Invariants
Level: | $184$ | $\SL_2$-level: | $8$ | Newform level: | $1$ | ||
Index: | $48$ | $\PSL_2$-index: | $48$ | ||||
Genus: | $1 = 1 + \frac{ 48 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 8 }{2}$ | ||||||
Cusps: | $8$ (of which $2$ are rational) | Cusp widths | $4^{4}\cdot8^{4}$ | Cusp orbits | $1^{2}\cdot2^{3}$ | ||
Elliptic points: | $0$ of order $2$ and $0$ of order $3$ | ||||||
Analytic rank: | not computed | ||||||
$\Q$-gonality: | $2$ | ||||||
$\overline{\Q}$-gonality: | $2$ | ||||||
Rational cusps: | $2$ | ||||||
Rational CM points: | none |
Other labels
Cummins and Pauli (CP) label: | 8G1 |
Level structure
$\GL_2(\Z/184\Z)$-generators: | $\begin{bmatrix}11&78\\152&113\end{bmatrix}$, $\begin{bmatrix}23&50\\140&109\end{bmatrix}$, $\begin{bmatrix}33&132\\28&93\end{bmatrix}$, $\begin{bmatrix}61&82\\12&57\end{bmatrix}$, $\begin{bmatrix}181&54\\44&163\end{bmatrix}$ |
Contains $-I$: | yes |
Quadratic refinements: | 184.96.1-184.bf.2.1, 184.96.1-184.bf.2.2, 184.96.1-184.bf.2.3, 184.96.1-184.bf.2.4, 184.96.1-184.bf.2.5, 184.96.1-184.bf.2.6, 184.96.1-184.bf.2.7, 184.96.1-184.bf.2.8, 184.96.1-184.bf.2.9, 184.96.1-184.bf.2.10, 184.96.1-184.bf.2.11, 184.96.1-184.bf.2.12, 184.96.1-184.bf.2.13, 184.96.1-184.bf.2.14, 184.96.1-184.bf.2.15, 184.96.1-184.bf.2.16 |
Cyclic 184-isogeny field degree: | $48$ |
Cyclic 184-torsion field degree: | $4224$ |
Full 184-torsion field degree: | $8549376$ |
Jacobian
Conductor: | $?$ |
Simple: | yes |
Squarefree: | yes |
Decomposition: | $1$ |
Newforms: | not computed |
Rational points
This modular curve is an elliptic curve, but the rank has not been computed
Modular covers
This modular curve minimally covers the modular curves listed below.
Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
---|---|---|---|---|---|---|
8.24.0.e.1 | $8$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
184.24.0.i.2 | $184$ | $2$ | $2$ | $0$ | $?$ | full Jacobian |
184.24.1.c.1 | $184$ | $2$ | $2$ | $1$ | $?$ | 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 |
---|---|---|---|---|---|---|
184.96.1.s.2 | $184$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
184.96.1.x.1 | $184$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
184.96.1.bf.1 | $184$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
184.96.1.bh.2 | $184$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
184.96.1.bx.1 | $184$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
184.96.1.bz.1 | $184$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
184.96.1.cc.2 | $184$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
184.96.1.cd.1 | $184$ | $2$ | $2$ | $1$ | $?$ | dimension zero |