Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
1.1-a |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
1.1-b |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
1.1-c |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
1.1-d |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
✓ |
✓ |
1.1-e |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
7.1-a |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[7, 7, \frac{1}{3}w^{3} - \frac{8}{3}w + 2]$ |
$7$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
7.1-b |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[7, 7, \frac{1}{3}w^{3} - \frac{8}{3}w + 2]$ |
$7$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
7.2-a |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[7,7,-\frac{1}{3}w^{3} + \frac{8}{3}w + 2]$ |
$7$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
7.2-b |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[7,7,-\frac{1}{3}w^{3} + \frac{8}{3}w + 2]$ |
$7$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
8.1-a |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[8, 2, -\frac{1}{3}w^{3} - w^{2} - \frac{1}{3}w + 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
8.1-b |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[8, 2, -\frac{1}{3}w^{3} - w^{2} - \frac{1}{3}w + 1]$ |
$8$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
9.1-a |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[9, 3, w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
9.1-b |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[9, 3, w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
9.2-a |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[9,3,-\frac{1}{3}w^{3} + \frac{8}{3}w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
9.2-b |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[9,3,-\frac{1}{3}w^{3} + \frac{8}{3}w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
14.1-a |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[14, 14, \frac{2}{3}w^{3} - \frac{13}{3}w + 1]$ |
$14$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
14.1-b |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[14, 14, \frac{2}{3}w^{3} - \frac{13}{3}w + 1]$ |
$14$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
14.1-c |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[14, 14, \frac{2}{3}w^{3} - \frac{13}{3}w + 1]$ |
$14$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
14.1-d |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[14, 14, \frac{2}{3}w^{3} - \frac{13}{3}w + 1]$ |
$14$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
14.2-a |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[14,14,-\frac{2}{3}w^{3} + \frac{13}{3}w + 1]$ |
$14$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
14.2-b |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[14,14,-\frac{2}{3}w^{3} + \frac{13}{3}w + 1]$ |
$14$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
14.2-c |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[14,14,-\frac{2}{3}w^{3} + \frac{13}{3}w + 1]$ |
$14$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
14.2-d |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[14,14,-\frac{2}{3}w^{3} + \frac{13}{3}w + 1]$ |
$14$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
16.1-a |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
16.1-b |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
16.1-c |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
16.1-d |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
16.1-e |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
16.1-f |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
16.1-g |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
16.1-h |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
16.1-i |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
✓ |
✓ |
18.1-a |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[18,6,\frac{1}{3}w^{3} - \frac{8}{3}w - 3]$ |
$18$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
18.1-b |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[18,6,\frac{1}{3}w^{3} - \frac{8}{3}w - 3]$ |
$18$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
18.2-a |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[18, 6, -w - 3]$ |
$18$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
18.2-b |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[18, 6, -w - 3]$ |
$18$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
25.1-a |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[25,5,\frac{1}{3}w^{3} - w^{2} - \frac{5}{3}w + 4]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
25.1-b |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[25,5,\frac{1}{3}w^{3} - w^{2} - \frac{5}{3}w + 4]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
25.1-c |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[25,5,\frac{1}{3}w^{3} - w^{2} - \frac{5}{3}w + 4]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
25.1-d |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[25,5,\frac{1}{3}w^{3} - w^{2} - \frac{5}{3}w + 4]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
25.1-e |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[25,5,\frac{1}{3}w^{3} - w^{2} - \frac{5}{3}w + 4]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
25.1-f |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[25,5,\frac{1}{3}w^{3} - w^{2} - \frac{5}{3}w + 4]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
25.1-g |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[25,5,\frac{1}{3}w^{3} - w^{2} - \frac{5}{3}w + 4]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
25.1-h |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[25,5,\frac{1}{3}w^{3} - w^{2} - \frac{5}{3}w + 4]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
25.1-i |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[25,5,\frac{1}{3}w^{3} - w^{2} - \frac{5}{3}w + 4]$ |
$25$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
25.1-j |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[25,5,\frac{1}{3}w^{3} - w^{2} - \frac{5}{3}w + 4]$ |
$25$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
25.1-k |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[25,5,\frac{1}{3}w^{3} - w^{2} - \frac{5}{3}w + 4]$ |
$25$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
25.1-l |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[25,5,\frac{1}{3}w^{3} - w^{2} - \frac{5}{3}w + 4]$ |
$25$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
25.2-a |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[25, 5, -\frac{1}{3}w^{3} - w^{2} + \frac{5}{3}w + 4]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
25.2-b |
\(\Q(\sqrt{2}, \sqrt{7})\) |
$4$ |
$12544$ |
$[25, 5, -\frac{1}{3}w^{3} - w^{2} + \frac{5}{3}w + 4]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |