| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 1.1-b |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 1.1-c |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 4.1-a |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[4, 2, -w^{3} + 4w - 1]$ |
$4$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 9.1-a |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[9,3,w^{3} - w^{2} - 5w + 3]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.1-b |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[9,3,w^{3} - w^{2} - 5w + 3]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 9.1-c |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[9,3,w^{3} - w^{2} - 5w + 3]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.2-a |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[9, 3, -w^{3} - w^{2} + 5w + 3]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.2-b |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[9, 3, -w^{3} - w^{2} + 5w + 3]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 9.2-c |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[9, 3, -w^{3} - w^{2} + 5w + 3]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.3-a |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[9, 3, w^{3} - 4w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.3-b |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[9, 3, w^{3} - 4w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.3-c |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[9, 3, w^{3} - 4w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 9.3-d |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[9, 3, w^{3} - 4w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 12.1-a |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[12, 6, -w^{3} - w^{2} + 5w + 2]$ |
$12$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 12.1-b |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[12, 6, -w^{3} - w^{2} + 5w + 2]$ |
$12$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 12.2-a |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[12,6,w^{3} - w^{2} - 5w + 2]$ |
$12$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 12.2-b |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[12,6,w^{3} - w^{2} - 5w + 2]$ |
$12$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-a |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-b |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 16.1-c |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-d |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 25.1-a |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[25, 5, w^{2} - 3]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-b |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[25, 5, w^{2} - 3]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-c |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[25, 5, w^{2} - 3]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-d |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[25, 5, w^{2} - 3]$ |
$25$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 25.2-a |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[25,5,-w^{2} + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.2-b |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[25,5,-w^{2} + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.2-c |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[25,5,-w^{2} + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.2-d |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[25,5,-w^{2} + 2]$ |
$25$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 27.1-a |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27, 3, -w^{3} + w^{2} + 4w - 1]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-b |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27, 3, -w^{3} + w^{2} + 4w - 1]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-c |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27, 3, -w^{3} + w^{2} + 4w - 1]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-d |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27, 3, -w^{3} + w^{2} + 4w - 1]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.2-a |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27,3,w^{3} + w^{2} - 4w - 1]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.2-b |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27,3,w^{3} + w^{2} - 4w - 1]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.2-c |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27,3,w^{3} + w^{2} - 4w - 1]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.2-d |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27,3,w^{3} + w^{2} - 4w - 1]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.3-a |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27, 9, -w^{3} + 3w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.3-b |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27, 9, -w^{3} + 3w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.3-c |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27, 9, -w^{3} + 3w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.3-d |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27, 9, -w^{3} + 3w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.4-a |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27,9,w^{3} - 3w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.4-b |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27,9,w^{3} - 3w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.4-c |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27,9,w^{3} - 3w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 27.4-d |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[27,9,w^{3} - 3w + 2]$ |
$27$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.1-a |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[36,6,w^{3} - 6w + 1]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.1-b |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[36,6,w^{3} - 6w + 1]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 36.1-c |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[36,6,w^{3} - 6w + 1]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.1-d |
\(\Q(\sqrt{3}, \sqrt{7})\) |
$4$ |
$7056$ |
$[36,6,w^{3} - 6w + 1]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
