Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
1.1-a |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
✓ |
7.1-a |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[7, 7, -\frac{1}{4}w^{5} - \frac{1}{4}w^{4} + 2w^{3} + 2w^{2} - 3w - 3]$ |
$7$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
✓ |
7.2-a |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[7,7,\frac{1}{4}w^{5} - \frac{1}{4}w^{4} - 2w^{3} + 2w^{2} + 3w - 3]$ |
$7$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
✓ |
8.1-a |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[8, 2, -\frac{1}{4}w^{5} + 2w^{3} - 3w]$ |
$8$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
8.1-b |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[8, 2, -\frac{1}{4}w^{5} + 2w^{3} - 3w]$ |
$8$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
8.1-c |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[8, 2, -\frac{1}{4}w^{5} + 2w^{3} - 3w]$ |
$8$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
8.1-d |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[8, 2, -\frac{1}{4}w^{5} + 2w^{3} - 3w]$ |
$8$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
41.1-a |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41, 41, -\frac{1}{4}w^{4} - \frac{1}{2}w^{3} + \frac{3}{2}w^{2} + 3w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.1-b |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41, 41, -\frac{1}{4}w^{4} - \frac{1}{2}w^{3} + \frac{3}{2}w^{2} + 3w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.1-c |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41, 41, -\frac{1}{4}w^{4} - \frac{1}{2}w^{3} + \frac{3}{2}w^{2} + 3w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
41.1-d |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41, 41, -\frac{1}{4}w^{4} - \frac{1}{2}w^{3} + \frac{3}{2}w^{2} + 3w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$7$ |
|
|
41.1-e |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41, 41, -\frac{1}{4}w^{4} - \frac{1}{2}w^{3} + \frac{3}{2}w^{2} + 3w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$16$ |
|
|
41.2-a |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,\frac{1}{2}w^{2} + w - 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.2-b |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,\frac{1}{2}w^{2} + w - 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.2-c |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,\frac{1}{2}w^{2} + w - 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
41.2-d |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,\frac{1}{2}w^{2} + w - 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$7$ |
|
|
41.2-e |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,\frac{1}{2}w^{2} + w - 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$16$ |
|
|
41.3-a |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,\frac{1}{4}w^{5} + \frac{1}{4}w^{4} - \frac{5}{2}w^{3} - 2w^{2} + 5w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.3-b |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,\frac{1}{4}w^{5} + \frac{1}{4}w^{4} - \frac{5}{2}w^{3} - 2w^{2} + 5w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.3-c |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,\frac{1}{4}w^{5} + \frac{1}{4}w^{4} - \frac{5}{2}w^{3} - 2w^{2} + 5w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
41.3-d |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,\frac{1}{4}w^{5} + \frac{1}{4}w^{4} - \frac{5}{2}w^{3} - 2w^{2} + 5w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$7$ |
|
|
41.3-e |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,\frac{1}{4}w^{5} + \frac{1}{4}w^{4} - \frac{5}{2}w^{3} - 2w^{2} + 5w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$16$ |
|
|
41.4-a |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,-\frac{1}{4}w^{5} + \frac{1}{4}w^{4} + \frac{5}{2}w^{3} - 2w^{2} - 5w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.4-b |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,-\frac{1}{4}w^{5} + \frac{1}{4}w^{4} + \frac{5}{2}w^{3} - 2w^{2} - 5w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.4-c |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,-\frac{1}{4}w^{5} + \frac{1}{4}w^{4} + \frac{5}{2}w^{3} - 2w^{2} - 5w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
41.4-d |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,-\frac{1}{4}w^{5} + \frac{1}{4}w^{4} + \frac{5}{2}w^{3} - 2w^{2} - 5w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$7$ |
|
|
41.4-e |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,-\frac{1}{4}w^{5} + \frac{1}{4}w^{4} + \frac{5}{2}w^{3} - 2w^{2} - 5w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$16$ |
|
|
41.5-a |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,\frac{1}{2}w^{2} - w - 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.5-b |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,\frac{1}{2}w^{2} - w - 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.5-c |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,\frac{1}{2}w^{2} - w - 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
41.5-d |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,\frac{1}{2}w^{2} - w - 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$7$ |
|
|
41.5-e |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,\frac{1}{2}w^{2} - w - 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$16$ |
|
|
41.6-a |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,-\frac{1}{4}w^{4} + \frac{1}{2}w^{3} + \frac{3}{2}w^{2} - 3w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.6-b |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,-\frac{1}{4}w^{4} + \frac{1}{2}w^{3} + \frac{3}{2}w^{2} - 3w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
41.6-c |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,-\frac{1}{4}w^{4} + \frac{1}{2}w^{3} + \frac{3}{2}w^{2} - 3w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
41.6-d |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,-\frac{1}{4}w^{4} + \frac{1}{2}w^{3} + \frac{3}{2}w^{2} - 3w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$7$ |
|
|
41.6-e |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[41,41,-\frac{1}{4}w^{4} + \frac{1}{2}w^{3} + \frac{3}{2}w^{2} - 3w - 1]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$16$ |
|
|
49.1-a |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[49, 7, -\frac{1}{2}w^{4} + \frac{7}{2}w^{2} - 3]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
49.1-b |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[49, 7, -\frac{1}{2}w^{4} + \frac{7}{2}w^{2} - 3]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
49.1-c |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[49, 7, -\frac{1}{2}w^{4} + \frac{7}{2}w^{2} - 3]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
49.1-d |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[49, 7, -\frac{1}{2}w^{4} + \frac{7}{2}w^{2} - 3]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
49.1-e |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[49, 7, -\frac{1}{2}w^{4} + \frac{7}{2}w^{2} - 3]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
✓ |
49.1-f |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[49, 7, -\frac{1}{2}w^{4} + \frac{7}{2}w^{2} - 3]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$6$ |
|
✓ |
49.1-g |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[49, 7, -\frac{1}{2}w^{4} + \frac{7}{2}w^{2} - 3]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$6$ |
|
|
49.1-h |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[49, 7, -\frac{1}{2}w^{4} + \frac{7}{2}w^{2} - 3]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$6$ |
|
|
49.1-i |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[49, 7, -\frac{1}{2}w^{4} + \frac{7}{2}w^{2} - 3]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$9$ |
|
✓ |
49.2-a |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[49,7,-\frac{1}{4}w^{5} + 2w^{3} + \frac{1}{2}w^{2} - 4w]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
49.2-b |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[49,7,-\frac{1}{4}w^{5} + 2w^{3} + \frac{1}{2}w^{2} - 4w]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
49.2-c |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[49,7,-\frac{1}{4}w^{5} + 2w^{3} + \frac{1}{2}w^{2} - 4w]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
✓ |
49.2-d |
6.6.1229312.1 |
$6$ |
$1229312$ |
$[49,7,-\frac{1}{4}w^{5} + 2w^{3} + \frac{1}{2}w^{2} - 4w]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
✓ |