Invariants
Level: | $280$ | $\SL_2$-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
$\GL_2(\Z/280\Z)$-generators: | $\begin{bmatrix}67&50\\48&79\end{bmatrix}$, $\begin{bmatrix}83&86\\272&193\end{bmatrix}$, $\begin{bmatrix}95&102\\244&235\end{bmatrix}$, $\begin{bmatrix}153&148\\20&233\end{bmatrix}$, $\begin{bmatrix}173&10\\136&247\end{bmatrix}$, $\begin{bmatrix}245&176\\244&39\end{bmatrix}$ |
Contains $-I$: | no $\quad$ (see 280.24.1.c.1 for the level structure with $-I$) |
Cyclic 280-isogeny field degree: | $96$ |
Cyclic 280-torsion field degree: | $9216$ |
Full 280-torsion field degree: | $30965760$ |
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 |
---|---|---|---|---|---|---|
20.24.0-4.b.1.3 | $20$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
56.24.0-4.b.1.10 | $56$ | $2$ | $2$ | $0$ | $0$ | 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 |
---|---|---|---|---|---|---|
280.96.1-280.o.2.29 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.v.1.30 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.da.1.29 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.dd.1.31 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.do.1.6 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.do.2.12 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.dp.1.3 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.dp.2.7 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.dq.1.18 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.dq.2.3 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.dr.1.18 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.dr.2.2 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.ds.1.20 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.ds.2.1 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.dt.1.17 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.dt.2.6 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.du.1.1 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.du.2.3 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.dv.1.3 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.dv.2.6 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.ex.1.28 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.ey.1.27 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.fl.1.31 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.96.1-280.fm.1.29 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
280.240.9-280.g.1.39 | $280$ | $5$ | $5$ | $9$ | $?$ | not computed |
280.288.9-280.g.1.28 | $280$ | $6$ | $6$ | $9$ | $?$ | not computed |
280.384.13-280.g.1.37 | $280$ | $8$ | $8$ | $13$ | $?$ | not computed |
280.480.17-280.fu.1.79 | $280$ | $10$ | $10$ | $17$ | $?$ | not computed |