Invariants
| Level: | $24$ | $\SL_2$-level: | $24$ | Newform level: | $144$ | ||
| Index: | $144$ | $\PSL_2$-index: | $72$ | ||||
| Genus: | $4 = 1 + \frac{ 72 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 6 }{2}$ | ||||||
| Cusps: | $6$ (of which $4$ are rational) | Cusp widths | $6^{4}\cdot24^{2}$ | Cusp orbits | $1^{4}\cdot2$ | ||
| 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: | 24D4 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 24.144.4.35 |
Level structure
| $\GL_2(\Z/24\Z)$-generators: | $\begin{bmatrix}7&0\\0&13\end{bmatrix}$, $\begin{bmatrix}7&6\\0&13\end{bmatrix}$, $\begin{bmatrix}7&18\\0&5\end{bmatrix}$, $\begin{bmatrix}11&20\\16&17\end{bmatrix}$, $\begin{bmatrix}17&22\\16&13\end{bmatrix}$, $\begin{bmatrix}21&10\\16&21\end{bmatrix}$ |
| Contains $-I$: | no $\quad$ (see 24.72.4.ch.1 for the level structure with $-I$) |
| Cyclic 24-isogeny field degree: | $4$ |
| Cyclic 24-torsion field degree: | $32$ |
| Full 24-torsion field degree: | $512$ |
Jacobian
| Conductor: | $2^{10}\cdot3^{8}$ |
| Simple: | no |
| Squarefree: | no |
| Decomposition: | $1^{4}$ |
| Newforms: | 36.2.a.a$^{3}$, 144.2.a.a |
Models
Canonical model in $\mathbb{P}^{ 3 }$
| $ 0 $ | $=$ | $ 4 y^{2} + z w $ |
| $=$ | $x^{3} + y z^{2} - y w^{2}$ |
Singular plane model Singular plane model
| $ 0 $ | $=$ | $ x^{5} - x z^{4} + 2 y^{3} z^{2} $ |
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 |
|---|
| $(0:0:1:0)$, $(0:1/2:-1:1)$, $(0:0:0:1)$, $(0:-1/2:-1:1)$ |
Maps to other modular curves
$j$-invariant map of degree 72 from the canonical model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle 2^8\,\frac{(z^{4}-z^{2}w^{2}+w^{4})^{3}}{w^{4}z^{4}(z-w)^{2}(z+w)^{2}}$ |
Map of degree 1 from the canonical model of this modular curve to the plane model of the modular curve 24.72.4.ch.1 :
| $\displaystyle X$ | $=$ | $\displaystyle y$ |
| $\displaystyle Y$ | $=$ | $\displaystyle \frac{1}{2}x$ |
| $\displaystyle Z$ | $=$ | $\displaystyle \frac{1}{2}w$ |
Equation of the image curve:
| $0$ | $=$ | $ X^{5}+2Y^{3}Z^{2}-XZ^{4} $ |
Modular covers
The following modular covers realize this modular curve as a fiber product over $X(1)$.
| Factor curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| $X_{\mathrm{ns}}^+(3)$ | $3$ | $48$ | $24$ | $0$ | $0$ | full Jacobian |
| 8.48.0-8.i.1.2 | $8$ | $3$ | $3$ | $0$ | $0$ | full Jacobian |
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 8.48.0-8.i.1.2 | $8$ | $3$ | $3$ | $0$ | $0$ | full Jacobian |
| 12.72.2-12.b.1.9 | $12$ | $2$ | $2$ | $2$ | $0$ | $1^{2}$ |
| 24.72.2-12.b.1.30 | $24$ | $2$ | $2$ | $2$ | $0$ | $1^{2}$ |
| 24.72.2-24.cj.1.5 | $24$ | $2$ | $2$ | $2$ | $0$ | $1^{2}$ |
| 24.72.2-24.cj.1.44 | $24$ | $2$ | $2$ | $2$ | $0$ | $1^{2}$ |
| 24.72.2-24.cw.1.5 | $24$ | $2$ | $2$ | $2$ | $0$ | $1^{2}$ |
| 24.72.2-24.cw.1.28 | $24$ | $2$ | $2$ | $2$ | $0$ | $1^{2}$ |
This modular curve is minimally covered by the modular curves in the database listed below.
