Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
7.1-a |
5.5.70601.1 |
$5$ |
$70601$ |
$[7, 7, w^{4} - 6w^{2} - 2w + 4]$ |
$7$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
7.1-b |
5.5.70601.1 |
$5$ |
$70601$ |
$[7, 7, w^{4} - 6w^{2} - 2w + 4]$ |
$7$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
9.1-a |
5.5.70601.1 |
$5$ |
$70601$ |
$[9, 3, -w^{4} + w^{3} + 5w^{2} - w - 4]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
9.1-b |
5.5.70601.1 |
$5$ |
$70601$ |
$[9, 3, -w^{4} + w^{3} + 5w^{2} - w - 4]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
9.1-c |
5.5.70601.1 |
$5$ |
$70601$ |
$[9, 3, -w^{4} + w^{3} + 5w^{2} - w - 4]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
11.1-a |
5.5.70601.1 |
$5$ |
$70601$ |
$[11, 11, -2w^{4} + w^{3} + 10w^{2} + w - 3]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
11.1-b |
5.5.70601.1 |
$5$ |
$70601$ |
$[11, 11, -2w^{4} + w^{3} + 10w^{2} + w - 3]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
11.2-a |
5.5.70601.1 |
$5$ |
$70601$ |
$[11, 11, w^{4} - 6w^{2} - 3w + 3]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
11.2-b |
5.5.70601.1 |
$5$ |
$70601$ |
$[11, 11, w^{4} - 6w^{2} - 3w + 3]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
11.2-c |
5.5.70601.1 |
$5$ |
$70601$ |
$[11, 11, w^{4} - 6w^{2} - 3w + 3]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
11.2-d |
5.5.70601.1 |
$5$ |
$70601$ |
$[11, 11, w^{4} - 6w^{2} - 3w + 3]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
17.1-a |
5.5.70601.1 |
$5$ |
$70601$ |
$[17, 17, w^{2} - 2]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
17.1-b |
5.5.70601.1 |
$5$ |
$70601$ |
$[17, 17, w^{2} - 2]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$6$ |
|
|
23.1-a |
5.5.70601.1 |
$5$ |
$70601$ |
$[23, 23, -w^{3} + w^{2} + 3w]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
23.1-b |
5.5.70601.1 |
$5$ |
$70601$ |
$[23, 23, -w^{3} + w^{2} + 3w]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
23.1-c |
5.5.70601.1 |
$5$ |
$70601$ |
$[23, 23, -w^{3} + w^{2} + 3w]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$7$ |
|
|
27.1-a |
5.5.70601.1 |
$5$ |
$70601$ |
$[27, 3, w^{4} - w^{3} - 4w^{2} + 2w - 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
27.1-b |
5.5.70601.1 |
$5$ |
$70601$ |
$[27, 3, w^{4} - w^{3} - 4w^{2} + 2w - 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
27.1-c |
5.5.70601.1 |
$5$ |
$70601$ |
$[27, 3, w^{4} - w^{3} - 4w^{2} + 2w - 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$6$ |
|
|
29.1-a |
5.5.70601.1 |
$5$ |
$70601$ |
$[29, 29, 2w^{4} - 2w^{3} - 9w^{2} + 2w + 3]$ |
$29$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.1-b |
5.5.70601.1 |
$5$ |
$70601$ |
$[29, 29, 2w^{4} - 2w^{3} - 9w^{2} + 2w + 3]$ |
$29$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
29.1-c |
5.5.70601.1 |
$5$ |
$70601$ |
$[29, 29, 2w^{4} - 2w^{3} - 9w^{2} + 2w + 3]$ |
$29$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
29.1-d |
5.5.70601.1 |
$5$ |
$70601$ |
$[29, 29, 2w^{4} - 2w^{3} - 9w^{2} + 2w + 3]$ |
$29$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
32.1-a |
5.5.70601.1 |
$5$ |
$70601$ |
$[32, 2, -2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-b |
5.5.70601.1 |
$5$ |
$70601$ |
