Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
11.1-a |
5.5.38569.1 |
$5$ |
$38569$ |
$[11, 11, -w^{3} + w^{2} + 4w - 2]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
11.1-b |
5.5.38569.1 |
$5$ |
$38569$ |
$[11, 11, -w^{3} + w^{2} + 4w - 2]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
11.2-a |
5.5.38569.1 |
$5$ |
$38569$ |
$[11, 11, w^{3} - 3w]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
11.2-b |
5.5.38569.1 |
$5$ |
$38569$ |
$[11, 11, w^{3} - 3w]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
17.1-a |
5.5.38569.1 |
$5$ |
$38569$ |
$[17, 17, w^{3} - 3w - 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
17.1-b |
5.5.38569.1 |
$5$ |
$38569$ |
$[17, 17, w^{3} - 3w - 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
17.1-c |
5.5.38569.1 |
$5$ |
$38569$ |
$[17, 17, w^{3} - 3w - 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
17.1-d |
5.5.38569.1 |
$5$ |
$38569$ |
$[17, 17, w^{3} - 3w - 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-a |
5.5.38569.1 |
$5$ |
$38569$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$6$ |
|
|
37.1-a |
5.5.38569.1 |
$5$ |
$38569$ |
$[37, 37, w^{4} + w^{3} - 5w^{2} - 5w + 4]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
37.1-b |
5.5.38569.1 |
$5$ |
$38569$ |
$[37, 37, w^{4} + w^{3} - 5w^{2} - 5w + 4]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
37.1-c |
5.5.38569.1 |
$5$ |
$38569$ |
$[37, 37, w^{4} + w^{3} - 5w^{2} - 5w + 4]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
37.1-d |
5.5.38569.1 |
$5$ |
$38569$ |
$[37, 37, w^{4} + w^{3} - 5w^{2} - 5w + 4]$ |
$37$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
43.1-a |
5.5.38569.1 |
$5$ |
$38569$ |
$[43, 43, w^{2} + w - 3]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
43.1-b |
5.5.38569.1 |
$5$ |
$38569$ |
$[43, 43, w^{2} + w - 3]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
43.2-a |
5.5.38569.1 |
$5$ |
$38569$ |
$[43, 43, -w^{4} + w^{3} + 4w^{2} - 2w - 2]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
43.2-b |
5.5.38569.1 |
$5$ |
$38569$ |
$[43, 43, -w^{4} + w^{3} + 4w^{2} - 2w - 2]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
43.2-c |
5.5.38569.1 |
$5$ |
$38569$ |
$[43, 43, -w^{4} + w^{3} + 4w^{2} - 2w - 2]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
43.2-d |
5.5.38569.1 |
$5$ |
$38569$ |
$[43, 43, -w^{4} + w^{3} + 4w^{2} - 2w - 2]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
43.2-e |
5.5.38569.1 |
$5$ |
$38569$ |
$[43, 43, -w^{4} + w^{3} + 4w^{2} - 2w - 2]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
43.2-f |
5.5.38569.1 |
$5$ |
$38569$ |
$[43, 43, -w^{4} + w^{3} + 4w^{2} - 2w - 2]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
47.1-a |
5.5.38569.1 |
$5$ |
$38569$ |
$[47, 47, -w^{4} - w^{3} + 6w^{2} + 4w - 5]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$8$ |
|
|
49.1-a |
5.5.38569.1 |
$5$ |
$38569$ |
$[49, 49, w^{4} + w^{3} - 4w^{2} - 3w]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
49.1-b |
5.5.38569.1 |
$5$ |
$38569$ |
$[49, 49, w^{4} + w^{3} - 4w^{2} - 3w]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
49.1-c |
5.5.38569.1 |
$5$ |
$38569$ |
$[49, 49, w^{4} + w^{3} - 4w^{2} - 3w]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
49.1-d |
5.5.38569.1 |
$5$ |
$38569$ |
$[49, 49, w^{4} + w^{3} - 4w^{2} - 3w]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
