Invariants
| Level: | $24$ | $\SL_2$-level: | $24$ | Newform level: | $36$ | ||
| Index: | $72$ | $\PSL_2$-index: | $36$ | ||||
| Genus: | $2 = 1 + \frac{ 36 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 4 }{2}$ | ||||||
| Cusps: | $4$ (all of which are rational) | Cusp widths | $3^{2}\cdot6\cdot24$ | Cusp orbits | $1^{4}$ | ||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ | ||||||
| Analytic rank: | $0$ | ||||||
| $\Q$-gonality: | $2$ | ||||||
| $\overline{\Q}$-gonality: | $2$ | ||||||
| Rational cusps: | $4$ | ||||||
| Rational CM points: | none |
Other labels
| Cummins and Pauli (CP) label: | 24B2 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 24.72.2.43 |
Level structure
| $\GL_2(\Z/24\Z)$-generators: | $\begin{bmatrix}3&7\\8&15\end{bmatrix}$, $\begin{bmatrix}3&14\\16&9\end{bmatrix}$, $\begin{bmatrix}9&1\\16&3\end{bmatrix}$, $\begin{bmatrix}17&17\\8&7\end{bmatrix}$, $\begin{bmatrix}23&8\\8&1\end{bmatrix}$, $\begin{bmatrix}23&23\\16&23\end{bmatrix}$ |
| Contains $-I$: | no $\quad$ (see 24.36.2.cj.1 for the level structure with $-I$) |
| Cyclic 24-isogeny field degree: | $4$ |
| Cyclic 24-torsion field degree: | $32$ |
| Full 24-torsion field degree: | $1024$ |
Jacobian
| Conductor: | $2^{4}\cdot3^{4}$ |
| Simple: | no |
| Squarefree: | no |
| Decomposition: | $1^{2}$ |
| Newforms: | 36.2.a.a$^{2}$ |
Models
Embedded model Embedded model in $\mathbb{P}^{3}$
| $ 0 $ | $=$ | $ x^{2} w + y w^{2} $ |
| $=$ | $x^{2} z + y z w$ | |
| $=$ | $x^{2} y + y^{2} w$ | |
| $=$ | $x^{3} + x y w$ | |
| $=$ | $\cdots$ |
Singular plane model Singular plane model
| $ 0 $ | $=$ | $ x^{5} - x y^{2} z^{2} - 2 y z^{4} $ |
Weierstrass model Weierstrass model
| $ y^{2} $ | $=$ | $ x^{6} + 1 $ |
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.
| Embedded model |
|---|
| $(0:0:0:1)$, $(0:-1:1:0)$, $(0:0:1:0)$, $(0:1:1:0)$ |
Maps to other modular curves
$j$-invariant map of degree 36 from the embedded model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle 2^6\,\frac{12xyz^{5}w-76xz^{3}w^{4}-16y^{2}w^{6}+48yz^{4}w^{3}-z^{8}-16z^{2}w^{6}}{wz^{5}yx}$ |
Map of degree 1 from the embedded model of this modular curve to the plane model of the modular curve 24.36.2.cj.1 :
| $\displaystyle X$ | $=$ | $\displaystyle x$ |
| $\displaystyle Y$ | $=$ | $\displaystyle 2z$ |
| $\displaystyle Z$ | $=$ | $\displaystyle \frac{1}{2}w$ |
Equation of the image curve:
| $0$ | $=$ | $ X^{5}-XY^{2}Z^{2}-2YZ^{4} $ |
Map of degree 1 from the embedded model of this modular curve to the Weierstrass model of the modular curve 24.36.2.cj.1 :
| $\displaystyle X$ | $=$ | $\displaystyle -\frac{1}{2}w$ |
| $\displaystyle Y$ | $=$ | $\displaystyle xzw+\frac{1}{8}w^{3}$ |
| $\displaystyle Z$ | $=$ | $\displaystyle -x$ |
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 |
|---|---|---|---|---|---|---|
| $X_{\mathrm{ns}}^+(3)$ | $3$ | $24$ | $12$ | $0$ | $0$ | full Jacobian |
| 8.24.0-8.n.1.10 | $8$ | $3$ | $3$ | $0$ | $0$ | full Jacobian |
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 8.24.0-8.n.1.10 | $8$ | $3$ | $3$ | $0$ | $0$ | full Jacobian |
| 12.36.1-12.c.1.7 | $12$ | $2$ | $2$ | $1$ | $0$ | $1$ |
| 24.36.1-12.c.1.21 | $24$ | $2$ | $2$ | $1$ | $0$ | $1$ |
This modular curve is minimally covered by the modular curves in the database listed below.
