Invariants
Level: | $152$ | $\SL_2$-level: | $8$ | Newform level: | $1$ | ||
Index: | $96$ | $\PSL_2$-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
$\GL_2(\Z/152\Z)$-generators: | $\begin{bmatrix}41&2\\20&147\end{bmatrix}$, $\begin{bmatrix}55&52\\52&67\end{bmatrix}$, $\begin{bmatrix}73&8\\0&75\end{bmatrix}$, $\begin{bmatrix}125&124\\40&89\end{bmatrix}$ |
Contains $-I$: | no $\quad$ (see 152.48.1.bf.2 for the level structure with $-I$) |
Cyclic 152-isogeny field degree: | $40$ |
Cyclic 152-torsion field degree: | $2880$ |
Full 152-torsion field degree: | $1969920$ |
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 |
---|---|---|---|---|---|---|
8.48.0-8.e.1.15 | $8$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
152.48.0-8.e.1.1 | $152$ | $2$ | $2$ | $0$ | $?$ | full Jacobian |
152.48.0-152.i.2.2 | $152$ | $2$ | $2$ | $0$ | $?$ | full Jacobian |
152.48.0-152.i.2.28 | $152$ | $2$ | $2$ | $0$ | $?$ | full Jacobian |
152.48.1-152.c.1.5 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.48.1-152.c.1.10 | $152$ | $2$ | $2$ | $1$ | $?$ | 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 |
---|---|---|---|---|---|---|
152.192.1-152.s.2.2 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.192.1-152.x.1.8 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.192.1-152.bf.1.8 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.192.1-152.bh.2.7 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.192.1-152.bx.1.8 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.192.1-152.bz.1.7 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.192.1-152.cc.2.5 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.192.1-152.cd.1.8 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |