Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
1.1-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
16.1-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
25.1-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[25, 5, w^{2} - 3]$ |
$25$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
31.1-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[31, 31, \frac{1}{2}w^{3} + \frac{1}{2}w^{2} - 3w]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.2-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[31,31,-\frac{1}{2}w^{2} - w + 3]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.3-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[31,31,-\frac{1}{2}w^{2} + w + 3]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.4-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[31,31,-\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 3w]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
36.1-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[36, 6, -w^{3} + 5w + 2]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
36.1-b |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[36, 6, -w^{3} + 5w + 2]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
36.2-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[36,6,w^{3} - 5w + 2]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
36.2-b |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[36,6,w^{3} - 5w + 2]$ |
$36$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
41.1-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[41, 41, \frac{1}{2}w^{3} - w^{2} - w + 3]$ |
$41$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
41.2-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[41,41,w^{3} + w^{2} - 5w - 3]$ |
$41$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
41.3-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[41,41,-w^{3} + w^{2} + 5w - 3]$ |
$41$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
41.4-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[41,41,-\frac{1}{2}w^{3} - w^{2} + w + 3]$ |
$41$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
49.1-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[49,7,-\frac{1}{2}w^{3} + 2w - 3]$ |
$49$ |
$[2, 2, 2, 2]$ |
$3$ |
|
✓ |
49.2-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[49, 7, \frac{1}{2}w^{3} - 2w - 3]$ |
$49$ |
$[2, 2, 2, 2]$ |
$3$ |
|
✓ |
64.1-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[64, 4, w^{3} - 4w]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
71.1-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[71, 71, \frac{1}{2}w^{3} + \frac{1}{2}w^{2} - 2w - 5]$ |
$71$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
71.1-b |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[71, 71, \frac{1}{2}w^{3} + \frac{1}{2}w^{2} - 2w - 5]$ |
$71$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
71.2-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[71,71,\frac{1}{2}w^{3} - \frac{1}{2}w^{2} - 2w - 2]$ |
$71$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
71.2-b |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[71,71,\frac{1}{2}w^{3} - \frac{1}{2}w^{2} - 2w - 2]$ |
$71$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
71.3-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[71,71,-\frac{1}{2}w^{3} - \frac{1}{2}w^{2} + 2w - 2]$ |
$71$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
71.3-b |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[71,71,-\frac{1}{2}w^{3} - \frac{1}{2}w^{2} + 2w - 2]$ |
$71$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
71.4-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[71,71,-\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 2w - 5]$ |
$71$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
71.4-b |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[71,71,-\frac{1}{2}w^{3} + \frac{1}{2}w^{2} + 2w - 5]$ |
$71$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
79.1-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[79, 79, \frac{1}{2}w^{3} + \frac{3}{2}w^{2} - 2w - 4]$ |
$79$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
79.2-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[79,79,-\frac{1}{2}w^{3} - \frac{3}{2}w^{2} + 2w + 5]$ |
$79$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
79.3-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[79,79,\frac{1}{2}w^{3} - \frac{3}{2}w^{2} - 2w + 5]$ |
$79$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
79.4-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[79,79,-\frac{1}{2}w^{3} + \frac{3}{2}w^{2} + 2w - 4]$ |
$79$ |
$[2, 2, 2, 2]$ |
$3$ |
|
|
81.1-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[81, 3, 3]$ |
$81$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
81.1-b |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[81, 3, 3]$ |
$81$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
81.1-c |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[81, 3, 3]$ |
$81$ |
$[2, 2, 2, 2]$ |
$3$ |
|
✓ |
81.2-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[81, 9, -\frac{1}{2}w^{3} + 4w - 1]$ |
$81$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
81.2-b |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[81, 9, -\frac{1}{2}w^{3} + 4w - 1]$ |
$81$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
81.2-c |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[81, 9, -\frac{1}{2}w^{3} + 4w - 1]$ |
$81$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
81.3-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[81,9,\frac{1}{2}w^{3} - 4w - 1]$ |
$81$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
81.3-b |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[81,9,\frac{1}{2}w^{3} - 4w - 1]$ |
$81$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
81.3-c |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[81,9,\frac{1}{2}w^{3} - 4w - 1]$ |
$81$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
89.1-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[89, 89, w^{2} + w - 5]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
89.1-b |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[89, 89, w^{2} + w - 5]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
89.1-c |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[89, 89, w^{2} + w - 5]$ |
$89$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
89.2-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[89,89,-\frac{1}{2}w^{3} - w^{2} + 3w + 1]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
89.2-b |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[89,89,-\frac{1}{2}w^{3} - w^{2} + 3w + 1]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
89.2-c |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[89,89,-\frac{1}{2}w^{3} - w^{2} + 3w + 1]$ |
$89$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
89.3-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[89,89,\frac{1}{2}w^{3} - w^{2} - 3w + 1]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
89.3-b |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[89,89,\frac{1}{2}w^{3} - w^{2} - 3w + 1]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
89.3-c |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[89,89,\frac{1}{2}w^{3} - w^{2} - 3w + 1]$ |
$89$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
89.4-a |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[89,89,w^{2} - w - 5]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
89.4-b |
\(\Q(\sqrt{2}, \sqrt{5})\) |
$4$ |
$1600$ |
$[89,89,w^{2} - w - 5]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|