Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
3.1-a |
5.5.160801.1 |
$5$ |
$160801$ |
$[3, 3, w^{4} - w^{3} - 5w^{2} + 3w + 3]$ |
$3$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
3.1-b |
5.5.160801.1 |
$5$ |
$160801$ |
$[3, 3, w^{4} - w^{3} - 5w^{2} + 3w + 3]$ |
$3$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
9.1-a |
5.5.160801.1 |
$5$ |
$160801$ |
$[9, 3, -w^{4} + 5w^{2} - 3]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
9.1-b |
5.5.160801.1 |
$5$ |
$160801$ |
$[9, 3, -w^{4} + 5w^{2} - 3]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
9.1-c |
5.5.160801.1 |
$5$ |
$160801$ |
$[9, 3, -w^{4} + 5w^{2} - 3]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
9.1-d |
5.5.160801.1 |
$5$ |
$160801$ |
$[9, 3, -w^{4} + 5w^{2} - 3]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
9.1-e |
5.5.160801.1 |
$5$ |
$160801$ |
$[9, 3, -w^{4} + 5w^{2} - 3]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
9.1-f |
5.5.160801.1 |
$5$ |
$160801$ |
$[9, 3, -w^{4} + 5w^{2} - 3]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
9.2-a |
5.5.160801.1 |
$5$ |
$160801$ |
$[9, 3, -w^{4} + w^{3} + 5w^{2} - 3w - 2]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
9.2-b |
5.5.160801.1 |
$5$ |
$160801$ |
$[9, 3, -w^{4} + w^{3} + 5w^{2} - 3w - 2]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
9.2-c |
5.5.160801.1 |
$5$ |
$160801$ |
$[9, 3, -w^{4} + w^{3} + 5w^{2} - 3w - 2]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
9.2-d |
5.5.160801.1 |
$5$ |
$160801$ |
$[9, 3, -w^{4} + w^{3} + 5w^{2} - 3w - 2]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$7$ |
|
|
9.3-a |
5.5.160801.1 |
$5$ |
$160801$ |
$[9, 9, w^{2} - w - 2]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
9.3-b |
5.5.160801.1 |
$5$ |
$160801$ |
$[9, 9, w^{2} - w - 2]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
9.3-c |
5.5.160801.1 |
$5$ |
$160801$ |
$[9, 9, w^{2} - w - 2]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
9.3-d |
5.5.160801.1 |
$5$ |
$160801$ |
$[9, 9, w^{2} - w - 2]$ |
$9$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
13.1-a |
5.5.160801.1 |
$5$ |
$160801$ |
$[13, 13, -w^{4} + w^{3} + 4w^{2} - 3w - 1]$ |
$13$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
13.1-b |
5.5.160801.1 |
$5$ |
$160801$ |
$[13, 13, -w^{4} + w^{3} + 4w^{2} - 3w - 1]$ |
$13$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
13.1-c |
5.5.160801.1 |
$5$ |
$160801$ |
$[13, 13, -w^{4} + w^{3} + 4w^{2} - 3w - 1]$ |
$13$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
13.1-d |
5.5.160801.1 |
$5$ |
$160801$ |
$[13, 13, -w^{4} + w^{3} + 4w^{2} - 3w - 1]$ |
$13$ |
$[2, 2, 2, 2, 2]$ |
$12$ |
|
|
17.1-a |
5.5.160801.1 |
$5$ |
$160801$ |
$[17, 17, w^{4} - w^{3} - 5w^{2} + 3w + 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
17.1-b |
5.5.160801.1 |
$5$ |
$160801$ |
$[17, 17, w^{4} - w^{3} - 5w^{2} + 3w + 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$12$ |
|
|
17.1-c |
5.5.160801.1 |
$5$ |
$160801$ |
$[17, 17, w^{4} - w^{3} - 5w^{2} + 3w + 1]$ |
$17$ |
$[2, 2, 2, 2, 2]$ |
$14$ |
|
|
19.1-a |
5.5.160801.1 |
$5$ |
$160801$ |
$[19, 19, -w^{3} + w^{2} + 4w - 2]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$11$ |
|
|
19.1-b |
5.5.160801.1 |
$5$ |
$160801$ |
$[19, 19, -w^{3} + w^{2} + 4w - 2]$ |
$19$ |
$[2, 2, 2, 2, 2]$ |
$19$ |
|
|
23.1-a |
5.5.160801.1 |
$5$ |
$160801$ |
$[23, 23, -w^{2} + 3]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
23.1-b |
5.5.160801.1 |
$5$ |
$160801$ |
$[23, 23, -w^{2} + 3]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$14$ |
|
|
23.1-c |
5.5.160801.1 |
$5$ |
$160801$ |
$[23, 23, -w^{2} + 3]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$24$ |
|
|
27.1-a |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 3, -w^{4} + w^{3} + 4w^{2} - 2w - 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.1-b |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 3, -w^{4} + w^{3} + 4w^{2} - 2w - 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
27.1-c |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 3, -w^{4} + w^{3} + 4w^{2} - 2w - 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
27.1-d |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 3, -w^{4} + w^{3} + 4w^{2} - 2w - 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$7$ |
|
|
27.1-e |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 3, -w^{4} + w^{3} + 4w^{2} - 2w - 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$9$ |
|
|
27.2-a |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 3, -w^{3} + w^{2} + 3w - 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.2-b |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 3, -w^{3} + w^{2} + 3w - 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
27.2-c |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 3, -w^{3} + w^{2} + 3w - 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
27.2-d |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 3, -w^{3} + w^{2} + 3w - 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
27.2-e |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 3, -w^{3} + w^{2} + 3w - 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
27.2-f |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 3, -w^{3} + w^{2} + 3w - 2]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$9$ |
|
|
27.3-a |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 27, w^{4} - w^{3} - 5w^{2} + 4w + 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.3-b |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 27, w^{4} - w^{3} - 5w^{2} + 4w + 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.3-c |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 27, w^{4} - w^{3} - 5w^{2} + 4w + 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.3-d |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 27, w^{4} - w^{3} - 5w^{2} + 4w + 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.3-e |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 27, w^{4} - w^{3} - 5w^{2} + 4w + 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.3-f |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 27, w^{4} - w^{3} - 5w^{2} + 4w + 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
27.3-g |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 27, w^{4} - w^{3} - 5w^{2} + 4w + 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
27.3-h |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 27, w^{4} - w^{3} - 5w^{2} + 4w + 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
27.3-i |
5.5.160801.1 |
$5$ |
$160801$ |
$[27, 27, w^{4} - w^{3} - 5w^{2} + 4w + 1]$ |
$27$ |
$[2, 2, 2, 2, 2]$ |
$8$ |
|
|
31.1-a |
5.5.160801.1 |
$5$ |
$160801$ |
$[31, 31, w^{3} - 4w + 2]$ |
$31$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
31.1-b |
5.5.160801.1 |
$5$ |
$160801$ |
$[31, 31, w^{3} - 4w + 2]$ |
$31$ |
$[2, 2, 2, 2, 2]$ |
$21$ |
|
|