| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 1.1-b |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.1-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[9, 3, \frac{1}{4} w^3 - \frac{11}{4} w - \frac{1}{2}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.2-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[9,3,-\frac{1}{4} w^3 + \frac{11}{4} w - \frac{1}{2}]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-b |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-c |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.2-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[16,4,-\frac{1}{2} w^3 + \frac{9}{2} w - 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.3-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[16, 4, w - 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 25.1-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[25, 5, \frac{1}{2} w^3 - \frac{7}{2} w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 25.1-b |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[25, 5, \frac{1}{2} w^3 - \frac{7}{2} w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 25.1-c |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[25, 5, \frac{1}{2} w^3 - \frac{7}{2} w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$3$ |
|
✓ |
| 29.1-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29, 29, -\frac{1}{4} w^3 + \frac{1}{2} w^2 + \frac{9}{4} w - \frac{1}{2}]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.1-b |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29, 29, -\frac{1}{4} w^3 + \frac{1}{2} w^2 + \frac{9}{4} w - \frac{1}{2}]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.1-c |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29, 29, -\frac{1}{4} w^3 + \frac{1}{2} w^2 + \frac{9}{4} w - \frac{1}{2}]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.1-d |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29, 29, -\frac{1}{4} w^3 + \frac{1}{2} w^2 + \frac{9}{4} w - \frac{1}{2}]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.1-e |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29, 29, -\frac{1}{4} w^3 + \frac{1}{2} w^2 + \frac{9}{4} w - \frac{1}{2}]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.2-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29,29,-\frac{1}{2} w^2 - \frac{1}{2} w + 4]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.2-b |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29,29,-\frac{1}{2} w^2 - \frac{1}{2} w + 4]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.2-c |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29,29,-\frac{1}{2} w^2 - \frac{1}{2} w + 4]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.2-d |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29,29,-\frac{1}{2} w^2 - \frac{1}{2} w + 4]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.2-e |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29,29,-\frac{1}{2} w^2 - \frac{1}{2} w + 4]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.3-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29,29,-\frac{1}{2} w^2 + \frac{1}{2} w + 4]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.3-b |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29,29,-\frac{1}{2} w^2 + \frac{1}{2} w + 4]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.3-c |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29,29,-\frac{1}{2} w^2 + \frac{1}{2} w + 4]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.3-d |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29,29,-\frac{1}{2} w^2 + \frac{1}{2} w + 4]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.3-e |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29,29,-\frac{1}{2} w^2 + \frac{1}{2} w + 4]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.4-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29,29,\frac{1}{4} w^3 + \frac{1}{2} w^2 - \frac{9}{4} w - \frac{1}{2}]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.4-b |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29,29,\frac{1}{4} w^3 + \frac{1}{2} w^2 - \frac{9}{4} w - \frac{1}{2}]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.4-c |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29,29,\frac{1}{4} w^3 + \frac{1}{2} w^2 - \frac{9}{4} w - \frac{1}{2}]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.4-d |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29,29,\frac{1}{4} w^3 + \frac{1}{2} w^2 - \frac{9}{4} w - \frac{1}{2}]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 29.4-e |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[29,29,\frac{1}{4} w^3 + \frac{1}{2} w^2 - \frac{9}{4} w - \frac{1}{2}]$ |
$29$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.1-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36, 6, -\frac{1}{2} w^2 - \frac{1}{2} w + 5]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.1-b |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36, 6, -\frac{1}{2} w^2 - \frac{1}{2} w + 5]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.1-c |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36, 6, -\frac{1}{2} w^2 - \frac{1}{2} w + 5]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.1-d |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36, 6, -\frac{1}{2} w^2 - \frac{1}{2} w + 5]$ |
$36$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 36.2-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36,6,-\frac{1}{2} w^2 + \frac{1}{2} w + 5]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.2-b |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36,6,-\frac{1}{2} w^2 + \frac{1}{2} w + 5]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.2-c |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36,6,-\frac{1}{2} w^2 + \frac{1}{2} w + 5]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.2-d |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36,6,-\frac{1}{2} w^2 + \frac{1}{2} w + 5]$ |
$36$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 36.3-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36,6,\frac{1}{4} w^3 + \frac{1}{2} w^2 - \frac{9}{4} w + \frac{1}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.3-b |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36,6,\frac{1}{4} w^3 + \frac{1}{2} w^2 - \frac{9}{4} w + \frac{1}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.3-c |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36,6,\frac{1}{4} w^3 + \frac{1}{2} w^2 - \frac{9}{4} w + \frac{1}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.3-d |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36,6,\frac{1}{4} w^3 + \frac{1}{2} w^2 - \frac{9}{4} w + \frac{1}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 36.4-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36,6,-\frac{1}{4} w^3 + \frac{1}{2} w^2 + \frac{9}{4} w + \frac{1}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.4-b |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36,6,-\frac{1}{4} w^3 + \frac{1}{2} w^2 + \frac{9}{4} w + \frac{1}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.4-c |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36,6,-\frac{1}{4} w^3 + \frac{1}{2} w^2 + \frac{9}{4} w + \frac{1}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.4-d |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[36,6,-\frac{1}{4} w^3 + \frac{1}{2} w^2 + \frac{9}{4} w + \frac{1}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
| 49.1-a |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[49, 7, \frac{3}{4} w^3 + \frac{1}{2} w^2 - \frac{23}{4} w - \frac{3}{2}]$ |
$49$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 49.1-b |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[49, 7, \frac{3}{4} w^3 + \frac{1}{2} w^2 - \frac{23}{4} w - \frac{3}{2}]$ |
$49$ |
$[2, 2, 2, 2]$ |
$3$ |
|
✓ |
