Properties

Label 24.144.8.fp.2
Level $24$
Index $144$
Genus $8$
Analytic rank $0$
Cusps $10$
$\Q$-cusps $4$

Related objects

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Invariants

Level: $24$ $\SL_2$-level: $24$ Newform level: $144$
Index: $144$ $\PSL_2$-index:$144$
Genus: $8 = 1 + \frac{ 144 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 10 }{2}$
Cusps: $10$ (of which $4$ are rational) Cusp widths $6^{4}\cdot12^{2}\cdot24^{4}$ Cusp orbits $1^{4}\cdot2^{3}$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $0$
$\Q$-gonality: $3$
$\overline{\Q}$-gonality: $3$
Rational cusps: $4$
Rational CM points: none

Other labels

Cummins and Pauli (CP) label: 24B8
Rouse, Sutherland, and Zureick-Brown (RSZB) label: 24.144.8.18

Level structure

$\GL_2(\Z/24\Z)$-generators: $\begin{bmatrix}15&16\\8&9\end{bmatrix}$, $\begin{bmatrix}19&8\\8&17\end{bmatrix}$, $\begin{bmatrix}21&20\\16&9\end{bmatrix}$, $\begin{bmatrix}21&20\\16&15\end{bmatrix}$, $\begin{bmatrix}23&0\\0&7\end{bmatrix}$, $\begin{bmatrix}23&2\\8&7\end{bmatrix}$
Contains $-I$: yes
Quadratic refinements: 24.288.8-24.fp.2.1, 24.288.8-24.fp.2.2, 24.288.8-24.fp.2.3, 24.288.8-24.fp.2.4, 24.288.8-24.fp.2.5, 24.288.8-24.fp.2.6, 24.288.8-24.fp.2.7, 24.288.8-24.fp.2.8, 24.288.8-24.fp.2.9, 24.288.8-24.fp.2.10, 24.288.8-24.fp.2.11, 24.288.8-24.fp.2.12, 24.288.8-24.fp.2.13, 24.288.8-24.fp.2.14, 24.288.8-24.fp.2.15, 24.288.8-24.fp.2.16, 24.288.8-24.fp.2.17, 24.288.8-24.fp.2.18, 24.288.8-24.fp.2.19, 24.288.8-24.fp.2.20, 24.288.8-24.fp.2.21, 24.288.8-24.fp.2.22, 24.288.8-24.fp.2.23, 24.288.8-24.fp.2.24, 48.288.8-24.fp.2.1, 48.288.8-24.fp.2.2, 48.288.8-24.fp.2.3, 48.288.8-24.fp.2.4, 48.288.8-24.fp.2.5, 48.288.8-24.fp.2.6, 48.288.8-24.fp.2.7, 48.288.8-24.fp.2.8, 48.288.8-24.fp.2.9, 48.288.8-24.fp.2.10, 48.288.8-24.fp.2.11, 48.288.8-24.fp.2.12, 48.288.8-24.fp.2.13, 48.288.8-24.fp.2.14, 48.288.8-24.fp.2.15, 48.288.8-24.fp.2.16, 48.288.8-24.fp.2.17, 48.288.8-24.fp.2.18, 48.288.8-24.fp.2.19, 48.288.8-24.fp.2.20, 48.288.8-24.fp.2.21, 48.288.8-24.fp.2.22, 48.288.8-24.fp.2.23, 48.288.8-24.fp.2.24, 48.288.8-24.fp.2.25, 48.288.8-24.fp.2.26, 48.288.8-24.fp.2.27, 48.288.8-24.fp.2.28, 48.288.8-24.fp.2.29, 48.288.8-24.fp.2.30, 48.288.8-24.fp.2.31, 48.288.8-24.fp.2.32, 120.288.8-24.fp.2.1, 120.288.8-24.fp.2.2, 120.288.8-24.fp.2.3, 120.288.8-24.fp.2.4, 120.288.8-24.fp.2.5, 120.288.8-24.fp.2.6, 120.288.8-24.fp.2.7, 120.288.8-24.fp.2.8, 120.288.8-24.fp.2.9, 120.288.8-24.fp.2.10, 120.288.8-24.fp.2.11, 120.288.8-24.fp.2.12, 120.288.8-24.fp.2.13, 120.288.8-24.fp.2.14, 120.288.8-24.fp.2.15, 120.288.8-24.fp.2.16, 120.288.8-24.fp.2.17, 120.288.8-24.fp.2.18, 120.288.8-24.fp.2.19, 120.288.8-24.fp.2.20, 120.288.8-24.fp.2.21, 120.288.8-24.fp.2.22, 120.288.8-24.fp.2.23, 120.288.8-24.fp.2.24, 168.288.8-24.fp.2.1, 168.288.8-24.fp.2.2, 168.288.8-24.fp.2.3, 168.288.8-24.fp.2.4, 168.288.8-24.fp.2.5, 168.288.8-24.fp.2.6, 168.288.8-24.fp.2.7, 168.288.8-24.fp.2.8, 168.288.8-24.fp.2.9, 168.288.8-24.fp.2.10, 168.288.8-24.fp.2.11, 168.288.8-24.fp.2.12, 168.288.8-24.fp.2.13, 168.288.8-24.fp.2.14, 168.288.8-24.fp.2.15, 168.288.8-24.fp.2.16, 168.288.8-24.fp.2.17, 168.288.8-24.fp.2.18, 168.288.8-24.fp.2.19, 168.288.8-24.fp.2.20, 168.288.8-24.fp.2.21, 168.288.8-24.fp.2.22, 168.288.8-24.fp.2.23, 168.288.8-24.fp.2.24, 240.288.8-24.fp.2.1, 240.288.8-24.fp.2.2, 240.288.8-24.fp.2.3, 240.288.8-24.fp.2.4, 240.288.8-24.fp.2.5, 240.288.8-24.fp.2.6, 240.288.8-24.fp.2.7, 240.288.8-24.fp.2.8, 240.288.8-24.fp.2.9, 240.288.8-24.fp.2.10, 240.288.8-24.fp.2.11, 240.288.8-24.fp.2.12, 240.288.8-24.fp.2.13, 240.288.8-24.fp.2.14, 240.288.8-24.fp.2.15, 240.288.8-24.fp.2.16, 240.288.8-24.fp.2.17, 240.288.8-24.fp.2.18, 240.288.8-24.fp.2.19, 240.288.8-24.fp.2.20, 240.288.8-24.fp.2.21, 240.288.8-24.fp.2.22, 240.288.8-24.fp.2.23, 240.288.8-24.fp.2.24, 240.288.8-24.fp.2.25, 240.288.8-24.fp.2.26, 240.288.8-24.fp.2.27, 240.288.8-24.fp.2.28, 240.288.8-24.fp.2.29, 240.288.8-24.fp.2.30, 240.288.8-24.fp.2.31, 240.288.8-24.fp.2.32, 264.288.8-24.fp.2.1, 264.288.8-24.fp.2.2, 264.288.8-24.fp.2.3, 264.288.8-24.fp.2.4, 264.288.8-24.fp.2.5, 264.288.8-24.fp.2.6, 264.288.8-24.fp.2.7, 264.288.8-24.fp.2.8, 264.288.8-24.fp.2.9, 264.288.8-24.fp.2.10, 264.288.8-24.fp.2.11, 264.288.8-24.fp.2.12, 264.288.8-24.fp.2.13, 264.288.8-24.fp.2.14, 264.288.8-24.fp.2.15, 264.288.8-24.fp.2.16, 264.288.8-24.fp.2.17, 264.288.8-24.fp.2.18, 264.288.8-24.fp.2.19, 264.288.8-24.fp.2.20, 264.288.8-24.fp.2.21, 264.288.8-24.fp.2.22, 264.288.8-24.fp.2.23, 264.288.8-24.fp.2.24, 312.288.8-24.fp.2.1, 312.288.8-24.fp.2.2, 312.288.8-24.fp.2.3, 312.288.8-24.fp.2.4, 312.288.8-24.fp.2.5, 312.288.8-24.fp.2.6, 312.288.8-24.fp.2.7, 312.288.8-24.fp.2.8, 312.288.8-24.fp.2.9, 312.288.8-24.fp.2.10, 312.288.8-24.fp.2.11, 312.288.8-24.fp.2.12, 312.288.8-24.fp.2.13, 312.288.8-24.fp.2.14, 312.288.8-24.fp.2.15, 312.288.8-24.fp.2.16, 312.288.8-24.fp.2.17, 312.288.8-24.fp.2.18, 312.288.8-24.fp.2.19, 312.288.8-24.fp.2.20, 312.288.8-24.fp.2.21, 312.288.8-24.fp.2.22, 312.288.8-24.fp.2.23, 312.288.8-24.fp.2.24
Cyclic 24-isogeny field degree: $4$
Cyclic 24-torsion field degree: $32$
Full 24-torsion field degree: $512$

