| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 1.1-b |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 1.1-c |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 1.1-d |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 4.1-a |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[4, 2, -\frac{2}{19} w^3 + \frac{3}{19} w^2 + \frac{37}{19} w - 3]$ |
$4$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 5.1-a |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[5, 5, \frac{3}{19} w^3 + \frac{5}{19} w^2 - \frac{27}{19} w - 1]$ |
$5$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 5.1-b |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[5, 5, \frac{3}{19} w^3 + \frac{5}{19} w^2 - \frac{27}{19} w - 1]$ |
$5$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 5.2-a |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[5,5,-\frac{3}{19} w^3 + \frac{14}{19} w^2 + \frac{8}{19} w - 2]$ |
$5$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 5.2-b |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[5,5,-\frac{3}{19} w^3 + \frac{14}{19} w^2 + \frac{8}{19} w - 2]$ |
$5$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.1-a |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[9, 3, -\frac{2}{19} w^3 + \frac{3}{19} w^2 + \frac{37}{19} w - 4]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.1-b |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[9, 3, -\frac{2}{19} w^3 + \frac{3}{19} w^2 + \frac{37}{19} w - 4]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.1-c |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[9, 3, -\frac{2}{19} w^3 + \frac{3}{19} w^2 + \frac{37}{19} w - 4]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.1-d |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[9, 3, -\frac{2}{19} w^3 + \frac{3}{19} w^2 + \frac{37}{19} w - 4]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.1-e |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[9, 3, -\frac{2}{19} w^3 + \frac{3}{19} w^2 + \frac{37}{19} w - 4]$ |
$9$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 9.1-f |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[9, 3, -\frac{2}{19} w^3 + \frac{3}{19} w^2 + \frac{37}{19} w - 4]$ |
$9$ |
$[2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 16.1-a |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 16.1-b |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.1-c |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.1-d |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.1-e |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 16.1-f |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 16.1-g |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$8$ |
|
✓ |
| 19.1-a |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[19, 19, -w]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.1-b |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[19, 19, -w]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.1-c |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[19, 19, -w]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.2-a |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[19,19,\frac{4}{19} w^3 - \frac{6}{19} w^2 - \frac{55}{19} w + 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.2-b |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[19,19,\frac{4}{19} w^3 - \frac{6}{19} w^2 - \frac{55}{19} w + 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.2-c |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[19,19,\frac{4}{19} w^3 - \frac{6}{19} w^2 - \frac{55}{19} w + 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.3-a |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[19,19,-\frac{4}{19} w^3 + \frac{6}{19} w^2 + \frac{55}{19} w - 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.3-b |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[19,19,-\frac{4}{19} w^3 + \frac{6}{19} w^2 + \frac{55}{19} w - 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.3-c |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[19,19,-\frac{4}{19} w^3 + \frac{6}{19} w^2 + \frac{55}{19} w - 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.4-a |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[19,19,w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.4-b |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[19,19,w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 19.4-c |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[19,19,w - 1]$ |
$19$ |
$[2, 2, 2, 2]$ |
$8$ |
|
|
| 20.1-a |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20, 10, \frac{2}{19} w^3 - \frac{3}{19} w^2 + \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 20.1-b |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20, 10, \frac{2}{19} w^3 - \frac{3}{19} w^2 + \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 20.1-c |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20, 10, \frac{2}{19} w^3 - \frac{3}{19} w^2 + \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 20.1-d |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20, 10, \frac{2}{19} w^3 - \frac{3}{19} w^2 + \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 20.1-e |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20, 10, \frac{2}{19} w^3 - \frac{3}{19} w^2 + \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 20.1-f |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20, 10, \frac{2}{19} w^3 - \frac{3}{19} w^2 + \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 20.1-g |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20, 10, \frac{2}{19} w^3 - \frac{3}{19} w^2 + \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 20.1-h |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20, 10, \frac{2}{19} w^3 - \frac{3}{19} w^2 + \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 20.1-i |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20, 10, \frac{2}{19} w^3 - \frac{3}{19} w^2 + \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 20.1-j |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20, 10, \frac{2}{19} w^3 - \frac{3}{19} w^2 + \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 20.1-k |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20, 10, \frac{2}{19} w^3 - \frac{3}{19} w^2 + \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 20.1-l |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20, 10, \frac{2}{19} w^3 - \frac{3}{19} w^2 + \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 20.2-a |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20,10,-\frac{2}{19} w^3 + \frac{3}{19} w^2 - \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 20.2-b |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20,10,-\frac{2}{19} w^3 + \frac{3}{19} w^2 - \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 20.2-c |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20,10,-\frac{2}{19} w^3 + \frac{3}{19} w^2 - \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 20.2-d |
\(\Q(\sqrt{5}, \sqrt{6})\) |
$4$ |
$14400$ |
$[20,10,-\frac{2}{19} w^3 + \frac{3}{19} w^2 - \frac{1}{19} w - 1]$ |
$20$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |