| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 9.1-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[9, 3, -w^2 + 2]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.1-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[9, 3, -w^2 + 2]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 16.1-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 25.1-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[25,5,-w^3 + 5 w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 25.2-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[25, 5, w^3 - 5 w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 36.1-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[36, 6, w^3 - 5 w]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 46.1-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46, 46, w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.1-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46, 46, w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.1-c |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46, 46, w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.1-d |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46, 46, w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.2-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,w^3 - 4 w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.2-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,w^3 - 4 w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.2-c |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,w^3 - 4 w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.2-d |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,w^3 - 4 w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.3-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,-w^3 + 4 w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.3-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,-w^3 + 4 w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.3-c |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,-w^3 + 4 w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.3-d |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,-w^3 + 4 w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.4-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,-w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.4-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,-w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.4-c |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,-w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.4-d |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,-w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.1-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47, 47, -3 w^3 + 2 w^2 + 12 w - 8]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.1-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47, 47, -3 w^3 + 2 w^2 + 12 w - 8]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.2-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47,47,-2 w^2 + 3 w]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.2-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47,47,-2 w^2 + 3 w]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.3-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47,47,-2 w^2 - 3 w]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.3-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47,47,-2 w^2 - 3 w]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.4-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47,47,3 w^3 + 2 w^2 - 12 w - 8]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.4-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47,47,3 w^3 + 2 w^2 - 12 w - 8]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 49.1-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[49, 7, 2 w^3 - 6 w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 49.1-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[49, 7, 2 w^3 - 6 w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 49.1-c |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[49, 7, 2 w^3 - 6 w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 49.2-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[49,7,-2 w^3 + 6 w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 49.2-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[49,7,-2 w^3 + 6 w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 49.2-c |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[49,7,-2 w^3 + 6 w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 50.1-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[50, 10, -w^2 + w + 4]$ |
$50$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 50.1-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[50, 10, -w^2 + w + 4]$ |
$50$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 50.2-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[50,10,-w^2 - w + 4]$ |
$50$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 50.2-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[50,10,-w^2 - w + 4]$ |
$50$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 64.1-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[64, 4, 2 w^3 - 6 w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 64.1-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[64, 4, 2 w^3 - 6 w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 64.1-c |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[64, 4, 2 w^3 - 6 w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 64.1-d |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[64, 4, 2 w^3 - 6 w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 71.1-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[71, 71, 2 w^3 - w^2 - 7 w + 1]$ |
$71$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 71.1-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[71, 71, 2 w^3 - w^2 - 7 w + 1]$ |
$71$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 71.2-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[71,71,-w^3 + w^2 + 2 w - 3]$ |
$71$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 71.2-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[71,71,-w^3 + w^2 + 2 w - 3]$ |
$71$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