Jacobian

Conductor: $2^{22}\cdot3^{16}$
Simple: no
Squarefree: no
Decomposition: $1^{4}\cdot2^{2}$
Newforms: 36.2.a.a$^{3}$, 72.2.d.a$^{2}$, 144.2.a.a

Models

Canonical model in $\mathbb{P}^{ 7 }$ defined by 20 equations

$ 0 $ $=$ $ z v + w r $
$=$ $x v + w t + w u$
$=$ $x r - z t - z u$
$=$ $2 y v + u r$
$=$$\cdots$
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Singular plane model Singular plane model

$ 0 $ $=$ $ - 2 x^{6} z^{2} + 4 x^{4} z^{4} + x^{2} y^{6} - 2 x^{2} z^{6} + y^{6} z^{2} $
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Rational points

This modular curve has 4 rational cusps but no known non-cuspidal rational points. The following are the coordinates of the rational cusps on this modular curve.

Canonical model
$(0:1/4:0:0:-1/2:-1/2:1:1)$, $(0:-1/4:0:0:1/2:1/2:1:1)$, $(0:-1/4:0:0:-1/2:-1/2:-1:1)$, $(0:1/4:0:0:1/2:1/2:-1:1)$

Maps between models of this curve

Birational map from canonical model to plane model:

$\displaystyle X$ $=$ $\displaystyle y$
$\displaystyle Y$ $=$ $\displaystyle \frac{1}{2}z$
$\displaystyle Z$ $=$ $\displaystyle \frac{1}{2}t$

Maps to other modular curves

Map of degree 2 from the canonical model of this modular curve to the canonical model of the modular curve 24.72.4.z.2 :

$\displaystyle X$ $=$ $\displaystyle -x$
$\displaystyle Y$ $=$ $\displaystyle y$
$\displaystyle Z$ $=$ $\displaystyle -w$
$\displaystyle W$ $=$ $\displaystyle r$

Equation of the image curve:

$0$ $=$ $ 4XY-ZW $
$=$ $ 2X^{3}-16Y^{3}-XZ^{2}+YW^{2} $

Modular covers

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Cover information

Click on a modular curve in the diagram to see information about it.

The following modular covers realize this modular curve as a fiber product over $X(1)$.

Factor curve Level Index Degree Genus Rank Kernel decomposition
$X_{\mathrm{ns}}^+(3)$ $3$ $48$ $48$ $0$ $0$ full Jacobian
8.48.0.l.1 $8$ $3$ $3$ $0$ $0$ full Jacobian

This modular curve minimally covers the modular curves listed below.

Covered curve Level Index Degree Genus Rank Kernel decomposition
8.48.0.l.1 $8$ $3$ $3$ $0$ $0$ full Jacobian
24.72.4.z.2 $24$ $2$ $2$ $4$ $0$ $1^{2}\cdot2$
24.72.4.ch.1 $24$ $2$ $2$ $4$ $0$ $2^{2}$
24.72.4.gl.2 $24$ $2$ $2$ $4$ $0$ $1^{2}\cdot2$

This modular curve is minimally covered by the modular curves in the database listed below.

