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: | $\begin{bmatrix}3&44\\146&73\end{bmatrix}$, $\begin{bmatrix}19&98\\124&21\end{bmatrix}$, $\begin{bmatrix}102&103\\39&198\end{bmatrix}$, $\begin{bmatrix}123&126\\158&155\end{bmatrix}$, $\begin{bmatrix}188&185\\123&134\end{bmatrix}$ |
Contains $-I$: | no $\quad$ (see 208.24.1.a.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.1.10 | $104$ | $2$ | $2$ | $0$ | $?$ | 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.a.2.11 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.d.1.9 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.g.1.9 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.i.1.5 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bq.1.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bq.2.3 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.br.1.5 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.br.2.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bs.1.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bs.2.5 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bt.1.5 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bt.2.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bu.1.5 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bu.2.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bv.1.3 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bv.2.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bw.1.5 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bw.2.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bx.1.2 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.bx.2.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.ch.1.1 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.ci.1.2 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.cl.1.5 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
208.96.1-208.cm.1.10 | $208$ | $2$ | $2$ | $1$ | $?$ | dimension zero |