| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 8.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[8, 2, 2]$ |
$8$ |
$[2, 2, 2]$ |
$1$ |
|
✓ |
| 17.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[17, 17, -2 w^2 + w + 3]$ |
$17$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 17.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[17,17,w^2 + w - 3]$ |
$17$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 17.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[17,17,w^2 - 2 w - 3]$ |
$17$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 27.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[27, 3, 3]$ |
$27$ |
$[2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 51.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[51, 51, -3 w^2 + 2 w + 4]$ |
$51$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 51.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[51,51,2 w^2 + w - 6]$ |
$51$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 51.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[51,51,w^2 - 3 w - 4]$ |
$51$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 53.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[53, 53, -w - 4]$ |
$53$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 53.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[53,53,-w^2 + w - 2]$ |
$53$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 53.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[53,53,w^2 - 6]$ |
$53$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 57.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[57, 57, -2 w^2 + 3 w + 5]$ |
$57$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 57.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[57,57,-w^2 - 2 w + 3]$ |
$57$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 57.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[57,57,3 w^2 - w - 5]$ |
$57$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 64.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[64, 4, 4]$ |
$64$ |
$[2, 2, 2]$ |
$1$ |
|
✓ |
| 71.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[71, 71, w^2 + w - 7]$ |
$71$ |
$[2, 2, 2]$ |
$3$ |
|
|
| 71.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[71,71,w^2 - 2 w - 7]$ |
$71$ |
$[2, 2, 2]$ |
$3$ |
|
|
| 71.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[71,71,-2 w^2 + w - 1]$ |
$71$ |
$[2, 2, 2]$ |
$3$ |
|
|
| 72.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[72, 6, -2 w^2 - 2 w + 4]$ |
$72$ |
$[2, 2, 2]$ |
$1$ |
|
✓ |
| 73.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[73, 73, 3 w^2 - 3 w - 8]$ |
$73$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 73.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[73,73,3 w - 2]$ |
$73$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 73.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[73,73,-3 w^2 + 4]$ |
$73$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 81.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[81, 9, -3 w + 3]$ |
$81$ |
$[2, 2, 2]$ |
$2$ |
|
✓ |
| 89.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[89, 89, -w^2 + 4 w + 4]$ |
$89$ |
$[2, 2, 2]$ |
$3$ |
|
|
| 89.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[89,89,-3 w^2 - w + 8]$ |
$89$ |
$[2, 2, 2]$ |
$3$ |
|
|
| 89.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[89,89,4 w^2 - 3 w - 6]$ |
$89$ |
$[2, 2, 2]$ |
$3$ |
|
|
| 107.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[107, 107, 2 w^2 - 4 w - 5]$ |
$107$ |
$[2, 2, 2]$ |
$4$ |
|
|
| 107.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[107,107,-4 w^2 + 2 w + 7]$ |
$107$ |
$[2, 2, 2]$ |
$4$ |
|
|
| 107.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[107,107,2 w^2 + 2 w - 5]$ |
$107$ |
$[2, 2, 2]$ |
$4$ |
|
|
| 109.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[109, 109, w^2 - w - 7]$ |
$109$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 109.1-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[109, 109, w^2 - w - 7]$ |
$109$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 109.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[109,109,-w^2 - 3]$ |
$109$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 109.2-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[109,109,-w^2 - 3]$ |
$109$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 109.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[109,109,w - 5]$ |
$109$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 109.3-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[109,109,w - 5]$ |
$109$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 111.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[111, 111, -4 w^2 + 3 w + 4]$ |
$111$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 111.1-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[111, 111, -4 w^2 + 3 w + 4]$ |
$111$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 111.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[111,111,3 w^2 + w - 10]$ |
$111$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 111.2-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[111,111,3 w^2 + w - 10]$ |
$111$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 111.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[111,111,w^2 - 4 w - 6]$ |
$111$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 111.3-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[111,111,w^2 - 4 w - 6]$ |
$111$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 125.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[125, 5, -5]$ |
$125$ |
$[2, 2, 2]$ |
$1$ |
|
✓ |
| 125.1-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[125, 5, -5]$ |
$125$ |
$[2, 2, 2]$ |
$3$ |
|
✓ |
| 127.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[127, 127, -5 w^2 + 4 w + 8]$ |
$127$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 127.1-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[127, 127, -5 w^2 + 4 w + 8]$ |
$127$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 127.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[127,127,4 w^2 + w - 10]$ |
$127$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 127.2-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[127,127,4 w^2 + w - 10]$ |
$127$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 127.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[127,127,w^2 - 5 w - 4]$ |
$127$ |
$[2, 2, 2]$ |
$1$ |
|
|
| 127.3-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[127,127,w^2 - 5 w - 4]$ |
$127$ |
$[2, 2, 2]$ |
$2$ |
|
|
| 136.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[136, 34, -4 w^2 + 2 w + 6]$ |
$136$ |
$[2, 2, 2]$ |
$1$ |
|
|