| Covering curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 24.144.3-24.nl.1.19 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.144.3-24.nn.1.24 | $24$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 24.144.3-24.np.1.13 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.144.3-24.nr.1.24 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.144.3-24.or.1.31 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.144.3-24.ot.1.23 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.144.3-24.ov.1.22 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.144.3-24.ox.1.23 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.144.4-24.ch.1.38 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.cp.1.3 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 24.144.4-24.dh.1.2 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.di.1.3 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 24.144.4-24.ez.1.17 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.fb.1.17 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 24.144.4-24.fd.1.21 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.ff.1.17 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 24.144.4-24.ge.1.28 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.ge.2.28 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.gf.1.28 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.gf.2.28 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.gg.1.10 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.gg.2.26 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.gh.1.14 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.gh.2.30 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.gi.1.14 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.gi.2.30 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.gj.1.10 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.gj.2.26 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.gk.1.28 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.gk.2.28 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.gl.1.28 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.gl.2.28 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.gn.1.16 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.gp.1.21 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.gr.1.20 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.gt.1.19 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.ht.1.15 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 24.144.4-24.hv.1.15 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.hx.1.15 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 24.144.4-24.hz.1.19 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 48.144.4-48.q.1.31 | $48$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 48.144.4-48.r.1.29 | $48$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 48.144.4-48.u.1.29 | $48$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 48.144.4-48.v.1.31 | $48$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 48.144.4-48.y.1.30 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.y.2.60 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.z.1.30 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.z.2.60 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.ba.1.50 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.ba.2.54 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.bb.1.58 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.bb.2.60 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.bc.1.58 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.bc.2.62 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.bd.1.50 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.bd.2.58 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.be.1.30 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.be.2.62 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.bf.1.30 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.bf.2.62 | $48$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 48.144.4-48.bg.1.30 | $48$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 48.144.4-48.bh.1.32 | $48$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 48.144.4-48.bk.1.32 | $48$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 48.144.4-48.bl.1.30 | $48$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 48.144.5-48.a.1.35 | $48$ | $2$ | $2$ | $5$ | $0$ | $1^{3}$ |
| 48.144.5-48.b.1.33 | $48$ | $2$ | $2$ | $5$ | $1$ | $1^{3}$ |
| 48.144.5-48.e.1.33 | $48$ | $2$ | $2$ | $5$ | $1$ | $1^{3}$ |
| 48.144.5-48.f.1.35 | $48$ | $2$ | $2$ | $5$ | $1$ | $1^{3}$ |
| 48.144.5-48.i.1.57 | $48$ | $2$ | $2$ | $5$ | $0$ | $1^{3}$ |
| 48.144.5-48.j.1.59 | $48$ | $2$ | $2$ | $5$ | $1$ | $1^{3}$ |
| 48.144.5-48.m.1.59 | $48$ | $2$ | $2$ | $5$ | $1$ | $1^{3}$ |
| 48.144.5-48.n.1.57 | $48$ | $2$ | $2$ | $5$ | $1$ | $1^{3}$ |
| 72.216.8-72.dh.1.38 | $72$ | $3$ | $3$ | $8$ | $?$ | not computed |
| 120.144.3-120.cbh.1.44 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.3-120.cbj.1.39 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.3-120.cbl.1.27 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.3-120.cbn.1.39 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.3-120.cdt.1.39 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.3-120.cdv.1.35 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.3-120.cdx.1.22 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.3-120.cdz.1.22 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.4-120.jh.1.43 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.jj.1.10 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.jl.1.10 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.jn.1.10 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.mb.1.41 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.md.1.33 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.mf.1.37 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.mh.1.33 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.om.1.46 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.om.2.42 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.on.1.46 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.on.2.42 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.oo.1.22 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.oo.2.22 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.op.1.22 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.op.2.22 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.oq.1.22 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.oq.2.22 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.or.1.22 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.or.2.22 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.os.1.42 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.os.2.46 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.ot.1.42 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.ot.2.46 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.ov.1.26 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.ox.1.42 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.oz.1.37 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.pb.1.42 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.rh.1.18 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.rj.1.18 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.rl.1.18 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.rn.1.19 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.360.14-120.fd.1.88 | $120$ | $5$ | $5$ | $14$ | $?$ | not computed |
| 120.432.15-120.hx.1.174 | $120$ | $6$ | $6$ | $15$ | $?$ | not computed |
