| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 1.1-b |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 1.1-c |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 1.1-d |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 1.1-e |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 4.1-a |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[4, 2, -\frac{2}{23} w^3 + \frac{3}{23} w^2 - \frac{3}{23} w + \frac{1}{23}]$ |
$4$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 4.1-b |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[4, 2, -\frac{2}{23} w^3 + \frac{3}{23} w^2 - \frac{3}{23} w + \frac{1}{23}]$ |
$4$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 9.1-a |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[9, 3, -\frac{2}{23} w^3 + \frac{3}{23} w^2 + \frac{43}{23} w + \frac{24}{23}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 9.1-b |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[9, 3, -\frac{2}{23} w^3 + \frac{3}{23} w^2 + \frac{43}{23} w + \frac{24}{23}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 9.1-c |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[9, 3, -\frac{2}{23} w^3 + \frac{3}{23} w^2 + \frac{43}{23} w + \frac{24}{23}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 9.2-a |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[9,3,\frac{2}{23} w^3 - \frac{3}{23} w^2 - \frac{43}{23} w + \frac{68}{23}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 9.2-b |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[9,3,\frac{2}{23} w^3 - \frac{3}{23} w^2 - \frac{43}{23} w + \frac{68}{23}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 9.2-c |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[9,3,\frac{2}{23} w^3 - \frac{3}{23} w^2 - \frac{43}{23} w + \frac{68}{23}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 16.1-a |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-b |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-c |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
✓ |
✓ |
| 16.1-d |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
✓ |
✓ |
| 16.1-e |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
✓ |
|
| 16.1-f |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.1-g |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 16.1-h |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 16.1-i |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 16.1-j |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$8$ |
|
✓ |
| 19.1-a |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[19, 19, -\frac{2}{23} w^3 + \frac{3}{23} w^2 - \frac{3}{23} w + \frac{24}{23}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$20$ |
|
|
| 19.1-b |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[19, 19, -\frac{2}{23} w^3 + \frac{3}{23} w^2 - \frac{3}{23} w + \frac{24}{23}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$20$ |
|
|
| 19.2-a |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[19,19,-\frac{6}{23} w^3 + \frac{9}{23} w^2 + \frac{83}{23} w - \frac{20}{23}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$20$ |
|
|
| 19.2-b |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[19,19,-\frac{6}{23} w^3 + \frac{9}{23} w^2 + \frac{83}{23} w - \frac{20}{23}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$20$ |
|
|
| 19.3-a |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[19,19,\frac{6}{23} w^3 - \frac{9}{23} w^2 - \frac{83}{23} w + \frac{66}{23}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$20$ |
|
|
| 19.3-b |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[19,19,\frac{6}{23} w^3 - \frac{9}{23} w^2 - \frac{83}{23} w + \frac{66}{23}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$20$ |
|
|
| 19.4-a |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[19,19,\frac{2}{23} w^3 - \frac{3}{23} w^2 + \frac{3}{23} w + \frac{22}{23}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$20$ |
|
|
| 19.4-b |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[19,19,\frac{2}{23} w^3 - \frac{3}{23} w^2 + \frac{3}{23} w + \frac{22}{23}]$ |
$19$ |
$[2, 2, 2, 2]$ |
$20$ |
|
|
| 25.1-a |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-b |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 25.1-c |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-d |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 25.1-e |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-f |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 25.1-g |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 25.1-h |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 25.1-i |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 25.1-j |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 25.1-k |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 25.1-l |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 25.1-m |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-n |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-o |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 25.1-p |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-q |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 25.1-r |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-s |
\(\Q(\sqrt{5}, \sqrt{7})\) |
$4$ |
$19600$ |
$[25, 5, -\frac{4}{23} w^3 + \frac{6}{23} w^2 + \frac{40}{23} w - \frac{21}{23}]$ |
$25$ |
$[2, 2, 2, 2]$ |
$20$ |
|
✓ |
