Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
3.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[3, 3, -w^{4} + w^{3} + 4w^{2} - 2w - 2]$ |
$3$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
3.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[3, 3, -w^{4} + w^{3} + 4w^{2} - 2w - 2]$ |
$3$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
5.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[5, 5, w^{2} - w - 2]$ |
$5$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
5.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[5, 5, w^{2} - w - 2]$ |
$5$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
9.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[9, 9, w^{4} - 2w^{3} - 4w^{2} + 5w + 3]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
9.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[9, 9, w^{4} - 2w^{3} - 4w^{2} + 5w + 3]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
15.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[15, 15, w^{4} - w^{3} - 5w^{2} + 2w + 3]$ |
$15$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
15.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[15, 15, w^{4} - w^{3} - 5w^{2} + 2w + 3]$ |
$15$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
19.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[19, 19, w^{4} - 2w^{3} - 4w^{2} + 5w + 4]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
19.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[19, 19, w^{4} - 2w^{3} - 4w^{2} + 5w + 4]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$7$ |
|
|
23.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[23, 23, -w^{3} + w^{2} + 3w - 1]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
23.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[23, 23, -w^{3} + w^{2} + 3w - 1]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$9$ |
|
|
25.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[25, 25, -w^{3} + w^{2} + 3w - 2]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
25.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[25, 25, -w^{3} + w^{2} + 3w - 2]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
25.1-c |
5.5.65657.1 |
$5$ |
$65657$ |
$[25, 25, -w^{3} + w^{2} + 3w - 2]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
25.1-d |
5.5.65657.1 |
$5$ |
$65657$ |
$[25, 25, -w^{3} + w^{2} + 3w - 2]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
25.1-e |
5.5.65657.1 |
$5$ |
$65657$ |
$[25, 25, -w^{3} + w^{2} + 3w - 2]$ |
$25$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
27.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[27, 27, -w^{4} + w^{3} + 5w^{2} - 3w - 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[27, 27, -w^{4} + w^{3} + 5w^{2} - 3w - 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-c |
5.5.65657.1 |
$5$ |
$65657$ |
$[27, 27, -w^{4} + w^{3} + 5w^{2} - 3w - 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-d |
5.5.65657.1 |
$5$ |
$65657$ |
$[27, 27, -w^{4} + w^{3} + 5w^{2} - 3w - 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-e |
5.5.65657.1 |
$5$ |
$65657$ |
$[27, 27, -w^{4} + w^{3} + 5w^{2} - 3w - 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-f |
5.5.65657.1 |
$5$ |
$65657$ |
$[27, 27, -w^{4} + w^{3} + 5w^{2} - 3w - 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[29, 29, 2w^{4} - 3w^{3} - 8w^{2} + 7w + 4]$ |
$29$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[29, 29, 2w^{4} - 3w^{3} - 8w^{2} + 7w + 4]$ |
$29$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
29.1-c |
5.5.65657.1 |
$5$ |
$65657$ |
$[29, 29, 2w^{4} - 3w^{3} - 8w^{2} + 7w + 4]$ |
$29$ |
$[2, 2, 2, 2, 2]$ |
$8$ |
|
|
32.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
32.1-c |
5.5.65657.1 |
$5$ |
$65657$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$9$ |
|
|
37.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[37, 37, w^{3} - 2w^{2} - 2w + 2]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
37.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[37, 37, w^{3} - 2w^{2} - 2w + 2]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
37.1-c |
5.5.65657.1 |
$5$ |
$65657$ |
$[37, 37, w^{3} - 2w^{2} - 2w + 2]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
37.1-d |
5.5.65657.1 |
$5$ |
$65657$ |
$[37, 37, w^{3} - 2w^{2} - 2w + 2]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$9$ |
|
|
41.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[41, 41, -2w^{4} + 3w^{3} + 9w^{2} - 8w - 6]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
41.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[41, 41, -2w^{4} + 3w^{3} + 9w^{2} - 8w - 6]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$7$ |
|
|
41.1-c |
5.5.65657.1 |
$5$ |
$65657$ |
$[41, 41, -2w^{4} + 3w^{3} + 9w^{2} - 8w - 6]$ |
$41$ |
$[2, 2, 2, 2, 2]$ |
$7$ |
|
|
43.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[43, 43, -2w^{4} + 3w^{3} + 8w^{2} - 8w - 6]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
43.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[43, 43, -2w^{4} + 3w^{3} + 8w^{2} - 8w - 6]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
43.1-c |
5.5.65657.1 |
$5$ |
$65657$ |
$[43, 43, -2w^{4} + 3w^{3} + 8w^{2} - 8w - 6]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
43.1-d |
5.5.65657.1 |
$5$ |
$65657$ |
$[43, 43, -2w^{4} + 3w^{3} + 8w^{2} - 8w - 6]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$13$ |
|
|
45.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[45, 45, -w^{3} + 4w]$ |
$45$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
45.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[45, 45, -w^{3} + 4w]$ |
$45$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
45.1-c |
5.5.65657.1 |
$5$ |
$65657$ |
$[45, 45, -w^{3} + 4w]$ |
$45$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
45.1-d |
5.5.65657.1 |
$5$ |
$65657$ |
$[45, 45, -w^{3} + 4w]$ |
$45$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
45.1-e |
5.5.65657.1 |
$5$ |
$65657$ |
$[45, 45, -w^{3} + 4w]$ |
$45$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
45.1-f |
5.5.65657.1 |
$5$ |
$65657$ |
$[45, 45, -w^{3} + 4w]$ |
$45$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
47.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[47, 47, w^{4} - 2w^{3} - 5w^{2} + 6w + 5]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$7$ |
|
|
47.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[47, 47, w^{4} - 2w^{3} - 5w^{2} + 6w + 5]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$14$ |
|
|
53.1-a |
5.5.65657.1 |
$5$ |
$65657$ |
$[53, 53, -w^{4} + w^{3} + 4w^{2} - w - 4]$ |
$53$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
53.1-b |
5.5.65657.1 |
$5$ |
$65657$ |
$[53, 53, -w^{4} + w^{3} + 4w^{2} - w - 4]$ |
$53$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|