Covering curve Level Index Degree Genus Rank Kernel decomposition
24.288.15.kz.2 $24$ $2$ $2$ $15$ $0$ $1^{3}\cdot2^{2}$
24.288.15.lf.2 $24$ $2$ $2$ $15$ $2$ $1^{3}\cdot2^{2}$
24.288.15.lx.2 $24$ $2$ $2$ $15$ $0$ $1^{3}\cdot2^{2}$
24.288.15.md.2 $24$ $2$ $2$ $15$ $1$ $1^{3}\cdot2^{2}$
24.288.15.nt.2 $24$ $2$ $2$ $15$ $0$ $1^{3}\cdot2^{2}$
24.288.15.nz.2 $24$ $2$ $2$ $15$ $0$ $1^{3}\cdot2^{2}$
24.288.15.or.2 $24$ $2$ $2$ $15$ $0$ $1^{3}\cdot2^{2}$
24.288.15.ox.2 $24$ $2$ $2$ $15$ $0$ $1^{3}\cdot2^{2}$
24.288.17.pg.2 $24$ $2$ $2$ $17$ $1$ $1^{5}\cdot2^{2}$
24.288.17.tn.2 $24$ $2$ $2$ $17$ $1$ $1^{5}\cdot2^{2}$
24.288.17.blf.2 $24$ $2$ $2$ $17$ $1$ $1^{5}\cdot2^{2}$
24.288.17.bln.2 $24$ $2$ $2$ $17$ $2$ $1^{5}\cdot2^{2}$
24.288.17.brv.1 $24$ $2$ $2$ $17$ $1$ $1^{5}\cdot2^{2}$
24.288.17.bsd.1 $24$ $2$ $2$ $17$ $0$ $1^{5}\cdot2^{2}$
24.288.17.btn.1 $24$ $2$ $2$ $17$ $2$ $1^{5}\cdot2^{2}$
24.288.17.btv.1 $24$ $2$ $2$ $17$ $1$ $1^{5}\cdot2^{2}$
48.288.17.s.2 $48$ $2$ $2$ $17$ $1$ $1^{5}\cdot2^{2}$
48.288.17.bb.2 $48$ $2$ $2$ $17$ $2$ $1^{5}\cdot2^{2}$
48.288.17.cl.2 $48$ $2$ $2$ $17$ $0$ $1^{5}\cdot2^{2}$
48.288.17.co.2 $48$ $2$ $2$ $17$ $1$ $1^{5}\cdot2^{2}$
48.288.17.dl.2 $48$ $2$ $2$ $17$ $2$ $1^{5}\cdot2^{2}$
48.288.17.ea.2 $48$ $2$ $2$ $17$ $1$ $1^{5}\cdot2^{2}$
48.288.17.eg.2 $48$ $2$ $2$ $17$ $1$ $1^{5}\cdot2^{2}$
48.288.17.fb.2 $48$ $2$ $2$ $17$ $1$ $1^{5}\cdot2^{2}$
48.288.18.q.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.18.r.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.18.s.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.18.t.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.18.u.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.18.v.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.18.w.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.18.x.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.18.y.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.18.z.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.18.ba.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.18.bb.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.18.bc.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.18.bd.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.18.be.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.18.bf.2 $48$ $2$ $2$ $18$ $0$ $2\cdot8$
48.288.19.iz.2 $48$ $2$ $2$ $19$ $1$ $1^{5}\cdot2\cdot4$
48.288.19.kh.2 $48$ $2$ $2$ $19$ $1$ $1^{5}\cdot2\cdot4$
48.288.19.me.2 $48$ $2$ $2$ $19$ $2$ $1^{5}\cdot2\cdot4$
48.288.19.mw.2 $48$ $2$ $2$ $19$ $1$ $1^{5}\cdot2\cdot4$
48.288.19.ot.2 $48$ $2$ $2$ $19$ $0$ $1^{5}\cdot2\cdot4$
48.288.19.ox.1 $48$ $2$ $2$ $19$ $1$ $1^{5}\cdot2\cdot4$
