| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 7.1-a |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[7, 7, -w^5 + 5 w^3 - 5 w - 1]$ |
$7$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 27.1-a |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[27, 3, -2 w^5 + 10 w^3 - w^2 - 10 w + 2]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 27.1-b |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[27, 3, -2 w^5 + 10 w^3 - w^2 - 10 w + 2]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 41.1-a |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41, 41, -w^5 + 6 w^3 - w^2 - 7 w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.1-b |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41, 41, -w^5 + 6 w^3 - w^2 - 7 w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.1-c |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41, 41, -w^5 + 6 w^3 - w^2 - 7 w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.1-d |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41, 41, -w^5 + 6 w^3 - w^2 - 7 w + 2]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.2-a |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,w^4 - w^3 - 4 w^2 + 3 w + 1]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.2-b |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,w^4 - w^3 - 4 w^2 + 3 w + 1]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.2-c |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,w^4 - w^3 - 4 w^2 + 3 w + 1]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.2-d |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,w^4 - w^3 - 4 w^2 + 3 w + 1]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.3-a |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,-2 w^5 + 12 w^3 - 2 w^2 - 17 w + 5]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.3-b |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,-2 w^5 + 12 w^3 - 2 w^2 - 17 w + 5]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.3-c |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,-2 w^5 + 12 w^3 - 2 w^2 - 17 w + 5]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.3-d |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,-2 w^5 + 12 w^3 - 2 w^2 - 17 w + 5]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.4-a |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,w^5 - 5 w^3 + 2 w^2 + 5 w - 5]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.4-b |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,w^5 - 5 w^3 + 2 w^2 + 5 w - 5]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.4-c |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,w^5 - 5 w^3 + 2 w^2 + 5 w - 5]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.4-d |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,w^5 - 5 w^3 + 2 w^2 + 5 w - 5]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.5-a |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,-w^4 - 2 w^3 + 4 w^2 + 6 w - 3]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.5-b |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,-w^4 - 2 w^3 + 4 w^2 + 6 w - 3]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.5-c |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,-w^4 - 2 w^3 + 4 w^2 + 6 w - 3]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.5-d |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,-w^4 - 2 w^3 + 4 w^2 + 6 w - 3]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.6-a |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,2 w^5 - 10 w^3 + w^2 + 10 w - 3]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.6-b |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,2 w^5 - 10 w^3 + w^2 + 10 w - 3]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.6-c |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,2 w^5 - 10 w^3 + w^2 + 10 w - 3]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 41.6-d |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[41,41,2 w^5 - 10 w^3 + w^2 + 10 w - 3]$ |
$41$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.1-a |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43, 43, -w^5 + w^4 + 6 w^3 - 5 w^2 - 9 w + 4]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.1-b |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43, 43, -w^5 + w^4 + 6 w^3 - 5 w^2 - 9 w + 4]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.1-c |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43, 43, -w^5 + w^4 + 6 w^3 - 5 w^2 - 9 w + 4]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 43.1-d |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43, 43, -w^5 + w^4 + 6 w^3 - 5 w^2 - 9 w + 4]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 43.1-e |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43, 43, -w^5 + w^4 + 6 w^3 - 5 w^2 - 9 w + 4]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 43.2-a |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,-w^4 - w^3 + 4 w^2 + 4 w - 3]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.2-b |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,-w^4 - w^3 + 4 w^2 + 4 w - 3]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.2-c |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,-w^4 - w^3 + 4 w^2 + 4 w - 3]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 43.2-d |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,-w^4 - w^3 + 4 w^2 + 4 w - 3]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 43.2-e |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,-w^4 - w^3 + 4 w^2 + 4 w - 3]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 43.3-a |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,w^4 - 3 w^2 - 1]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.3-b |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,w^4 - 3 w^2 - 1]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.3-c |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,w^4 - 3 w^2 - 1]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 43.3-d |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,w^4 - 3 w^2 - 1]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 43.3-e |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,w^4 - 3 w^2 - 1]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 43.4-a |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,w^3 - w^2 - 4 w + 2]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.4-b |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,w^3 - w^2 - 4 w + 2]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.4-c |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,w^3 - w^2 - 4 w + 2]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 43.4-d |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,w^3 - w^2 - 4 w + 2]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 43.4-e |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,w^3 - w^2 - 4 w + 2]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
|
| 43.5-a |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,w^5 - w^4 - 6 w^3 + 4 w^2 + 8 w - 3]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 43.5-b |
\(\Q(\zeta_{21})^+\) |
$6$ |
$453789$ |
$[43,43,w^5 - w^4 - 6 w^3 + 4 w^2 + 8 w - 3]$ |
$43$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|