| Label |
Level |
Weight |
Char |
Prim |
Char order |
Dim |
Rel. Dim |
$A$ |
Field |
Image |
CM |
RM |
Self-dual |
Inner twists |
Rank* |
Traces |
Coefficient ring index |
Sato-Tate |
$q$-expansion |
| $a_{2}$ |
$a_{3}$ |
$a_{5}$ |
$a_{7}$ |
| 1488.1.b.a |
$1488$ |
$1$ |
1488.b |
372.b |
$2$ |
$1$ |
$1$ |
$0.743$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-93}) \) |
\(\Q(\sqrt{31}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(-1\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-q^{3}+q^{9}+q^{25}-q^{27}+q^{31}+2q^{43}+\cdots\) |
| 1488.1.b.b |
$1488$ |
$1$ |
1488.b |
372.b |
$2$ |
$1$ |
$1$ |
$0.743$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-93}) \) |
\(\Q(\sqrt{31}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(1\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+q^{3}+q^{9}+q^{25}+q^{27}-q^{31}-2q^{43}+\cdots\) |
| 1860.1.l.a |
$1860$ |
$1$ |
1860.l |
1860.l |
$2$ |
$1$ |
$1$ |
$0.928$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-465}) \) |
\(\Q(\sqrt{31}) \) |
✓ |
$4$ |
$0$ |
\(-1\) |
\(-1\) |
\(1\) |
\(0\) |
$1$ |
|
\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\) |
| 1860.1.l.b |
$1860$ |
$1$ |
1860.l |
1860.l |
$2$ |
$1$ |
$1$ |
$0.928$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-465}) \) |
\(\Q(\sqrt{31}) \) |
✓ |
$4$ |
$0$ |
\(-1\) |
\(1\) |
\(1\) |
\(0\) |
$1$ |
|
\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\) |
| 1860.1.l.c |
$1860$ |
$1$ |
1860.l |
1860.l |
$2$ |
$1$ |
$1$ |
$0.928$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-465}) \) |
\(\Q(\sqrt{31}) \) |
✓ |
$4$ |
$0$ |
\(1\) |
\(-1\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\) |
| 1860.1.l.d |
$1860$ |
$1$ |
1860.l |
1860.l |
$2$ |
$1$ |
$1$ |
$0.928$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-465}) \) |
\(\Q(\sqrt{31}) \) |
✓ |
$4$ |
$0$ |
\(1\) |
\(1\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\) |
| 2852.1.g.a |
$2852$ |
$1$ |
2852.g |
2852.g |
$2$ |
$1$ |
$1$ |
$1.423$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-713}) \) |
\(\Q(\sqrt{31}) \) |
✓ |
$4$ |
$0$ |
\(-1\) |
\(-2\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+3q^{9}+\cdots\) |
| 2852.1.g.b |
$2852$ |
$1$ |
2852.g |
2852.g |
$2$ |
$1$ |
$1$ |
$1.423$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-713}) \) |
\(\Q(\sqrt{31}) \) |
✓ |
$4$ |
$0$ |
\(-1\) |
\(2\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{8}+3q^{9}+\cdots\) |
| 3844.1.b.a |
$3844$ |
$1$ |
3844.b |
4.b |
$2$ |
$1$ |
$1$ |
$1.918$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-31}) \) |
\(\Q(\sqrt{31}) \) |
✓ |
$4$ |
$0$ |
\(1\) |
\(0\) |
\(-2\) |
\(0\) |
$1$ |
|
\(q+q^{2}+q^{4}-2q^{5}+q^{8}+q^{9}-2q^{10}+\cdots\) |
| 3844.1.i.c |
$3844$ |
$1$ |
3844.i |
124.i |
$6$ |
$2$ |
$1$ |
$1.918$ |
\(\Q(\sqrt{-3}) \) |
$D_{2}$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-31}) \) |
\(\Q(\sqrt{31}) \) |
|
$8$ |
$0$ |
\(2\) |
\(0\) |
\(2\) |
\(0\) |
$1$ |
|
\(q+q^{2}+q^{4}-\zeta_{6}^{2}q^{5}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots\) |
| 3844.1.l.a |
$3844$ |
$1$ |
3844.l |
124.l |
$10$ |
$4$ |
$1$ |
$1.918$ |
\(\Q(\zeta_{10})\) |
$D_{2}$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-31}) \) |
\(\Q(\sqrt{31}) \) |
|
$16$ |
$0$ |
\(-1\) |
\(0\) |
\(-8\) |
\(0\) |
$1$ |
|
\(q-\zeta_{10}q^{2}+\zeta_{10}^{2}q^{4}-q^{5}-\zeta_{10}^{3}q^{8}+\cdots\) |
| 3844.1.n.a |
$3844$ |
$1$ |
3844.n |
124.n |
$30$ |
$8$ |
$1$ |
$1.918$ |
\(\Q(\zeta_{15})\) |
$D_{2}$ |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-31}) \) |
\(\Q(\sqrt{31}) \) |
|
$32$ |
$0$ |
\(-2\) |
\(0\) |
\(8\) |
\(0\) |
$1$ |
|
\(q-\zeta_{30}^{9}q^{2}-\zeta_{30}^{3}q^{4}+\zeta_{30}^{5}q^{5}+\cdots\) |