| 168.144.3-168.byn.1.44 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.3-168.byp.1.39 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.3-168.byr.1.38 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.3-168.byt.1.39 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.3-168.caz.1.21 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.3-168.cbb.1.37 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.3-168.cbd.1.35 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.3-168.cbf.1.37 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.4-168.ir.1.43 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.it.1.10 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.iv.1.9 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.ix.1.10 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.ld.1.41 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.lf.1.33 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.lh.1.37 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.lj.1.33 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.no.1.54 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.no.2.54 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.np.1.54 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.np.2.54 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.nq.1.22 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.nq.2.22 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.nr.1.22 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.nr.2.22 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.ns.1.22 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.ns.2.22 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.nt.1.22 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.nt.2.22 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.nu.1.54 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.nu.2.54 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.nv.1.54 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.nv.2.54 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.nx.1.37 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.nz.1.42 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.ob.1.25 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.od.1.38 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.qj.1.17 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.ql.1.17 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.qn.1.17 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.qp.1.19 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.bw.1.54 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.bx.1.38 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.ca.1.70 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.cb.1.86 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.ce.1.76 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.ce.2.92 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.cf.1.44 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.cf.2.92 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.cg.1.74 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.cg.2.106 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.ch.1.74 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.ch.2.106 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.ci.1.74 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.ci.2.106 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.cj.1.74 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.cj.2.106 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.ck.1.44 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.ck.2.108 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.cl.1.76 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.cl.2.108 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.cm.1.34 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.cn.1.50 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.cq.1.82 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.4-240.cr.1.66 | $240$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 240.144.5-240.a.1.63 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.144.5-240.b.1.47 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.144.5-240.e.1.79 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.144.5-240.f.1.95 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.144.5-240.i.1.66 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.144.5-240.j.1.98 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.144.5-240.m.1.98 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.144.5-240.n.1.66 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.144.3-264.byn.1.44 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.3-264.byp.1.40 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.3-264.byr.1.38 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.3-264.byt.1.40 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.3-264.caz.1.23 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.3-264.cbb.1.38 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.3-264.cbd.1.36 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.3-264.cbf.1.38 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.4-264.ir.1.43 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.it.1.10 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.iv.1.9 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.ix.1.10 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.ld.1.41 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.lf.1.33 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.lh.1.37 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.lj.1.33 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.no.1.54 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.no.2.54 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.np.1.54 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.np.2.54 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.nq.1.22 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.nq.2.22 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.nr.1.22 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.nr.2.22 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.ns.1.22 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.ns.2.22 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.nt.1.22 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.nt.2.22 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.nu.1.54 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.nu.2.54 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.nv.1.54 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.nv.2.54 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.nx.1.37 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.nz.1.42 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.ob.1.25 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.od.1.27 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.qj.1.17 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.ql.1.17 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.qn.1.17 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.qp.1.19 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.3-312.byn.1.44 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.3-312.byp.1.39 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.3-312.byr.1.38 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.3-312.byt.1.39 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.3-312.caz.1.39 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.3-312.cbb.1.37 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.3-312.cbd.1.22 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.3-312.cbf.1.26 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.4-312.jh.1.43 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.jj.1.10 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.jl.1.10 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.jn.1.10 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.mb.1.41 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.md.1.33 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.mf.1.26 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.mh.1.18 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.om.1.54 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.om.2.54 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.on.1.54 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.on.2.54 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.oo.1.21 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.oo.2.53 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.op.1.21 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.op.2.53 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.oq.1.21 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.oq.2.53 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.or.1.21 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.or.2.53 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.os.1.54 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.os.2.54 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.ot.1.54 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.ot.2.54 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.ov.1.26 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.ox.1.42 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.oz.1.37 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.pb.1.42 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.rh.1.18 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.rj.1.18 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.rl.1.18 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.rn.1.19 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |