Label |
Base field |
Field degree |
Field discriminant |
Level |
Level norm |
Weight |
Dimension |
CM |
Base change |
1.1-a |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
1.1-b |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[1, 1, 1]$ |
$1$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
✓ |
✓ |
8.1-a |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[8, 2, w^{3} + w^{2} - 2w - 1]$ |
$8$ |
$[2, 2, 2, 2, 2, 2]$ |
$4$ |
|
✓ |
27.1-a |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[27, 3, -w^{5} - w^{4} + 5w^{3} + 5w^{2} - 5w - 6]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
27.1-b |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[27, 3, -w^{5} - w^{4} + 5w^{3} + 5w^{2} - 5w - 6]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
✓ |
27.1-c |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[27, 3, -w^{5} - w^{4} + 5w^{3} + 5w^{2} - 5w - 6]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
✓ |
27.1-d |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[27, 3, -w^{5} - w^{4} + 5w^{3} + 5w^{2} - 5w - 6]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
27.2-a |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[27,3,w^{5} - w^{4} - 5w^{3} + 5w^{2} + 5w - 6]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
27.2-b |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[27,3,w^{5} - w^{4} - 5w^{3} + 5w^{2} + 5w - 6]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
✓ |
27.2-c |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[27,3,w^{5} - w^{4} - 5w^{3} + 5w^{2} + 5w - 6]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
✓ |
27.2-d |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[27,3,w^{5} - w^{4} - 5w^{3} + 5w^{2} + 5w - 6]$ |
$27$ |
$[2, 2, 2, 2, 2, 2]$ |
$3$ |
|
|
29.1-a |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29, 29, w^{2} + w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.1-b |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29, 29, w^{2} + w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.1-c |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29, 29, w^{2} + w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.1-d |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29, 29, w^{2} + w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.1-e |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29, 29, w^{2} + w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$12$ |
|
|
29.2-a |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{4} + w^{3} - 5w^{2} - 3w + 4]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.2-b |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{4} + w^{3} - 5w^{2} - 3w + 4]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.2-c |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{4} + w^{3} - 5w^{2} - 3w + 4]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.2-d |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{4} + w^{3} - 5w^{2} - 3w + 4]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.2-e |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{4} + w^{3} - 5w^{2} - 3w + 4]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$12$ |
|
|
29.3-a |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 5w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.3-b |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 5w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.3-c |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 5w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.3-d |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 5w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.3-e |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 5w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$12$ |
|
|
29.4-a |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{5} - w^{4} - 5w^{3} + 4w^{2} + 5w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.4-b |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{5} - w^{4} - 5w^{3} + 4w^{2} + 5w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.4-c |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{5} - w^{4} - 5w^{3} + 4w^{2} + 5w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.4-d |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{5} - w^{4} - 5w^{3} + 4w^{2} + 5w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.4-e |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{5} - w^{4} - 5w^{3} + 4w^{2} + 5w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$12$ |
|
|
29.5-a |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{4} - w^{3} - 5w^{2} + 3w + 4]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.5-b |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{4} - w^{3} - 5w^{2} + 3w + 4]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.5-c |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{4} - w^{3} - 5w^{2} + 3w + 4]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.5-d |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{4} - w^{3} - 5w^{2} + 3w + 4]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.5-e |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{4} - w^{3} - 5w^{2} + 3w + 4]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$12$ |
|
|
29.6-a |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{2} - w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.6-b |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{2} - w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.6-c |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{2} - w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.6-d |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{2} - w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
|
29.6-e |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[29,29,w^{2} - w - 3]$ |
$29$ |
$[2, 2, 2, 2, 2, 2]$ |
$12$ |
|
|
49.1-a |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[49, 7, -w^{4} + 3w^{2}]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
49.1-b |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[49, 7, -w^{4} + 3w^{2}]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
✓ |
✓ |
49.1-c |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[49, 7, -w^{4} + 3w^{2}]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
✓ |
✓ |
49.1-d |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[49, 7, -w^{4} + 3w^{2}]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$4$ |
|
✓ |
49.1-e |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[49, 7, -w^{4} + 3w^{2}]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$4$ |
|
✓ |
49.1-f |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[49, 7, -w^{4} + 3w^{2}]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$6$ |
|
✓ |
49.1-g |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[49, 7, -w^{4} + 3w^{2}]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$6$ |
✓ |
✓ |
49.1-h |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[49, 7, -w^{4} + 3w^{2}]$ |
$49$ |
$[2, 2, 2, 2, 2, 2]$ |
$6$ |
|
|
56.1-a |
\(\Q(\zeta_{28})^+\) |
$6$ |
$1075648$ |
$[56, 14, -w^{5} - w^{4} + 4w^{3} + 3w^{2} - 2w]$ |
$56$ |
$[2, 2, 2, 2, 2, 2]$ |
$1$ |
|
✓ |