Invariants
Level: | $208$ | $\SL_2$-level: | $16$ | 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 | $2^{2}\cdot4\cdot16$ | 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: | 16A1 |
Level structure
$\GL_2(\Z/208\Z)$-generators: | $\begin{bmatrix}17&58\\52&107\end{bmatrix}$, $\begin{bmatrix}21&182\\100&19\end{bmatrix}$, $\begin{bmatrix}160&125\\49&148\end{bmatrix}$, $\begin{bmatrix}188&99\\95&176\end{bmatrix}$, $\begin{bmatrix}196&105\\171&14\end{bmatrix}$ |
Contains $-I$: | no $\quad$ (see 208.24.1.b.1 for the level structure with $-I$) |
Cyclic 208-isogeny field degree: | $28$ |
Cyclic 208-torsion field degree: | $1344$ |
Full 208-torsion field degree: | $13418496$ |
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 |
---|---|---|---|---|---|---|
16.24.0-8.n.1.8 | $16$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
104.24.0-8.n.1.11 | $104$ | $2$ | $2$ | $0$ | $?$ | 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 |
---|---|---|---|---|---|---|
208.96.1-208.b.2.11 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.f.1.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.h.1.9 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.j.1.9 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.by.1.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.by.2.5 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bz.1.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bz.2.2 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.ca.1.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.ca.2.5 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.cb.1.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.cb.2.3 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.cc.1.3 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.cc.2.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.cd.1.3 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.cd.2.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.ce.1.2 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.ce.2.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.cf.1.3 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.cf.2.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.cg.1.2 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.cj.1.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.ck.1.10 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.cn.1.9 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |