Invariants
Level: | $152$ | $\SL_2$-level: | $8$ | Newform level: | $1$ | ||
Index: | $192$ | $\PSL_2$-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
$\GL_2(\Z/152\Z)$-generators: | $\begin{bmatrix}7&20\\88&39\end{bmatrix}$, $\begin{bmatrix}31&40\\108&125\end{bmatrix}$, $\begin{bmatrix}73&32\\88&15\end{bmatrix}$, $\begin{bmatrix}87&48\\88&147\end{bmatrix}$ |
Contains $-I$: | no $\quad$ (see 152.96.1.w.1 for the level structure with $-I$) |
Cyclic 152-isogeny field degree: | $40$ |
Cyclic 152-torsion field degree: | $1440$ |
Full 152-torsion field degree: | $984960$ |
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 |
---|---|---|---|---|---|---|
8.96.0-8.c.1.6 | $8$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
152.96.0-152.b.1.12 | $152$ | $2$ | $2$ | $0$ | $?$ | full Jacobian |
152.96.0-152.b.1.18 | $152$ | $2$ | $2$ | $0$ | $?$ | full Jacobian |
152.96.0-8.c.1.10 | $152$ | $2$ | $2$ | $0$ | $?$ | full Jacobian |
152.96.0-152.q.1.8 | $152$ | $2$ | $2$ | $0$ | $?$ | full Jacobian |
152.96.0-152.q.1.9 | $152$ | $2$ | $2$ | $0$ | $?$ | full Jacobian |
152.96.0-152.r.1.4 | $152$ | $2$ | $2$ | $0$ | $?$ | full Jacobian |
152.96.0-152.r.1.9 | $152$ | $2$ | $2$ | $0$ | $?$ | full Jacobian |
152.96.1-152.n.2.3 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.n.2.4 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bi.2.6 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bi.2.11 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bj.2.2 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bj.2.13 | $152$ | $2$ | $2$ | $1$ | $?$ | 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 |
---|---|---|---|---|---|---|
152.384.5-152.w.1.4 | $152$ | $2$ | $2$ | $5$ | $?$ | not computed |
152.384.5-152.y.1.2 | $152$ | $2$ | $2$ | $5$ | $?$ | not computed |
152.384.5-152.z.2.4 | $152$ | $2$ | $2$ | $5$ | $?$ | not computed |
152.384.5-152.bb.1.2 | $152$ | $2$ | $2$ | $5$ | $?$ | not computed |
304.384.5-304.c.1.1 | $304$ | $2$ | $2$ | $5$ | $?$ | not computed |
304.384.5-304.e.1.1 | $304$ | $2$ | $2$ | $5$ | $?$ | not computed |
304.384.5-304.n.1.5 | $304$ | $2$ | $2$ | $5$ | $?$ | not computed |
304.384.5-304.t.1.6 | $304$ | $2$ | $2$ | $5$ | $?$ | not computed |
304.384.5-304.co.1.5 | $304$ | $2$ | $2$ | $5$ | $?$ | not computed |
304.384.5-304.cu.1.5 | $304$ | $2$ | $2$ | $5$ | $?$ | not computed |
304.384.5-304.dd.1.3 | $304$ | $2$ | $2$ | $5$ | $?$ | not computed |
304.384.5-304.df.1.2 | $304$ | $2$ | $2$ | $5$ | $?$ | not computed |