| Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
| 1.1-a |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2, 2, 2]$ |
$4$ |
|
✓ |
| 8.1-a |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[8, 2, w^{3} - 3w - 1]$ |
$8$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 8.1-b |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[8, 2, w^{3} - 3w - 1]$ |
$8$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |
| 9.1-a |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[9, 3, -w^{4} + 5w^{2} - 3]$ |
$9$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
| 9.1-b |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[9, 3, -w^{4} + 5w^{2} - 3]$ |
$9$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
|
✓ |
| 9.1-c |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[9, 3, -w^{4} + 5w^{2} - 3]$ |
$9$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
✓ |
✓ |
| 24.1-a |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[24, 6, w^{5} - w^{4} - 4w^{3} + 4w^{2} + 2w - 3]$ |
$24$ |
$[2, 2, 2, 2, 2, 2]$ |
$6$ |
|
|
| 24.1-b |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[24, 6, w^{5} - w^{4} - 4w^{3} + 4w^{2} + 2w - 3]$ |
$24$ |
$[2, 2, 2, 2, 2, 2]$ |
$6$ |
|
|
| 27.1-a |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[27, 3, w^{3} - 3w]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-b |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[27, 3, w^{3} - 3w]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-c |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[27, 3, w^{3} - 3w]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-d |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[27, 3, w^{3} - 3w]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-e |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[27, 3, w^{3} - 3w]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-f |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[27, 3, w^{3} - 3w]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-g |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[27, 3, w^{3} - 3w]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-h |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[27, 3, w^{3} - 3w]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-i |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[27, 3, w^{3} - 3w]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-j |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[27, 3, w^{3} - 3w]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-k |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[27, 3, w^{3} - 3w]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 27.1-l |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[27, 3, w^{3} - 3w]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 37.1-a |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37, 37, w^{4} - 5w^{2} - w + 5]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 37.1-b |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37, 37, w^{4} - 5w^{2} - w + 5]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 37.1-c |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37, 37, w^{4} - 5w^{2} - w + 5]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 37.1-d |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37, 37, w^{4} - 5w^{2} - w + 5]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 37.1-e |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37, 37, w^{4} - 5w^{2} - w + 5]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$22$ |
|
|
| 37.2-a |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,-w^{5} + 5w^{3} + w^{2} - 4w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 37.2-b |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,-w^{5} + 5w^{3} + w^{2} - 4w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 37.2-c |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,-w^{5} + 5w^{3} + w^{2} - 4w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 37.2-d |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,-w^{5} + 5w^{3} + w^{2} - 4w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 37.2-e |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,-w^{5} + 5w^{3} + w^{2} - 4w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$22$ |
|
|
| 37.3-a |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,w^{5} - w^{4} - 5w^{3} + 4w^{2} + 5w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 37.3-b |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,w^{5} - w^{4} - 5w^{3} + 4w^{2} + 5w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 37.3-c |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,w^{5} - w^{4} - 5w^{3} + 4w^{2} + 5w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 37.3-d |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,w^{5} - w^{4} - 5w^{3} + 4w^{2} + 5w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 37.3-e |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,w^{5} - w^{4} - 5w^{3} + 4w^{2} + 5w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$22$ |
|
|
| 37.4-a |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 5w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 37.4-b |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 5w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 37.4-c |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 5w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 37.4-d |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 5w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 37.4-e |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 5w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$22$ |
|
|
| 37.5-a |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,w^{5} - 5w^{3} + w^{2} + 4w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 37.5-b |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,w^{5} - 5w^{3} + w^{2} + 4w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 37.5-c |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,w^{5} - 5w^{3} + w^{2} + 4w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 37.5-d |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,w^{5} - 5w^{3} + w^{2} + 4w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 37.5-e |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,w^{5} - 5w^{3} + w^{2} + 4w - 1]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$22$ |
|
|
| 37.6-a |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,w^{4} - 5w^{2} + w + 5]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 37.6-b |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,w^{4} - 5w^{2} + w + 5]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
| 37.6-c |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,w^{4} - 5w^{2} + w + 5]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 37.6-d |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,w^{4} - 5w^{2} + w + 5]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
| 37.6-e |
\(\Q(\zeta_{36})^+\) |
$6$ |
$1259712$ |
$[37,37,w^{4} - 5w^{2} + w + 5]$ |
$37$ |
$[2, 2, 2, 2, 2, 2]$ |
$22$ |
|
|