| Covering curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 24.288.7-24.gz.1.11 | $24$ | $2$ | $2$ | $7$ | $0$ | $1^{3}$ |
| 24.288.7-24.ha.1.5 | $24$ | $2$ | $2$ | $7$ | $2$ | $1^{3}$ |
| 24.288.7-24.hh.1.9 | $24$ | $2$ | $2$ | $7$ | $0$ | $1^{3}$ |
| 24.288.7-24.hi.1.11 | $24$ | $2$ | $2$ | $7$ | $1$ | $1^{3}$ |
| 24.288.7-24.ih.1.9 | $24$ | $2$ | $2$ | $7$ | $0$ | $1^{3}$ |
| 24.288.7-24.ii.1.5 | $24$ | $2$ | $2$ | $7$ | $0$ | $1^{3}$ |
| 24.288.7-24.il.1.6 | $24$ | $2$ | $2$ | $7$ | $0$ | $1^{3}$ |
| 24.288.7-24.im.1.5 | $24$ | $2$ | $2$ | $7$ | $0$ | $1^{3}$ |
| 24.288.8-24.fe.1.17 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fe.2.1 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.ff.1.22 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.ff.2.10 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fg.1.11 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fg.2.10 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fh.1.12 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fh.2.12 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fi.1.11 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fi.2.11 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fj.1.14 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fj.2.14 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fk.1.14 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fk.2.10 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fl.1.13 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fl.2.9 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fm.1.12 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fm.2.12 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fn.1.10 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fn.2.8 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fo.1.18 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fo.2.2 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fp.1.19 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.8-24.fp.2.9 | $24$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 24.288.9-24.cs.1.42 | $24$ | $2$ | $2$ | $9$ | $1$ | $1^{5}$ |
| 24.288.9-24.et.1.22 | $24$ | $2$ | $2$ | $9$ | $1$ | $1^{5}$ |
| 24.288.9-24.je.1.22 | $24$ | $2$ | $2$ | $9$ | $1$ | $1^{5}$ |
| 24.288.9-24.jf.1.22 | $24$ | $2$ | $2$ | $9$ | $2$ | $1^{5}$ |
| 24.288.9-24.mc.1.9 | $24$ | $2$ | $2$ | $9$ | $1$ | $1^{5}$ |
| 24.288.9-24.md.1.13 | $24$ | $2$ | $2$ | $9$ | $0$ | $1^{5}$ |
| 24.288.9-24.mo.1.9 | $24$ | $2$ | $2$ | $9$ | $2$ | $1^{5}$ |
| 24.288.9-24.mp.1.13 | $24$ | $2$ | $2$ | $9$ | $1$ | $1^{5}$ |
| 48.288.8-48.j.1.13 | $48$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 48.288.8-48.j.2.25 | $48$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 48.288.8-48.l.1.5 | $48$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 48.288.8-48.l.2.13 | $48$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 48.288.8-48.n.1.39 | $48$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 48.288.8-48.n.2.36 | $48$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 48.288.8-48.p.1.6 | $48$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 48.288.8-48.p.2.14 | $48$ | $2$ | $2$ | $8$ | $0$ | $2^{2}$ |
| 48.288.9-48.a.1.13 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{5}$ |
| 48.288.9-48.a.2.6 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{5}$ |
| 48.288.9-48.b.1.35 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{5}$ |
| 48.288.9-48.b.2.11 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{5}$ |
| 48.288.9-48.c.1.11 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{5}$ |
| 48.288.9-48.c.2.8 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{5}$ |
| 48.288.9-48.d.1.11 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{5}$ |
| 48.288.9-48.d.2.7 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{5}$ |
| 48.288.9-48.e.1.18 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{5}$ |
| 48.288.9-48.e.2.14 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{5}$ |
| 48.288.9-48.f.1.5 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{5}$ |
| 48.288.9-48.f.2.4 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{5}$ |
| 48.288.9-48.g.1.37 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{5}$ |
| 48.288.9-48.g.2.21 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{5}$ |
| 48.288.9-48.h.1.5 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{5}$ |
| 48.288.9-48.h.2.3 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{5}$ |
| 48.288.10-48.j.1.23 | $48$ | $2$ | $2$ | $10$ | $0$ | $2\cdot4$ |
| 48.288.10-48.j.2.20 | $48$ | $2$ | $2$ | $10$ | $0$ | $2\cdot4$ |
| 48.288.10-48.l.1.6 | $48$ | $2$ | $2$ | $10$ | $0$ | $2\cdot4$ |
| 48.288.10-48.l.2.14 | $48$ | $2$ | $2$ | $10$ | $0$ | $2\cdot4$ |
| 48.288.10-48.n.1.11 | $48$ | $2$ | $2$ | $10$ | $0$ | $2\cdot4$ |
| 48.288.10-48.n.2.17 | $48$ | $2$ | $2$ | $10$ | $0$ | $2\cdot4$ |
| 48.288.10-48.p.1.3 | $48$ | $2$ | $2$ | $10$ | $0$ | $2\cdot4$ |
| 48.288.10-48.p.2.10 | $48$ | $2$ | $2$ | $10$ | $0$ | $2\cdot4$ |
| 72.432.16-72.ch.1.11 | $72$ | $3$ | $3$ | $16$ | $?$ | not computed |
| 120.288.7-120.bmh.1.46 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.bmi.1.46 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.bml.1.18 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.bmm.1.46 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.bmx.1.45 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.bmy.1.46 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.bnb.1.48 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.bnc.1.46 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.8-120.pi.1.33 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pi.2.33 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pj.1.41 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pj.2.41 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pk.1.23 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pk.2.9 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pl.1.23 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pl.2.9 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pm.1.19 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pm.2.19 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pn.1.19 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pn.2.19 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.po.1.51 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.po.2.35 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pp.1.50 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pp.2.34 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pq.1.23 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pq.2.9 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pr.1.22 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pr.2.5 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.ps.1.33 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.ps.2.33 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pt.1.37 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.8-120.pt.2.41 | $120$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 120.288.9-120.bbm.1.58 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 120.288.9-120.bbn.1.46 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 120.288.9-120.bby.1.46 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 120.288.9-120.bbz.1.46 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 120.288.9-120.ble.1.24 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 120.288.9-120.blf.1.28 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 120.288.9-120.blq.1.24 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 120.288.9-120.blr.1.28 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 168.288.7-168.bjb.1.45 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.288.7-168.bjc.1.21 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.288.7-168.bjf.1.17 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.288.7-168.bjg.1.45 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.288.7-168.bjr.1.11 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.288.7-168.bjs.1.21 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.288.7-168.bjv.1.23 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.288.7-168.bjw.1.21 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.288.8-168.pa.1.33 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pa.2.17 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pb.1.41 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pb.2.41 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pc.1.39 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pc.2.10 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pd.1.39 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pd.2.10 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pe.1.36 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pe.2.36 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pf.1.38 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pf.2.36 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pg.1.51 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pg.2.35 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.ph.1.50 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.ph.2.34 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pi.1.39 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pi.2.10 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pj.1.38 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pj.2.6 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pk.1.33 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pk.2.33 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pl.1.41 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.8-168.pl.2.37 | $168$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 168.288.9-168.bbe.1.57 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 168.288.9-168.bbf.1.29 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 168.288.9-168.bbq.1.45 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 168.288.9-168.bbr.1.29 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 168.288.9-168.bks.1.23 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 168.288.9-168.bkt.1.27 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 168.288.9-168.ble.1.23 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 168.288.9-168.blf.1.27 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.288.8-240.r.1.45 | $240$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 240.288.8-240.r.2.89 | $240$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 240.288.8-240.t.1.21 | $240$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 240.288.8-240.t.2.41 | $240$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 240.288.8-240.v.1.90 | $240$ | $2$ | $2$ | $8$ | $?$ | not computed |
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| 240.288.9-240.b.2.37 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
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| 240.288.9-240.f.2.11 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
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| 240.288.9-240.g.2.85 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
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| 240.288.10-240.r.2.86 | $240$ | $2$ | $2$ | $10$ | $?$ | not computed |
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| 240.288.10-240.t.2.42 | $240$ | $2$ | $2$ | $10$ | $?$ | not computed |
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| 240.288.10-240.v.2.44 | $240$ | $2$ | $2$ | $10$ | $?$ | not computed |
| 240.288.10-240.x.1.12 | $240$ | $2$ | $2$ | $10$ | $?$ | not computed |
| 240.288.10-240.x.2.22 | $240$ | $2$ | $2$ | $10$ | $?$ | not computed |
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| 264.288.7-264.bjc.1.22 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 264.288.7-264.bjf.1.18 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
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| 264.288.7-264.bjr.1.12 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 264.288.7-264.bjs.1.22 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 264.288.7-264.bjv.1.24 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 264.288.7-264.bjw.1.22 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 264.288.8-264.pb.1.33 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pb.2.33 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pc.1.41 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pc.2.41 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pd.1.36 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pd.2.5 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pe.1.39 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pe.2.9 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pf.1.35 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pf.2.35 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pg.1.35 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pg.2.35 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.ph.1.51 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.ph.2.35 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
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| 264.288.8-264.pi.2.34 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pj.1.39 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pj.2.9 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pk.1.36 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pk.2.5 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pl.1.33 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pl.2.33 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pm.1.41 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.8-264.pm.2.37 | $264$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 264.288.9-264.bbe.1.57 | $264$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 264.288.9-264.bbf.1.45 | $264$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 264.288.9-264.bbq.1.45 | $264$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 264.288.9-264.bbr.1.45 | $264$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 264.288.9-264.bkw.1.16 | $264$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 264.288.9-264.bkx.1.16 | $264$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 264.288.9-264.bli.1.16 | $264$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 264.288.9-264.blj.1.28 | $264$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 312.288.7-312.bjb.1.45 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.288.7-312.bjc.1.45 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.288.7-312.bjf.1.17 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.288.7-312.bjg.1.45 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.288.7-312.bjr.1.45 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.288.7-312.bjs.1.45 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.288.7-312.bjv.1.47 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.288.7-312.bjw.1.45 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.288.8-312.pi.1.33 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pi.2.33 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pj.1.41 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pj.2.41 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pk.1.39 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pk.2.10 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pl.1.39 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pl.2.10 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pm.1.36 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pm.2.36 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pn.1.36 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pn.2.36 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.po.1.51 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.po.2.35 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pp.1.50 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pp.2.34 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pq.1.39 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pq.2.10 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pr.1.38 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pr.2.6 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.ps.1.33 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.ps.2.33 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pt.1.37 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.8-312.pt.2.41 | $312$ | $2$ | $2$ | $8$ | $?$ | not computed |
| 312.288.9-312.bbe.1.58 | $312$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 312.288.9-312.bbf.1.46 | $312$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 312.288.9-312.bbq.1.46 | $312$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 312.288.9-312.bbr.1.46 | $312$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 312.288.9-312.bks.1.23 | $312$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 312.288.9-312.bkt.1.27 | $312$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 312.288.9-312.ble.1.23 | $312$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 312.288.9-312.blf.1.27 | $312$ | $2$ | $2$ | $9$ | $?$ | not computed |