59.1-a |
5.5.38569.1 |
$5$ |
$38569$ |
$[59, 59, w^{4} + w^{3} - 6w^{2} - 4w + 4]$ |
$59$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
59.1-b |
5.5.38569.1 |
$5$ |
$38569$ |
$[59, 59, w^{4} + w^{3} - 6w^{2} - 4w + 4]$ |
$59$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
59.1-c |
5.5.38569.1 |
$5$ |
$38569$ |
$[59, 59, w^{4} + w^{3} - 6w^{2} - 4w + 4]$ |
$59$ |
$[2, 2, 2, 2, 2]$ |
$6$ |
|
|
67.1-a |
5.5.38569.1 |
$5$ |
$38569$ |
$[67, 67, -w^{3} + w^{2} + 3w - 4]$ |
$67$ |
$[2, 2, 2, 2, 2]$ |
$6$ |
|
|
67.1-b |
5.5.38569.1 |
$5$ |
$38569$ |
$[67, 67, -w^{3} + w^{2} + 3w - 4]$ |
$67$ |
$[2, 2, 2, 2, 2]$ |
$6$ |
|
|
73.1-a |
5.5.38569.1 |
$5$ |
$38569$ |
$[73, 73, w^{4} - 3w^{2} - w - 1]$ |
$73$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
73.1-b |
5.5.38569.1 |
$5$ |
$38569$ |
$[73, 73, w^{4} - 3w^{2} - w - 1]$ |
$73$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
73.1-c |
5.5.38569.1 |
$5$ |
$38569$ |
$[73, 73, w^{4} - 3w^{2} - w - 1]$ |
$73$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
73.1-d |
5.5.38569.1 |
$5$ |
$38569$ |
$[73, 73, w^{4} - 3w^{2} - w - 1]$ |
$73$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
73.2-a |
5.5.38569.1 |
$5$ |
$38569$ |
$[73, 73, -2w^{4} - w^{3} + 9w^{2} + 5w - 6]$ |
$73$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
73.2-b |
5.5.38569.1 |
$5$ |
$38569$ |
$[73, 73, -2w^{4} - w^{3} + 9w^{2} + 5w - 6]$ |
$73$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
73.2-c |
5.5.38569.1 |
$5$ |
$38569$ |
$[73, 73, -2w^{4} - w^{3} + 9w^{2} + 5w - 6]$ |
$73$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
73.2-d |
5.5.38569.1 |
$5$ |
$38569$ |
$[73, 73, -2w^{4} - w^{3} + 9w^{2} + 5w - 6]$ |
$73$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
73.2-e |
5.5.38569.1 |
$5$ |
$38569$ |
$[73, 73, -2w^{4} - w^{3} + 9w^{2} + 5w - 6]$ |
$73$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
73.2-f |
5.5.38569.1 |
$5$ |
$38569$ |
$[73, 73, -2w^{4} - w^{3} + 9w^{2} + 5w - 6]$ |
$73$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
77.1-a |
5.5.38569.1 |
$5$ |
$38569$ |
$[77, 77, -w^{4} - w^{3} + 4w^{2} + 4w - 3]$ |
$77$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
77.1-b |
5.5.38569.1 |
$5$ |
$38569$ |
$[77, 77, -w^{4} - w^{3} + 4w^{2} + 4w - 3]$ |
$77$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
77.1-c |
5.5.38569.1 |
$5$ |
$38569$ |
$[77, 77, -w^{4} - w^{3} + 4w^{2} + 4w - 3]$ |
$77$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
77.1-d |
5.5.38569.1 |
$5$ |
$38569$ |
$[77, 77, -w^{4} - w^{3} + 4w^{2} + 4w - 3]$ |
$77$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
77.1-e |
5.5.38569.1 |
$5$ |
$38569$ |
$[77, 77, -w^{4} - w^{3} + 4w^{2} + 4w - 3]$ |
$77$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
77.1-f |
5.5.38569.1 |
$5$ |
$38569$ |
$[77, 77, -w^{4} - w^{3} + 4w^{2} + 4w - 3]$ |
$77$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
77.1-g |
5.5.38569.1 |
$5$ |
$38569$ |
$[77, 77, -w^{4} - w^{3} + 4w^{2} + 4w - 3]$ |
$77$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
77.1-h |
5.5.38569.1 |
$5$ |
$38569$ |
$[77, 77, -w^{4} - w^{3} + 4w^{2} + 4w - 3]$ |
$77$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
77.2-a |
5.5.38569.1 |
$5$ |
$38569$ |
$[77, 77, -2w - 1]$ |
$77$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|