| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 1.1-b |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 4.1-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[4,2,-\frac{1}{6}w^{3} + \frac{7}{3}w + \frac{3}{2}]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 4.2-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[4, 2, \frac{1}{6}w^{3} - \frac{7}{3}w + \frac{3}{2}]$ |
$4$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.1-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[9,3,-\frac{1}{3}w^{3} + \frac{11}{3}w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.1-b |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[9,3,-\frac{1}{3}w^{3} + \frac{11}{3}w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 9.2-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[9, 3, w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.2-b |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[9, 3, w]$ |
$9$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 16.1-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-b |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-c |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 16.1-d |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.1-e |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.2-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[16,4,-\frac{1}{6}w^{3} + \frac{7}{3}w - \frac{1}{2}]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.2-b |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[16,4,-\frac{1}{6}w^{3} + \frac{7}{3}w - \frac{1}{2}]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 16.3-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[16, 4, \frac{1}{6}w^{3} - \frac{7}{3}w - \frac{1}{2}]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 16.3-b |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[16, 4, \frac{1}{6}w^{3} - \frac{7}{3}w - \frac{1}{2}]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 19.1-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[19, 19, w + 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 19.1-b |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[19, 19, w + 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
| 19.2-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[19,19,\frac{1}{3}w^{3} - \frac{11}{3}w + 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 19.2-b |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[19,19,\frac{1}{3}w^{3} - \frac{11}{3}w + 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
| 19.3-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[19,19,-\frac{1}{3}w^{3} + \frac{11}{3}w + 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 19.3-b |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[19,19,-\frac{1}{3}w^{3} + \frac{11}{3}w + 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
| 19.4-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[19,19,-w + 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 19.4-b |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[19,19,-w + 2]$ |
$19$ |
$[2, 2, 2, 2]$ |
$7$ |
|
|
| 25.1-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[25, 5, \frac{1}{3}w^{3} - \frac{8}{3}w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 25.1-b |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[25, 5, \frac{1}{3}w^{3} - \frac{8}{3}w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$3$ |
|
✓ |
| 25.1-c |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[25, 5, \frac{1}{3}w^{3} - \frac{8}{3}w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$4$ |
|
|
| 25.1-d |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[25, 5, \frac{1}{3}w^{3} - \frac{8}{3}w]$ |
$25$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 36.1-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36,6,-\frac{1}{2}w^{2} + \frac{1}{2}w + \frac{9}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.1-b |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36,6,-\frac{1}{2}w^{2} + \frac{1}{2}w + \frac{9}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.1-c |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36,6,-\frac{1}{2}w^{2} + \frac{1}{2}w + \frac{9}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.1-d |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36,6,-\frac{1}{2}w^{2} + \frac{1}{2}w + \frac{9}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.1-e |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36,6,-\frac{1}{2}w^{2} + \frac{1}{2}w + \frac{9}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.1-f |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36,6,-\frac{1}{2}w^{2} + \frac{1}{2}w + \frac{9}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.1-g |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36,6,-\frac{1}{2}w^{2} + \frac{1}{2}w + \frac{9}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 36.2-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36, 6, -\frac{1}{2}w^{2} - \frac{1}{2}w + \frac{9}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.2-b |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36, 6, -\frac{1}{2}w^{2} - \frac{1}{2}w + \frac{9}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.2-c |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36, 6, -\frac{1}{2}w^{2} - \frac{1}{2}w + \frac{9}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.2-d |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36, 6, -\frac{1}{2}w^{2} - \frac{1}{2}w + \frac{9}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.2-e |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36, 6, -\frac{1}{2}w^{2} - \frac{1}{2}w + \frac{9}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.2-f |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36, 6, -\frac{1}{2}w^{2} - \frac{1}{2}w + \frac{9}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.2-g |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36, 6, -\frac{1}{2}w^{2} - \frac{1}{2}w + \frac{9}{2}]$ |
$36$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
| 36.3-a |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36,6,\frac{1}{6}w^{3} + \frac{1}{2}w^{2} - \frac{11}{6}w - 1]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.3-b |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36,6,\frac{1}{6}w^{3} + \frac{1}{2}w^{2} - \frac{11}{6}w - 1]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.3-c |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36,6,\frac{1}{6}w^{3} + \frac{1}{2}w^{2} - \frac{11}{6}w - 1]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 36.3-d |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36,6,\frac{1}{6}w^{3} + \frac{1}{2}w^{2} - \frac{11}{6}w - 1]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.3-e |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36,6,\frac{1}{6}w^{3} + \frac{1}{2}w^{2} - \frac{11}{6}w - 1]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.3-f |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36,6,\frac{1}{6}w^{3} + \frac{1}{2}w^{2} - \frac{11}{6}w - 1]$ |
$36$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 36.3-g |
\(\Q(\sqrt{5}, \sqrt{17})\) |
$4$ |
$7225$ |
$[36,6,\frac{1}{6}w^{3} + \frac{1}{2}w^{2} - \frac{11}{6}w - 1]$ |
$36$ |
$[2, 2, 2, 2]$ |
$6$ |
|
|
