| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 4.1-a |
5.5.170701.1 |
$5$ |
$170701$ |
$[4, 2, -w^{4} + w^{3} + 6w^{2} - w - 3]$ |
$4$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 4.1-b |
5.5.170701.1 |
$5$ |
$170701$ |
$[4, 2, -w^{4} + w^{3} + 6w^{2} - w - 3]$ |
$4$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 4.1-c |
5.5.170701.1 |
$5$ |
$170701$ |
$[4, 2, -w^{4} + w^{3} + 6w^{2} - w - 3]$ |
$4$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 4.1-d |
5.5.170701.1 |
$5$ |
$170701$ |
$[4, 2, -w^{4} + w^{3} + 6w^{2} - w - 3]$ |
$4$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 4.1-e |
5.5.170701.1 |
$5$ |
$170701$ |
$[4, 2, -w^{4} + w^{3} + 6w^{2} - w - 3]$ |
$4$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 7.1-a |
5.5.170701.1 |
$5$ |
$170701$ |
$[7, 7, w^{4} - w^{3} - 6w^{2} + w + 2]$ |
$7$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 7.1-b |
5.5.170701.1 |
$5$ |
$170701$ |
$[7, 7, w^{4} - w^{3} - 6w^{2} + w + 2]$ |
$7$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 7.1-c |
5.5.170701.1 |
$5$ |
$170701$ |
$[7, 7, w^{4} - w^{3} - 6w^{2} + w + 2]$ |
$7$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 7.1-d |
5.5.170701.1 |
$5$ |
$170701$ |
$[7, 7, w^{4} - w^{3} - 6w^{2} + w + 2]$ |
$7$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
| 8.1-a |
5.5.170701.1 |
$5$ |
$170701$ |
$[8, 2, -2w^{4} + 3w^{3} + 10w^{2} - 5w - 3]$ |
$8$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 8.1-b |
5.5.170701.1 |
$5$ |
$170701$ |
$[8, 2, -2w^{4} + 3w^{3} + 10w^{2} - 5w - 3]$ |
$8$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 8.1-c |
5.5.170701.1 |
$5$ |
$170701$ |
$[8, 2, -2w^{4} + 3w^{3} + 10w^{2} - 5w - 3]$ |
$8$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 8.1-d |
5.5.170701.1 |
$5$ |
$170701$ |
$[8, 2, -2w^{4} + 3w^{3} + 10w^{2} - 5w - 3]$ |
$8$ |
$[2, 2, 2, 2, 2]$ |
$8$ |
|
|
| 11.1-a |
5.5.170701.1 |
$5$ |
$170701$ |
$[11, 11, w^{4} - w^{3} - 6w^{2} + 2]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 11.1-b |
5.5.170701.1 |
$5$ |
$170701$ |
$[11, 11, w^{4} - w^{3} - 6w^{2} + 2]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 11.1-c |
5.5.170701.1 |
$5$ |
$170701$ |
$[11, 11, w^{4} - w^{3} - 6w^{2} + 2]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
| 11.1-d |
5.5.170701.1 |
$5$ |
$170701$ |
$[11, 11, w^{4} - w^{3} - 6w^{2} + 2]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$13$ |
|
|
| 13.1-a |
5.5.170701.1 |
$5$ |
$170701$ |
$[13, 13, -w^{4} + 2w^{3} + 5w^{2} - 5w - 3]$ |
$13$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 13.1-b |
5.5.170701.1 |
$5$ |
$170701$ |
$[13, 13, -w^{4} + 2w^{3} + 5w^{2} - 5w - 3]$ |
$13$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
| 13.1-c |
5.5.170701.1 |
$5$ |
$170701$ |
$[13, 13, -w^{4} + 2w^{3} + 5w^{2} - 5w - 3]$ |
$13$ |
$[2, 2, 2, 2, 2]$ |
$12$ |
|
|
| 16.1-a |
5.5.170701.1 |
$5$ |
$170701$ |
$[16, 4, -2w^{4} + 3w^{3} + 10w^{2} - 4w - 3]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 16.1-b |
5.5.170701.1 |
$5$ |
$170701$ |
$[16, 4, -2w^{4} + 3w^{3} + 10w^{2} - 4w - 3]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$9$ |
|
|
| 16.1-c |
