Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
1.1-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
16.1-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
20.1-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[20, 10, -w^{2} - w + 5]$ |
$20$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
20.1-b |
4.4.4400.1 |
$4$ |
$4400$ |
$[20, 10, -w^{2} - w + 5]$ |
$20$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
20.2-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[20,10,-w^{2} + w + 5]$ |
$20$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
20.2-b |
4.4.4400.1 |
$4$ |
$4400$ |
$[20,10,-w^{2} + w + 5]$ |
$20$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
25.1-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[25,5,-2w^{2} - w + 8]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
25.1-b |
4.4.4400.1 |
$4$ |
$4400$ |
$[25,5,-2w^{2} - w + 8]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
25.2-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[25, 5, -2w^{2} + w + 8]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
25.2-b |
4.4.4400.1 |
$4$ |
$4400$ |
$[25, 5, -2w^{2} + w + 8]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
25.3-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[25, 5, -2w^{2} + 7]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
25.3-b |
4.4.4400.1 |
$4$ |
$4400$ |
$[25, 5, -2w^{2} + 7]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
25.3-c |
4.4.4400.1 |
$4$ |
$4400$ |
$[25, 5, -2w^{2} + 7]$ |
$25$ |
$[2, 2, 2, 2]$ |
$3$ |
|
✓ |
25.3-d |
4.4.4400.1 |
$4$ |
$4400$ |
$[25, 5, -2w^{2} + 7]$ |
$25$ |
$[2, 2, 2, 2]$ |
$3$ |
|
✓ |
29.1-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[29, 29, w^{3} - 2w^{2} - 3w + 7]$ |
$29$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
29.2-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[29,29,-w^{3} - 2w^{2} + 3w + 7]$ |
$29$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
31.1-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[31, 31, -w^{3} + w^{2} + 4w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-b |
4.4.4400.1 |
$4$ |
$4400$ |
$[31, 31, -w^{3} + w^{2} + 4w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-c |
4.4.4400.1 |
$4$ |
$4400$ |
$[31, 31, -w^{3} + w^{2} + 4w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-d |
4.4.4400.1 |
$4$ |
$4400$ |
$[31, 31, -w^{3} + w^{2} + 4w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-e |
4.4.4400.1 |
$4$ |
$4400$ |
$[31, 31, -w^{3} + w^{2} + 4w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-f |
4.4.4400.1 |
$4$ |
$4400$ |
$[31, 31, -w^{3} + w^{2} + 4w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.2-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[31,31,w^{3} + w^{2} - 4w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.2-b |
4.4.4400.1 |
$4$ |
$4400$ |
$[31,31,w^{3} + w^{2} - 4w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.2-c |
4.4.4400.1 |
$4$ |
$4400$ |
$[31,31,w^{3} + w^{2} - 4w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.2-d |
4.4.4400.1 |
$4$ |
$4400$ |
$[31,31,w^{3} + w^{2} - 4w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.2-e |
4.4.4400.1 |
$4$ |
$4400$ |
$[31,31,w^{3} + w^{2} - 4w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.2-f |
4.4.4400.1 |
$4$ |
$4400$ |
$[31,31,w^{3} + w^{2} - 4w - 2]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
41.1-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[41, 41, w^{3} + 2w^{2} - 4w - 6]$ |
$41$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
41.1-b |
4.4.4400.1 |
$4$ |
$4400$ |
$[41, 41, w^{3} + 2w^{2} - 4w - 6]$ |
$41$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
41.2-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[41,41,-w^{3} + 2w^{2} + 4w - 6]$ |
$41$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
41.2-b |
4.4.4400.1 |
$4$ |
$4400$ |
$[41,41,-w^{3} + 2w^{2} + 4w - 6]$ |
$41$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
44.1-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[44, 22, w^{3} + w^{2} - 3w]$ |
$44$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
44.1-b |
4.4.4400.1 |
$4$ |
$4400$ |
$[44, 22, w^{3} + w^{2} - 3w]$ |
$44$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
49.1-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[49, 7, -w^{3} + w^{2} + 4w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
49.1-b |
4.4.4400.1 |
$4$ |
$4400$ |
$[49, 7, -w^{3} + w^{2} + 4w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
49.1-c |
4.4.4400.1 |
$4$ |
$4400$ |
$[49, 7, -w^{3} + w^{2} + 4w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
49.1-d |
4.4.4400.1 |
$4$ |
$4400$ |
$[49, 7, -w^{3} + w^{2} + 4w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
49.2-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[49,7,w^{3} + w^{2} - 4w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
49.2-b |
4.4.4400.1 |
$4$ |
$4400$ |
$[49,7,w^{3} + w^{2} - 4w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
49.2-c |
4.4.4400.1 |
$4$ |
$4400$ |
$[49,7,w^{3} + w^{2} - 4w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
49.2-d |
4.4.4400.1 |
$4$ |
$4400$ |
$[49,7,w^{3} + w^{2} - 4w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
55.1-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[55, 55, -w^{3} - 3w^{2} + 4w + 11]$ |
$55$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
55.1-b |
4.4.4400.1 |
$4$ |
$4400$ |
$[55, 55, -w^{3} - 3w^{2} + 4w + 11]$ |
$55$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
55.1-c |
4.4.4400.1 |
$4$ |
$4400$ |
$[55, 55, -w^{3} - 3w^{2} + 4w + 11]$ |
$55$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
55.1-d |
4.4.4400.1 |
$4$ |
$4400$ |
$[55, 55, -w^{3} - 3w^{2} + 4w + 11]$ |
$55$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
55.2-a |
4.4.4400.1 |
$4$ |
$4400$ |
$[55,55,w^{3} - 3w^{2} - 4w + 11]$ |
$55$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
55.2-b |
4.4.4400.1 |
$4$ |
$4400$ |
$[55,55,w^{3} - 3w^{2} - 4w + 11]$ |
$55$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
55.2-c |
4.4.4400.1 |
$4$ |
$4400$ |
$[55,55,w^{3} - 3w^{2} - 4w + 11]$ |
$55$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
55.2-d |
4.4.4400.1 |
$4$ |
$4400$ |
$[55,55,w^{3} - 3w^{2} - 4w + 11]$ |
$55$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|