac{7}{3}w^{2} - \frac{5}{3}w + 5]$ |
$28$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
28.2-b |
4.4.13888.1 |
$4$ |
$13888$ |
$[28, 14, \frac{2}{3}w^{3} - \frac{7}{3}w^{2} - \frac{5}{3}w + 5]$ |
$28$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
28.2-c |
4.4.13888.1 |
$4$ |
$13888$ |
$[28, 14, \frac{2}{3}w^{3} - \frac{7}{3}w^{2} - \frac{5}{3}w + 5]$ |
$28$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
28.2-d |
4.4.13888.1 |
$4$ |
$13888$ |
$[28, 14, \frac{2}{3}w^{3} - \frac{7}{3}w^{2} - \frac{5}{3}w + 5]$ |
$28$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|