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 |
\(\Q(\sqrt{5}, \sqrt{13})\) |
$4$ |
$4225$ |
$[49, 7, \frac{3}{4}w^{3} + \frac{1}{2}w^{2} - \frac{23}{4}w - \frac{3}{2}]$ |
$49$ |
$[2, 2, 2, 2]$ |
$3$ |
|
✓ |