48.288.19.py.1 $48$ $2$ $2$ $19$ $1$ $1^{5}\cdot2\cdot4$
48.288.19.qj.2 $48$ $2$ $2$ $19$ $2$ $1^{5}\cdot2\cdot4$
120.288.15.dme.2 $120$ $2$ $2$ $15$ $?$ not computed
120.288.15.dmq.2 $120$ $2$ $2$ $15$ $?$ not computed
120.288.15.doa.2 $120$ $2$ $2$ $15$ $?$ not computed
120.288.15.dom.2 $120$ $2$ $2$ $15$ $?$ not computed
120.288.15.dpw.2 $120$ $2$ $2$ $15$ $?$ not computed
120.288.15.dqi.2 $120$ $2$ $2$ $15$ $?$ not computed
120.288.15.drs.2 $120$ $2$ $2$ $15$ $?$ not computed
120.288.15.dse.2 $120$ $2$ $2$ $15$ $?$ not computed
120.288.17.jvp.2 $120$ $2$ $2$ $17$ $?$ not computed
120.288.17.jwf.2 $120$ $2$ $2$ $17$ $?$ not computed
120.288.17.jyb.2 $120$ $2$ $2$ $17$ $?$ not computed
120.288.17.jyr.2 $120$ $2$ $2$ $17$ $?$ not computed
120.288.17.lxl.2 $120$ $2$ $2$ $17$ $?$ not computed
120.288.17.lyb.2 $120$ $2$ $2$ $17$ $?$ not computed
120.288.17.lzx.2 $120$ $2$ $2$ $17$ $?$ not computed
120.288.17.man.2 $120$ $2$ $2$ $17$ $?$ not computed
168.288.15.czf.2 $168$ $2$ $2$ $15$ $?$ not computed
168.288.15.czr.2 $168$ $2$ $2$ $15$ $?$ not computed
168.288.15.dbb.2 $168$ $2$ $2$ $15$ $?$ not computed
168.288.15.dbn.2 $168$ $2$ $2$ $15$ $?$ not computed
168.288.15.dcx.2 $168$ $2$ $2$ $15$ $?$ not computed
168.288.15.ddj.2 $168$ $2$ $2$ $15$ $?$ not computed
168.288.15.det.2 $168$ $2$ $2$ $15$ $?$ not computed
168.288.15.dff.2 $168$ $2$ $2$ $15$ $?$ not computed
168.288.17.jdn.2 $168$ $2$ $2$ $17$ $?$ not computed
168.288.17.jed.2 $168$ $2$ $2$ $17$ $?$ not computed
168.288.17.jfz.2 $168$ $2$ $2$ $17$ $?$ not computed
168.288.17.jgp.2 $168$ $2$ $2$ $17$ $?$ not computed
168.288.17.lal.2 $168$ $2$ $2$ $17$ $?$ not computed
168.288.17.lbb.2 $168$ $2$ $2$ $17$ $?$ not computed
168.288.17.lcx.2 $168$ $2$ $2$ $17$ $?$ not computed
168.288.17.ldn.2 $168$ $2$ $2$ $17$ $?$ not computed
240.288.17.fe.2 $240$ $2$ $2$ $17$ $?$ not computed
240.288.17.fn.2 $240$ $2$ $2$ $17$ $?$ not computed
240.288.17.ij.2 $240$ $2$ $2$ $17$ $?$ not computed
240.288.17.im.2 $240$ $2$ $2$ $17$ $?$ not computed
240.288.17.kj.2 $240$ $2$ $2$ $17$ $?$ not computed
240.288.17.lk.2 $240$ $2$ $2$ $17$ $?$ not computed
240.288.17.mc.2 $240$ $2$ $2$ $17$ $?$ not computed
240.288.17.nj.2 $240$ $2$ $2$ $17$ $?$ not computed
240.288.18.ce.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.18.cf.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.18.cg.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.18.ch.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.18.cq.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.18.cr.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.18.cs.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.18.ct.