Invariants
Level: | $152$ | $\SL_2$-level: | $8$ | Newform level: | $1$ | ||
Index: | $48$ | $\PSL_2$-index: | $24$ | ||||
Genus: | $1 = 1 + \frac{ 24 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 4 }{2}$ | ||||||
Cusps: | $4$ (all of which are rational) | Cusp widths | $4^{2}\cdot8^{2}$ | Cusp orbits | $1^{4}$ | ||
Elliptic points: | $0$ of order $2$ and $0$ of order $3$ | ||||||
Analytic rank: | not computed | ||||||
$\Q$-gonality: | $2$ | ||||||
$\overline{\Q}$-gonality: | $2$ | ||||||
Rational cusps: | $4$ | ||||||
Rational CM points: | none |
Other labels
Cummins and Pauli (CP) label: | 8B1 |
Level structure
$\GL_2(\Z/152\Z)$-generators: | $\begin{bmatrix}15&146\\44&25\end{bmatrix}$, $\begin{bmatrix}47&44\\148&23\end{bmatrix}$, $\begin{bmatrix}73&120\\40&151\end{bmatrix}$, $\begin{bmatrix}139&120\\20&69\end{bmatrix}$, $\begin{bmatrix}149&104\\96&49\end{bmatrix}$ |
Contains $-I$: | no $\quad$ (see 152.24.1.d.1 for the level structure with $-I$) |
Cyclic 152-isogeny field degree: | $40$ |
Cyclic 152-torsion field degree: | $1440$ |
Full 152-torsion field degree: | $3939840$ |
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 |
---|---|---|---|---|---|---|
8.24.0-4.b.1.5 | $8$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
152.24.0-4.b.1.6 | $152$ | $2$ | $2$ | $0$ | $?$ | full Jacobian |
This modular curve is minimally covered by the modular curves in the database listed below.
Covering curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
---|---|---|---|---|---|---|
152.96.1-152.n.2.5 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.n.2.10 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bb.1.1 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bb.1.9 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bg.1.3 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bg.1.7 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bg.2.3 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bg.2.4 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bh.1.3 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bh.1.4 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bh.2.5 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bh.2.7 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bi.1.2 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bi.1.4 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bi.2.3 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bi.2.7 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bj.1.2 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bj.1.6 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bj.2.5 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bj.2.7 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bs.1.3 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bs.1.10 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bv.1.1 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
152.96.1-152.bv.1.9 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |