| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 16.1-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[16, 2, 2]$ |
$16$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 25.1-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[25, 5, -2 w^3 + 6 w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 25.1-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[25, 5, -2 w^3 + 6 w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 31.1-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31, 31, -2 w + 1]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 31.1-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31, 31, -2 w + 1]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 31.2-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31,31,-2 w^2 + 5]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 31.2-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31,31,-2 w^2 + 5]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 31.3-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31,31,2 w^3 + 2 w^2 - 6 w - 3]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 31.3-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31,31,2 w^3 + 2 w^2 - 6 w - 3]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 31.4-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31,31,-2 w^3 + 8 w - 1]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 31.4-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31,31,-2 w^3 + 8 w - 1]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 45.1-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[45, 15, w^3 + 2 w^2 - 3 w - 4]$ |
$45$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 45.1-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[45, 15, w^3 + 2 w^2 - 3 w - 4]$ |
$45$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 61.1-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61, 61, 4 w^3 + w^2 - 13 w - 1]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 61.1-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61, 61, 4 w^3 + w^2 - 13 w - 1]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 61.2-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61,61,2 w^3 - w^2 - 5 w + 2]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 61.2-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61,61,2 w^3 - w^2 - 5 w + 2]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 61.3-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61,61,-3 w^3 - w^2 + 8 w]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 61.3-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61,61,-3 w^3 - w^2 + 8 w]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 61.4-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61,61,-3 w^3 + w^2 + 10 w - 5]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 61.4-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61,61,-3 w^3 + w^2 + 10 w - 5]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
| 81.1-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[81, 3, -3]$ |
$81$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 81.1-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[81, 3, -3]$ |
$81$ |
$[2, 2, 2, 2]$ |
$2$ |
✓ |
✓ |
| 81.1-c |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[81, 3, -3]$ |
$81$ |
$[2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 89.1-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[89, 89, w^3 + w^2 - w - 4]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 89.1-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[89, 89, w^3 + w^2 - w - 4]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 89.2-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[89,89,2 w^2 - w - 6]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 89.2-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[89,89,2 w^2 - w - 6]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 89.3-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[89,89,-3 w^3 - 2 w^2 + 10 w + 1]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 89.3-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[89,89,-3 w^3 - 2 w^2 + 10 w + 1]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 89.4-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[89,89,2 w^3 - w^2 - 8 w + 2]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 89.4-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[89,89,2 w^3 - w^2 - 8 w + 2]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 121.1-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[121, 11, -w^3 + 3 w + 3]$ |
$121$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 121.2-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[121,11,w^3 - 3 w + 4]$ |
$121$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
| 144.1-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[144, 6, 2 w^3 + 2 w^2 - 8 w - 6]$ |
$144$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 144.1-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[144, 6, 2 w^3 + 2 w^2 - 8 w - 6]$ |
$144$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 145.1-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145, 145, w^2 - 6]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 145.1-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145, 145, w^2 - 6]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 145.1-c |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145, 145, w^2 - 6]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 145.1-d |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145, 145, w^2 - 6]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 145.1-e |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145, 145, w^2 - 6]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 145.1-f |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145, 145, w^2 - 6]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 145.2-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,w^3 - 4 w - 3]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 145.2-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,w^3 - 4 w - 3]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 145.2-c |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,w^3 - 4 w - 3]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 145.2-d |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,w^3 - 4 w - 3]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 145.2-e |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,w^3 - 4 w - 3]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 145.2-f |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,w^3 - 4 w - 3]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 145.3-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,-w^3 - w^2 + 3 w - 2]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
| 145.3-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,-w^3 - w^2 + 3 w - 2]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|