| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 11.1-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[11, 11, w^{4} + w^{3} - 4w^{2} - 3w + 2]$ |
$11$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 23.1-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[23, 23, -w^{4} + 3w^{2} + 1]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 23.2-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[23,23,w^{4} - 3w^{2} - w + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 23.3-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[23,23,w^{4} - w^{3} - 3w^{2} + 3w + 2]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 23.4-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[23,23,-w^{4} + w^{3} + 4w^{2} - 3w - 1]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 23.5-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[23,23,-w^{2} + w + 3]$ |
$23$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 32.1-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[32, 2, 2]$ |
$32$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 43.1-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[43, 43, -2w^{4} + w^{3} + 6w^{2} - 2w - 1]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.1-b |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[43, 43, -2w^{4} + w^{3} + 6w^{2} - 2w - 1]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.2-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[43,43,w^{4} - 2w^{2} - w - 1]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.2-b |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[43,43,w^{4} - 2w^{2} - w - 1]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.3-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[43,43,-w^{3} - w^{2} + 4w + 2]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.3-b |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[43,43,-w^{3} - w^{2} + 4w + 2]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.4-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[43,43,2w^{4} - w^{3} - 7w^{2} + 3w + 3]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.4-b |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[43,43,2w^{4} - w^{3} - 7w^{2} + 3w + 3]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.5-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[43,43,-w^{4} + w^{3} + 4w^{2} - 4w - 2]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.5-b |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[43,43,-w^{4} + w^{3} + 4w^{2} - 4w - 2]$ |
$43$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 67.1-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[67, 67, 2w^{4} - 7w^{2} + 2]$ |
$67$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 67.2-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[67,67,2w^{2} - w - 4]$ |
$67$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 67.3-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[67,67,-w^{4} + w^{3} + 3w^{2} - 4w - 1]$ |
$67$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 67.4-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[67,67,w^{4} - 2w^{3} - 4w^{2} + 6w + 2]$ |
$67$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 67.5-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[67,67,-2w^{4} + w^{3} + 6w^{2} - w - 2]$ |
$67$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 89.1-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[89, 89, w^{3} + w^{2} - 4w - 1]$ |
$89$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 89.2-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[89,89,-2w^{4} + w^{3} + 7w^{2} - 3w - 2]$ |
$89$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 89.3-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[89,89,w^{4} - w^{3} - 4w^{2} + 4w + 3]$ |
$89$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 89.4-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[89,89,-w^{4} + 2w^{2} + w + 2]$ |
$89$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 89.5-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[89,89,2w^{4} - w^{3} - 6w^{2} + 2w + 2]$ |
$89$ |
$[2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 109.1-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[109, 109, -w^{3} + 2w^{2} + 3w - 3]$ |
$109$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
| 109.2-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[109,109,w^{4} - 4w^{2} - 2w + 3]$ |
$109$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
| 109.3-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[109,109,-2w^{4} + 2w^{3} + 7w^{2} - 4w - 3]$ |
$109$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
| 109.4-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[109,109,-2w^{3} + 5w + 1]$ |
$109$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
| 109.5-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[109,109,w^{4} + w^{3} - 5w^{2} - 2w + 4]$ |
$109$ |
$[2, 2, 2, 2, 2]$ |
$4$ |
|
|
| 121.1-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[121, 11, w^{4} + w^{3} - 3w^{2} - 3w - 2]$ |
$121$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 121.1-b |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[121, 11, w^{4} + w^{3} - 3w^{2} - 3w - 2]$ |
$121$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 121.1-c |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[121, 11, w^{4} + w^{3} - 3w^{2} - 3w - 2]$ |
$121$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 121.1-d |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[121, 11, w^{4} + w^{3} - 3w^{2} - 3w - 2]$ |
$121$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 131.1-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[131, 131, w^{4} - 3w^{3} - 2w^{2} + 7w]$ |
$131$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 131.1-b |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[131, 131, w^{4} - 3w^{3} - 2w^{2} + 7w]$ |
$131$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
| 131.2-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[131,131,-2w^{4} + 9w^{2} + w - 6]$ |
$131$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 131.2-b |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[131,131,-2w^{4} + 9w^{2} + w - 6]$ |
$131$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
| 131.3-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[131,131,w^{4} + 2w^{3} - 5w^{2} - 6w + 4]$ |
$131$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 131.3-b |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[131,131,w^{4} + 2w^{3} - 5w^{2} - 6w + 4]$ |
$131$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
| 131.4-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[131,131,-w^{4} + 2w^{3} + 3w^{2} - 3w - 1]$ |
$131$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 131.4-b |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[131,131,-w^{4} + 2w^{3} + 3w^{2} - 3w - 1]$ |
$131$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
| 131.5-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[131,131,w^{4} - w^{3} - 5w^{2} + w + 5]$ |
$131$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 131.5-b |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[131,131,w^{4} - w^{3} - 5w^{2} + w + 5]$ |
$131$ |
$[2, 2, 2, 2, 2]$ |
$5$ |
|
|
| 197.1-a |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[197, 197, 3w^{4} - w^{3} - 10w^{2} + w + 5]$ |
$197$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 197.1-b |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[197, 197, 3w^{4} - w^{3} - 10w^{2} + w + 5]$ |
$197$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 197.1-c |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[197, 197, 3w^{4} - w^{3} - 10w^{2} + w + 5]$ |
$197$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 197.1-d |
\(\Q(\zeta_{11})^+\) |
$5$ |
$14641$ |
$[197, 197, 3w^{4} - w^{3} - 10w^{2} + w + 5]$ |
$197$ |
$[2, 2, 2, 2, 2]$ |
$1$ |
|
|
