Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
1.1-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
16.1-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
17.1-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[17, 17, -w^{2} - w + 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
17.1-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[17, 17, -w^{2} - w + 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
17.2-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[17,17,w^{3} + w^{2} - 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
17.2-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[17,17,w^{3} + w^{2} - 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
17.3-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[17,17,-w^{3} + w^{2} + 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
17.3-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[17,17,-w^{3} + w^{2} + 3w - 1]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
17.4-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[17,17,-w^{2} + w + 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
17.4-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[17,17,-w^{2} + w + 3]$ |
$17$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[31, 31, w^{3} + w^{2} - 2w - 3]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.2-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[31,31,w^{3} - w^{2} - 4w + 1]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.3-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[31,31,-w^{3} - w^{2} + 4w + 1]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.4-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[31,31,-w^{3} + w^{2} + 2w - 3]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
32.1-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[32, 4, 2w]$ |
$32$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
34.1-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[34, 34, w^{2} - w - 4]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
34.1-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[34, 34, w^{2} - w - 4]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
34.2-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[34,34,w^{3} - w^{2} - 3w]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
34.2-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[34,34,w^{3} - w^{2} - 3w]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
34.3-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[34,34,-w^{3} - w^{2} + 3w]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
34.3-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[34,34,-w^{3} - w^{2} + 3w]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
34.4-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[34,34,w^{2} + w - 4]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
34.4-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[34,34,w^{2} + w - 4]$ |
$34$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
47.1-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[47, 47, -2w^{3} + w^{2} + 5w - 1]$ |
$47$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
47.2-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[47,47,w^{3} - w^{2} - 5w + 3]$ |
$47$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
47.3-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[47,47,-w^{3} - w^{2} + 5w + 3]$ |
$47$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
47.4-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[47,47,2w^{3} + w^{2} - 5w - 1]$ |
$47$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
49.1-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[49, 7, w^{2} + 1]$ |
$49$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
49.2-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[49,7,-w^{2} + 5]$ |
$49$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
62.1-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[62, 62, w^{3} + w^{2} - 5w - 2]$ |
$62$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
62.1-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[62, 62, w^{3} + w^{2} - 5w - 2]$ |
$62$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
62.2-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[62,62,-2w^{3} - w^{2} + 5w + 2]$ |
$62$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
62.2-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[62,62,-2w^{3} - w^{2} + 5w + 2]$ |
$62$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
62.3-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[62,62,2w^{3} - w^{2} - 5w + 2]$ |
$62$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
62.3-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[62,62,2w^{3} - w^{2} - 5w + 2]$ |
$62$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
62.4-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[62,62,-w^{3} + w^{2} + 5w - 2]$ |
$62$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
62.4-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[62,62,-w^{3} + w^{2} + 5w - 2]$ |
$62$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
64.1-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[64, 4, 2w^{2} - 4]$ |
$64$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
64.1-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[64, 4, 2w^{2} - 4]$ |
$64$ |
$[2, 2, 2, 2]$ |
$2$ |
✓ |
✓ |
68.1-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[68, 34, -w^{3} + w^{2} + 2w - 4]$ |
$68$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
68.2-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[68,34,w^{3} - w^{2} - 4w]$ |
$68$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
68.3-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[68,34,-w^{3} - w^{2} + 4w]$ |
$68$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
68.4-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[68,34,w^{3} + w^{2} - 2w - 4]$ |
$68$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
79.1-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[79, 79, -w^{3} - w^{2} + 4w - 1]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
79.1-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[79, 79, -w^{3} - w^{2} + 4w - 1]$ |
$79$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
79.2-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[79,79,-w^{3} + w^{2} + 2w - 5]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
79.2-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[79,79,-w^{3} + w^{2} + 2w - 5]$ |
$79$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
79.3-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[79,79,w^{3} + w^{2} - 2w - 5]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
79.3-b |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[79,79,w^{3} + w^{2} - 2w - 5]$ |
$79$ |
$[2, 2, 2, 2]$ |
$5$ |
|
|
79.4-a |
\(\Q(\zeta_{16})^+\) |
$4$ |
$2048$ |
$[79,79,w^{3} - w^{2} - 4w - 1]$ |
$79$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|