$[32, 2, -2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-c |
5.5.70601.1 |
$5$ |
$70601$ |
$[32, 2, -2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-d |
5.5.70601.1 |
$5$ |
$70601$ |
$[32, 2, -2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
32.1-e |
5.5.70601.1 |
$5$ |
$70601$ |
$[32, 2, -2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$10$ |
|
|
47.1-a |
5.5.70601.1 |
$5$ |
$70601$ |
$[47, 47, w^{4} - 2w^{3} - 3w^{2} + 5w]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
47.1-b |
5.5.70601.1 |
$5$ |
$70601$ |
$[47, 47, w^{4} - 2w^{3} - 3w^{2} + 5w]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
47.1-c |
5.5.70601.1 |
$5$ |
$70601$ |
$[47, 47, w^{4} - 2w^{3} - 3w^{2} + 5w]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
47.1-d |
5.5.70601.1 |
$5$ |
$70601$ |
$[47, 47, w^{4} - 2w^{3} - 3w^{2} + 5w]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$6$ |
|
|
47.1-e |
5.5.70601.1 |
$5$ |
$70601$ |
$[47, 47, w^{4} - 2w^{3} - 3w^{2} + 5w]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$11$ |
|
|
47.2-a |
5.5.70601.1 |
$5$ |
$70601$ |
$[47, 47, w^{3} - w^{2} - 4w - 1]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
47.2-b |
5.5.70601.1 |
$5$ |
$70601$ |
$[47, 47, w^{3} - w^{2} - 4w - 1]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
47.2-c |
5.5.70601.1 |
$5$ |
$70601$ |
$[47, 47, w^{3} - w^{2} - 4w - 1]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
47.2-d |
5.5.70601.1 |
$5$ |
$70601$ |
$[47, 47, w^{3} - w^{2} - 4w - 1]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
47.2-e |
5.5.70601.1 |
$5$ |
$70601$ |
$[47, 47, w^{3} - w^{2} - 4w - 1]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
47.2-f |
5.5.70601.1 |
$5$ |
$70601$ |
$[47, 47, w^{3} - w^{2} - 4w - 1]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
47.2-g |
5.5.70601.1 |
$5$ |
$70601$ |
$[47, 47, w^{3} - w^{2} - 4w - 1]$ |
$47$ |
$[2, 2, 2, 2, 2]$ |
$9$ |
|
|
49.1-a |
5.5.70601.1 |
$5$ |
$70601$ |
$[49, 49, w^{4} - w^{3} - 5w^{2} + 3w + 2]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
49.1-b |
5.5.70601.1 |
$5$ |
$70601$ |
$[49, 49, w^{4} - w^{3} - 5w^{2} + 3w + 2]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
49.1-c |
5.5.70601.1 |
$5$ |
$70601$ |
$[49, 49, w^{4} - w^{3} - 5w^{2} + 3w + 2]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
49.1-d |
5.5.70601.1 |
$5$ |
$70601$ |
$[49, 49, w^{4} - w^{3} - 5w^{2} + 3w + 2]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
49.1-e |
5.5.70601.1 |
$5$ |
$70601$ |
$[49, 49, w^{4} - w^{3} - 5w^{2} + 3w + 2]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
49.1-f |
5.5.70601.1 |
$5$ |
$70601$ |
$[49, 49, w^{4} - w^{3} - 5w^{2} + 3w + 2]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
49.1-g |
5.5.70601.1 |
$5$ |
$70601$ |
$[49, 49, w^{4} - w^{3} - 5w^{2} + 3w + 2]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
49.1-h |
5.5.70601.1 |
$5$ |
$70601$ |
$[49, 49, w^{4} - w^{3} - 5w^{2} + 3w + 2]$ |
$49$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
53.1-a |
5.5.70601.1 |
$5$ |
$70601$ |
$[53, 53, -w^{4} + 7w^{2} - 3]$ |
$53$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
53.1-b |
5.5.70601.1 |
$5$ |
$70601$ |
$[53, 53, -w^{4} + 7w^{2} - 3]$ |
$53$ |
$[2, 2, 2, 2, 2]$ |
$7$ |
|
|