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.18.cu.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.18.cv.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.18.cw.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.18.cx.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.18.dg.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.18.dh.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.18.di.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.18.dj.2 $240$ $2$ $2$ $18$ $?$ not computed
240.288.19.btw.2 $240$ $2$ $2$ $19$ $?$ not computed
240.288.19.bvj.2 $240$ $2$ $2$ $19$ $?$ not computed
240.288.19.bwl.2 $240$ $2$ $2$ $19$ $?$ not computed
240.288.19.bxs.2 $240$ $2$ $2$ $19$ $?$ not computed
240.288.19.cdv.2 $240$ $2$ $2$ $19$ $?$ not computed
240.288.19.cea.2 $240$ $2$ $2$ $19$ $?$ not computed
240.288.19.cge.2 $240$ $2$ $2$ $19$ $?$ not computed
240.288.19.cgp.2 $240$ $2$ $2$ $19$ $?$ not computed
264.288.15.czf.2 $264$ $2$ $2$ $15$ $?$ not computed
264.288.15.czr.2 $264$ $2$ $2$ $15$ $?$ not computed
264.288.15.dbb.2 $264$ $2$ $2$ $15$ $?$ not computed
264.288.15.dbn.2 $264$ $2$ $2$ $15$ $?$ not computed
264.288.15.dcx.2 $264$ $2$ $2$ $15$ $?$ not computed
264.288.15.ddj.2 $264$ $2$ $2$ $15$ $?$ not computed
264.288.15.det.2 $264$ $2$ $2$ $15$ $?$ not computed
264.288.15.dff.2 $264$ $2$ $2$ $15$ $?$ not computed
264.288.17.jdn.2 $264$ $2$ $2$ $17$ $?$ not computed
264.288.17.jed.2 $264$ $2$ $2$ $17$ $?$ not computed
264.288.17.jfz.2 $264$ $2$ $2$ $17$ $?$ not computed
264.288.17.jgp.2 $264$ $2$ $2$ $17$ $?$ not computed
264.288.17.lbf.2 $264$ $2$ $2$ $17$ $?$ not computed
264.288.17.lbv.2 $264$ $2$ $2$ $17$ $?$ not computed
264.288.17.ldr.2 $264$ $2$ $2$ $17$ $?$ not computed
264.288.17.leh.2 $264$ $2$ $2$ $17$ $?$ not computed
312.288.15.dbx.2 $312$ $2$ $2$ $15$ $?$ not computed
312.288.15.dcj.2 $312$ $2$ $2$ $15$ $?$ not computed
312.288.15.ddt.2 $312$ $2$ $2$ $15$ $?$ not computed
312.288.15.def.2 $312$ $2$ $2$ $15$ $?$ not computed
312.288.15.dfp.2 $312$ $2$ $2$ $15$ $?$ not computed
312.288.15.dgb.2 $312$ $2$ $2$ $15$ $?$ not computed
312.288.15.dhl.2 $312$ $2$ $2$ $15$ $?$ not computed
312.288.15.dhx.2 $312$ $2$ $2$ $15$ $?$ not computed
312.288.17.jdn.2 $312$ $2$ $2$ $17$ $?$ not computed
312.288.17.jed.2 $312$ $2$ $2$ $17$ $?$ not computed
312.288.17.jfz.2 $312$ $2$ $2$ $17$ $?$ not computed
312.288.17.jgp.2 $312$ $2$ $2$ $17$ $?$ not computed
312.288.17.lal.2 $312$ $2$ $2$ $17$ $?$ not computed
312.288.17.lbb.2 $312$ $2$ $2$ $17$ $?$ not computed
312.288.17.lcx.2 $312$ $2$ $2$ $17$ $?$ not computed
312.288.17.ldn.2 $312$ $2$ $2$ $17$ $?$ not computed