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 |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[25, 5, -2w^{3} + 6w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
25.1-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[25, 5, -2w^{3} + 6w - 1]$ |
$25$ |
$[2, 2, 2, 2]$ |
$1$ |
✓ |
✓ |
31.1-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31, 31, -2w + 1]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.1-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31, 31, -2w + 1]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.2-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31,31,-2w^{2} + 5]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.2-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31,31,-2w^{2} + 5]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.3-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31,31,2w^{3} + 2w^{2} - 6w - 3]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.3-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31,31,2w^{3} + 2w^{2} - 6w - 3]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.4-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31,31,-2w^{3} + 8w - 1]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
31.4-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[31,31,-2w^{3} + 8w - 1]$ |
$31$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
45.1-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[45, 15, w^{3} + 2w^{2} - 3w - 4]$ |
$45$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
45.1-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[45, 15, w^{3} + 2w^{2} - 3w - 4]$ |
$45$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
61.1-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61, 61, 4w^{3} + w^{2} - 13w - 1]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
61.1-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61, 61, 4w^{3} + w^{2} - 13w - 1]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
61.2-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61,61,2w^{3} - w^{2} - 5w + 2]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
61.2-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61,61,2w^{3} - w^{2} - 5w + 2]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
61.3-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61,61,-3w^{3} - w^{2} + 8w]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
61.3-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61,61,-3w^{3} - w^{2} + 8w]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
61.4-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61,61,-3w^{3} + w^{2} + 10w - 5]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
61.4-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[61,61,-3w^{3} + w^{2} + 10w - 5]$ |
$61$ |
$[2, 2, 2, 2]$ |
$2$ |
|
|
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 |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[89,89,2w^{2} - w - 6]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
89.2-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[89,89,2w^{2} - w - 6]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
89.3-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[89,89,-3w^{3} - 2w^{2} + 10w + 1]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
89.3-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[89,89,-3w^{3} - 2w^{2} + 10w + 1]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
89.4-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[89,89,2w^{3} - w^{2} - 8w + 2]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
89.4-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[89,89,2w^{3} - w^{2} - 8w + 2]$ |
$89$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
121.1-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[121, 11, -w^{3} + 3w + 3]$ |
$121$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
121.2-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[121,11,w^{3} - 3w + 4]$ |
$121$ |
$[2, 2, 2, 2]$ |
$6$ |
|
✓ |
144.1-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[144, 6, 2w^{3} + 2w^{2} - 8w - 6]$ |
$144$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
144.1-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[144, 6, 2w^{3} + 2w^{2} - 8w - 6]$ |
$144$ |
$[2, 2, 2, 2]$ |
$1$ |
|
✓ |
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 |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,w^{3} - 4w - 3]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
145.2-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,w^{3} - 4w - 3]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
145.2-c |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,w^{3} - 4w - 3]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
145.2-d |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,w^{3} - 4w - 3]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
145.2-e |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,w^{3} - 4w - 3]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
145.2-f |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,w^{3} - 4w - 3]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
145.3-a |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,-w^{3} - w^{2} + 3w - 2]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|
145.3-b |
\(\Q(\zeta_{15})^+\) |
$4$ |
$1125$ |
$[145,145,-w^{3} - w^{2} + 3w - 2]$ |
$145$ |
$[2, 2, 2, 2]$ |
$1$ |
|
|