Invariants
| Level: | $184$ | $\SL_2$-level: | $8$ | Newform level: | $1$ | ||
| Index: | $96$ | $\PSL_2$-index: | $96$ | ||||
| Genus: | $1 = 1 + \frac{ 96 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 16 }{2}$ | ||||||
| Cusps: | $16$ (none of which are rational) | Cusp widths | $4^{8}\cdot8^{8}$ | Cusp orbits | $2^{6}\cdot4$ | ||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ | ||||||
| Analytic rank: | not computed | ||||||
| $\Q$-gonality: | $2 \le \gamma \le 96$ | ||||||
| $\overline{\Q}$-gonality: | $2$ | ||||||
| Rational cusps: | $0$ | ||||||
| Rational CM points: | none |
Other labels
| Cummins and Pauli (CP) label: | 8K1 |
Level structure
| $\GL_2(\Z/184\Z)$-generators: | $\begin{bmatrix}49&152\\104&143\end{bmatrix}$, $\begin{bmatrix}65&116\\40&37\end{bmatrix}$, $\begin{bmatrix}81&76\\84&93\end{bmatrix}$, $\begin{bmatrix}103&76\\180&177\end{bmatrix}$, $\begin{bmatrix}183&40\\0&17\end{bmatrix}$ |
| Contains $-I$: | yes |
| Quadratic refinements: | 184.192.1-184.x.1.1, 184.192.1-184.x.1.2, 184.192.1-184.x.1.3, 184.192.1-184.x.1.4, 184.192.1-184.x.1.5, 184.192.1-184.x.1.6, 184.192.1-184.x.1.7, 184.192.1-184.x.1.8, 184.192.1-184.x.1.9, 184.192.1-184.x.1.10, 184.192.1-184.x.1.11, 184.192.1-184.x.1.12 |
| Cyclic 184-isogeny field degree: | $48$ |
| Cyclic 184-torsion field degree: | $2112$ |
| Full 184-torsion field degree: | $4274688$ |
Jacobian
| Conductor: | $?$ |
| Simple: | yes |
| Squarefree: | yes |
| Decomposition: | $1$ |
| Newforms: | not computed |
Rational points
This modular curve has real points and $\Q_p$ points for $p$ not dividing the level, but no known rational points.
Modular covers
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 8.48.0.c.1 | $8$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
| 184.48.0.b.2 | $184$ | $2$ | $2$ | $0$ | $?$ | full Jacobian |
| 184.48.0.u.1 | $184$ | $2$ | $2$ | $0$ | $?$ | full Jacobian |
| 184.48.0.v.1 | $184$ | $2$ | $2$ | $0$ | $?$ | full Jacobian |
| 184.48.1.o.2 | $184$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 184.48.1.be.2 | $184$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 184.48.1.bf.2 | $184$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
This modular curve is minimally covered by the modular curves in the database listed below.
| Covering curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 184.192.5.x.1 | $184$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 184.192.5.y.2 | $184$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 184.192.5.ba.2 | $184$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 184.192.5.bb.3 | $184$ | $2$ | $2$ | $5$ | $?$ | not computed |