| 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 |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[25,5,-w^{3} + 5w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 25.2-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[25, 5, w^{3} - 5w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 36.1-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[36, 6, w^{3} - 5w]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 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 |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,w^{3} - 4w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.2-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,w^{3} - 4w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.2-c |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,w^{3} - 4w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.2-d |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,w^{3} - 4w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.3-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,-w^{3} + 4w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.3-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,-w^{3} + 4w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.3-c |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,-w^{3} + 4w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 46.3-d |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[46,46,-w^{3} + 4w + 3]$ |
$46$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 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 |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47, 47, -3w^{3} + 2w^{2} + 12w - 8]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.1-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47, 47, -3w^{3} + 2w^{2} + 12w - 8]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.2-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47,47,-2w^{2} + 3w]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.2-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47,47,-2w^{2} + 3w]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.3-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47,47,-2w^{2} - 3w]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.3-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47,47,-2w^{2} - 3w]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.4-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47,47,3w^{3} + 2w^{2} - 12w - 8]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 47.4-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[47,47,3w^{3} + 2w^{2} - 12w - 8]$ |
$47$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 49.1-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[49, 7, 2w^{3} - 6w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 49.1-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[49, 7, 2w^{3} - 6w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 49.1-c |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[49, 7, 2w^{3} - 6w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 49.2-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[49,7,-2w^{3} + 6w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 49.2-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[49,7,-2w^{3} + 6w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 49.2-c |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[49,7,-2w^{3} + 6w - 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 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 |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[64, 4, 2w^{3} - 6w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 64.1-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[64, 4, 2w^{3} - 6w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 64.1-c |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[64, 4, 2w^{3} - 6w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 64.1-d |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[64, 4, 2w^{3} - 6w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 71.1-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[71, 71, 2w^{3} - w^{2} - 7w + 1]$ |
$71$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 71.1-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[71, 71, 2w^{3} - w^{2} - 7w + 1]$ |
$71$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 71.2-a |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[71,71,-w^{3} + w^{2} + 2w - 3]$ |
$71$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 71.2-b |
\(\Q(\sqrt{2}, \sqrt{3})\) |
$4$ |
$2304$ |
$[71,71,-w^{3} + w^{2} + 2w - 3]$ |
$71$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
