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 |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[17, 17, -2w^{2} + w + 3]$ |
$17$ |
$[2, 2, 2]$ |
$1$ |
|
|
17.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[17,17,w^{2} + w - 3]$ |
$17$ |
$[2, 2, 2]$ |
$1$ |
|
|
17.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[17,17,w^{2} - 2w - 3]$ |
$17$ |
$[2, 2, 2]$ |
$1$ |
|
|
27.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[27, 3, 3]$ |
$27$ |
$[2, 2, 2]$ |
$1$ |
✓ |
✓ |
51.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[51, 51, -3w^{2} + 2w + 4]$ |
$51$ |
$[2, 2, 2]$ |
$1$ |
|
|
51.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[51,51,2w^{2} + w - 6]$ |
$51$ |
$[2, 2, 2]$ |
$1$ |
|
|
51.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[51,51,w^{2} - 3w - 4]$ |
$51$ |
$[2, 2, 2]$ |
$1$ |
|
|
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 |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[57, 57, -2w^{2} + 3w + 5]$ |
$57$ |
$[2, 2, 2]$ |
$1$ |
|
|
57.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[57,57,-w^{2} - 2w + 3]$ |
$57$ |
$[2, 2, 2]$ |
$1$ |
|
|
57.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[57,57,3w^{2} - w - 5]$ |
$57$ |
$[2, 2, 2]$ |
$1$ |
|
|
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 |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[71,71,w^{2} - 2w - 7]$ |
$71$ |
$[2, 2, 2]$ |
$3$ |
|
|
71.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[71,71,-2w^{2} + w - 1]$ |
$71$ |
$[2, 2, 2]$ |
$3$ |
|
|
72.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[72, 6, -2w^{2} - 2w + 4]$ |
$72$ |
$[2, 2, 2]$ |
$1$ |
|
✓ |
73.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[73, 73, 3w^{2} - 3w - 8]$ |
$73$ |
$[2, 2, 2]$ |
$1$ |
|
|
73.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[73,73,3w - 2]$ |
$73$ |
$[2, 2, 2]$ |
$1$ |
|
|
73.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[73,73,-3w^{2} + 4]$ |
$73$ |
$[2, 2, 2]$ |
$1$ |
|
|
81.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[81, 9, -3w + 3]$ |
$81$ |
$[2, 2, 2]$ |
$2$ |
|
✓ |
89.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[89, 89, -w^{2} + 4w + 4]$ |
$89$ |
$[2, 2, 2]$ |
$3$ |
|
|
89.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[89,89,-3w^{2} - w + 8]$ |
$89$ |
$[2, 2, 2]$ |
$3$ |
|
|
89.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[89,89,4w^{2} - 3w - 6]$ |
$89$ |
$[2, 2, 2]$ |
$3$ |
|
|
107.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[107, 107, 2w^{2} - 4w - 5]$ |
$107$ |
$[2, 2, 2]$ |
$4$ |
|
|
107.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[107,107,-4w^{2} + 2w + 7]$ |
$107$ |
$[2, 2, 2]$ |
$4$ |
|
|
107.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[107,107,2w^{2} + 2w - 5]$ |
$107$ |
$[2, 2, 2]$ |
$4$ |
|
|
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 |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[111, 111, -4w^{2} + 3w + 4]$ |
$111$ |
$[2, 2, 2]$ |
$1$ |
|
|
111.1-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[111, 111, -4w^{2} + 3w + 4]$ |
$111$ |
$[2, 2, 2]$ |
$2$ |
|
|
111.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[111,111,3w^{2} + w - 10]$ |
$111$ |
$[2, 2, 2]$ |
$1$ |
|
|
111.2-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[111,111,3w^{2} + w - 10]$ |
$111$ |
$[2, 2, 2]$ |
$2$ |
|
|
111.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[111,111,w^{2} - 4w - 6]$ |
$111$ |
$[2, 2, 2]$ |
$1$ |
|
|
111.3-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[111,111,w^{2} - 4w - 6]$ |
$111$ |
$[2, 2, 2]$ |
$2$ |
|
|
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 |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[127, 127, -5w^{2} + 4w + 8]$ |
$127$ |
$[2, 2, 2]$ |
$1$ |
|
|
127.1-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[127, 127, -5w^{2} + 4w + 8]$ |
$127$ |
$[2, 2, 2]$ |
$2$ |
|
|
127.2-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[127,127,4w^{2} + w - 10]$ |
$127$ |
$[2, 2, 2]$ |
$1$ |
|
|
127.2-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[127,127,4w^{2} + w - 10]$ |
$127$ |
$[2, 2, 2]$ |
$2$ |
|
|
127.3-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[127,127,w^{2} - 5w - 4]$ |
$127$ |
$[2, 2, 2]$ |
$1$ |
|
|
127.3-b |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[127,127,w^{2} - 5w - 4]$ |
$127$ |
$[2, 2, 2]$ |
$2$ |
|
|
136.1-a |
\(\Q(\zeta_{9})^+\) |
$3$ |
$81$ |
$[136, 34, -4w^{2} + 2w + 6]$ |
$136$ |
$[2, 2, 2]$ |
$1$ |
|
|