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