| 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 |
| $a_{2}$ |
$a_{3}$ |
$a_{5}$ |
$a_{7}$ |
| 912.1.b.a |
$912$ |
$1$ |
912.b |
228.b |
$2$ |
$1$ |
$1$ |
$0.455$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-57}) \) |
\(\Q(\sqrt{19}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(-1\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-q^{3}+q^{9}+q^{19}+q^{25}-q^{27}+2q^{31}+\cdots\) |
| 912.1.b.b |
$912$ |
$1$ |
912.b |
228.b |
$2$ |
$1$ |
$1$ |
$0.455$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-57}) \) |
\(\Q(\sqrt{19}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(1\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+q^{3}+q^{9}-q^{19}+q^{25}+q^{27}-2q^{31}+\cdots\) |
| 1140.1.p.a |
$1140$ |
$1$ |
1140.p |
1140.p |
$2$ |
$1$ |
$1$ |
$0.569$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-285}) \) |
\(\Q(\sqrt{19}) \) |
✓ |
$4$ |
$0$ |
\(-1\) |
\(1\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\) |
| 1140.1.p.b |
$1140$ |
$1$ |
1140.p |
1140.p |
$2$ |
$1$ |
$1$ |
$0.569$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-285}) \) |
\(\Q(\sqrt{19}) \) |
✓ |
$4$ |
$0$ |
\(-1\) |
\(1\) |
\(1\) |
\(0\) |
$1$ |
|
\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\) |
| 1140.1.p.c |
$1140$ |
$1$ |
1140.p |
1140.p |
$2$ |
$1$ |
$1$ |
$0.569$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-285}) \) |
\(\Q(\sqrt{19}) \) |
✓ |
$4$ |
$0$ |
\(1\) |
\(-1\) |
\(-1\) |
\(0\) |
$1$ |
|
\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\) |
| 1140.1.p.d |
$1140$ |
$1$ |
1140.p |
1140.p |
$2$ |
$1$ |
$1$ |
$0.569$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-285}) \) |
\(\Q(\sqrt{19}) \) |
✓ |
$4$ |
$0$ |
\(1\) |
\(-1\) |
\(1\) |
\(0\) |
$1$ |
|
\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\) |
| 2356.1.c.a |
$2356$ |
$1$ |
2356.c |
2356.c |
$2$ |
$1$ |
$1$ |
$1.176$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-589}) \) |
\(\Q(\sqrt{19}) \) |
✓ |
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(-2\) |
\(0\) |
$1$ |
|
\(q-q^{2}+q^{4}-2q^{5}-q^{8}+q^{9}+2q^{10}+\cdots\) |
| 2356.1.c.b |
$2356$ |
$1$ |
2356.c |
2356.c |
$2$ |
$1$ |
$1$ |
$1.176$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-589}) \) |
\(\Q(\sqrt{19}) \) |
✓ |
$4$ |
$0$ |
\(1\) |
\(0\) |
\(-2\) |
\(0\) |
$1$ |
|
\(q+q^{2}+q^{4}-2q^{5}+q^{8}+q^{9}-2q^{10}+\cdots\) |
| 2356.1.bx.a |
$2356$ |
$1$ |
2356.bx |
2356.ax |
$10$ |
$4$ |
$1$ |
$1.176$ |
\(\Q(\zeta_{10})\) |
$D_{10}$ |
None |
\(\Q(\sqrt{19}) \) |
|
$4$ |
$0$ |
\(-1\) |
\(5\) |
\(2\) |
\(0\) |
$1$ |
|
\(q+\zeta_{10}^{4}q^{2}+(1-\zeta_{10}^{2})q^{3}-\zeta_{10}^{3}q^{4}+\cdots\) |
| 2356.1.bx.b |
$2356$ |
$1$ |
2356.bx |
2356.ax |
$10$ |
$4$ |
$1$ |
$1.176$ |
\(\Q(\zeta_{10})\) |
$D_{10}$ |
None |
\(\Q(\sqrt{19}) \) |
|
$4$ |
$0$ |
\(1\) |
\(-5\) |
\(2\) |
\(0\) |
$1$ |
|
\(q-\zeta_{10}^{4}q^{2}+(-1+\zeta_{10}^{2})q^{3}-\zeta_{10}^{3}q^{4}+\cdots\) |
| 2432.1.g.a |
$2432$ |
$1$ |
2432.g |
152.g |
$2$ |
$1$ |
$1$ |
$1.214$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-38}) \) |
\(\Q(\sqrt{19}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(-2\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-2q^{3}+3q^{9}-2q^{17}+q^{19}+q^{25}+\cdots\) |
| 2432.1.g.b |
$2432$ |
$1$ |
2432.g |
152.g |
$2$ |
$1$ |
$1$ |
$1.214$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-38}) \) |
\(\Q(\sqrt{19}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(2\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+2q^{3}+3q^{9}-2q^{17}-q^{19}+q^{25}+\cdots\) |
| 3648.1.b.a |
$3648$ |
$1$ |
3648.b |
228.b |
$2$ |
$1$ |
$1$ |
$1.821$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-57}) \) |
\(\Q(\sqrt{19}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(-1\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-q^{3}+q^{9}+q^{19}+q^{25}-q^{27}-2q^{31}+\cdots\) |
| 3648.1.b.b |
$3648$ |
$1$ |
3648.b |
228.b |
$2$ |
$1$ |
$1$ |
$1.821$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-57}) \) |
\(\Q(\sqrt{19}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(1\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+q^{3}+q^{9}-q^{19}+q^{25}+q^{27}+2q^{31}+\cdots\) |
| 3876.1.bv.a |
$3876$ |
$1$ |
3876.bv |
3876.av |
$8$ |
$4$ |
$1$ |
$1.934$ |
\(\Q(\zeta_{8})\) |
$D_{8}$ |
None |
\(\Q(\sqrt{19}) \) |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
$1$ |
|
\(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{3}+\zeta_{8}^{2}q^{4}+(-1+\cdots)q^{5}+\cdots\) |
| 3876.1.bv.b |
$3876$ |
$1$ |
3876.bv |
3876.av |
$8$ |
$4$ |
$1$ |
$1.934$ |
\(\Q(\zeta_{8})\) |
$D_{8}$ |
None |
\(\Q(\sqrt{19}) \) |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
$1$ |
|
\(q+\zeta_{8}q^{2}-\zeta_{8}^{2}q^{3}+\zeta_{8}^{2}q^{4}+(-1+\cdots)q^{5}+\cdots\) |
| 3876.1.bv.c |
$3876$ |
$1$ |
3876.bv |
3876.av |
$8$ |
$4$ |
$1$ |
$1.934$ |
\(\Q(\zeta_{8})\) |
$D_{8}$ |
None |
\(\Q(\sqrt{19}) \) |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
$1$ |
|
\(q-\zeta_{8}q^{2}+\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{4}+(1+\zeta_{8}+\cdots)q^{5}+\cdots\) |
| 3876.1.bv.d |
$3876$ |
$1$ |
3876.bv |
3876.av |
$8$ |
$4$ |
$1$ |
$1.934$ |
\(\Q(\zeta_{8})\) |
$D_{8}$ |
None |
\(\Q(\sqrt{19}) \) |
|
$4$ |
$0$ |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
$1$ |
|
\(q+\zeta_{8}q^{2}-\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{4}+(1+\zeta_{8}+\cdots)q^{5}+\cdots\) |