5.5.170701.1 |
$5$ |
$170701$ |
$[16, 4, -2w^{4} + 3w^{3} + 10w^{2} - 4w - 3]$ |
$16$ |
$[2, 2, 2, 2, 2]$ |
$10$ |
|
|
| 23.1-a |
5.5.170701.1 |
$5$ |
$170701$ |
$[23, 23, -w^{2} + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 23.1-b |
5.5.170701.1 |
$5$ |
$170701$ |
$[23, 23, -w^{2} + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 23.1-c |
5.5.170701.1 |
$5$ |
$170701$ |
$[23, 23, -w^{2} + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$14$ |
|
|
| 23.1-d |
5.5.170701.1 |
$5$ |
$170701$ |
$[23, 23, -w^{2} + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$25$ |
|
|
| 23.2-a |
5.5.170701.1 |
$5$ |
$170701$ |
$[23, 23, -w + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 23.2-b |
5.5.170701.1 |
$5$ |
$170701$ |
$[23, 23, -w + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 23.2-c |
5.5.170701.1 |
$5$ |
$170701$ |
$[23, 23, -w + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 23.2-d |
5.5.170701.1 |
$5$ |
$170701$ |
$[23, 23, -w + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$6$ |
|
|
| 23.2-e |
5.5.170701.1 |
$5$ |
$170701$ |
$[23, 23, -w + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$9$ |
|
|
| 23.2-f |
5.5.170701.1 |
$5$ |
$170701$ |
$[23, 23, -w + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$22$ |
|
|
| 28.1-a |
5.5.170701.1 |
$5$ |
$170701$ |
$[28, 14, w^{4} - 2w^{3} - 5w^{2} + 4w + 3]$ |
$28$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 28.1-b |
5.5.170701.1 |
$5$ |
$170701$ |
$[28, 14, w^{4} - 2w^{3} - 5w^{2} + 4w + 3]$ |
$28$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
| 28.1-c |
5.5.170701.1 |
$5$ |
$170701$ |
$[28, 14, w^{4} - 2w^{3} - 5w^{2} + 4w + 3]$ |
$28$ |
$[2, 2, 2, 2, 2]$ |
$7$ |
|
|
| 28.1-d |
5.5.170701.1 |
$5$ |
$170701$ |
$[28, 14, w^{4} - 2w^{3} - 5w^{2} + 4w + 3]$ |
$28$ |
$[2, 2, 2, 2, 2]$ |
$7$ |
|
|
| 28.1-e |
5.5.170701.1 |
$5$ |
$170701$ |
$[28, 14, w^{4} - 2w^{3} - 5w^{2} + 4w + 3]$ |
$28$ |
$[2, 2, 2, 2, 2]$ |
$9$ |
|
|
| 31.1-a |
5.5.170701.1 |
$5$ |
$170701$ |
$[31, 31, -w^{4} + 2w^{3} + 5w^{2} - 6w - 4]$ |
$31$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 31.1-b |
5.5.170701.1 |
$5$ |
$170701$ |
$[31, 31, -w^{4} + 2w^{3} + 5w^{2} - 6w - 4]$ |
$31$ |
$[2, 2, 2, 2, 2]$ |
$21$ |
|
|
| 31.1-c |
5.5.170701.1 |
$5$ |
$170701$ |
$[31, 31, -w^{4} + 2w^{3} + 5w^{2} - 6w - 4]$ |
$31$ |
$[2, 2, 2, 2, 2]$ |
$29$ |
|
|
| 32.1-a |
5.5.170701.1 |
$5$ |
$170701$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-b |
5.5.170701.1 |
$5$ |
$170701$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-c |
5.5.170701.1 |
$5$ |
$170701$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-d |
5.5.170701.1 |
$5$ |
$170701$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-e |
5.5.170701.1 |
$5$ |
$170701$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-f |
5.5.170701.1 |
$5$ |
$170701$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-g |
5.5.170701.1 |
$5$ |
$170701$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-h |
5.5.170701.1 |
$5$ |
$170701$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 32.1-i |
5.5.170701.1 |
$5$ |
$170701$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
