Properties

Label 24.72.2-24.cj.1.18
Level $24$
Index $72$
Genus $2$
Analytic rank $0$
Cusps $4$
$\Q$-cusps $4$

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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: 24.72.2.1004

Level structure

$\GL_2(\Z/24\Z)$-generators: $\begin{bmatrix}3&14\\16&9\end{bmatrix}$, $\begin{bmatrix}5&16\\16&1\end{bmatrix}$, $\begin{bmatrix}13&18\\0&5\end{bmatrix}$, $\begin{bmatrix}19&3\\0&13\end{bmatrix}$, $\begin{bmatrix}19&16\\16&11\end{bmatrix}$, $\begin{bmatrix}21&16\\8&9\end{bmatrix}$
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$
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Singular plane model Singular plane model

$ 0 $ $=$ $ x^{5} - x y^{2} z^{2} - 2 y z^{4} $
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Weierstrass model Weierstrass model

$ y^{2} $ $=$ $ x^{6} + 1 $
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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.

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

This modular curve minimally covers the modular curves listed below.

Covered curve Level Index Degree Genus Rank Kernel decomposition
24.24.0-8.n.1.7 $24$ $3$ $3$ $0$ $0$ 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
24.144.3-24.nl.1.12 $24$ $2$ $2$ $3$ $0$ $1$
24.144.3-24.nn.1.8 $24$ $2$ $2$ $3$ $1$ $1$
24.144.3-24.np.1.11 $24$ $2$ $2$ $3$ $0$ $1$
24.144.3-24.nr.1.6 $24$ $2$ $2$ $3$ $0$ $1$
24.144.3-24.or.1.9 $24$ $2$ $2$ $3$ $0$ $1$
24.144.3-24.ot.1.11 $24$ $2$ $2$ $3$ $0$ $1$
24.144.3-24.ov.1.9 $24$ $2$ $2$ $3$ $0$ $1$
24.144.3-24.ox.1.9 $24$ $2$ $2$ $3$ $0$ $1$
24.144.4-24.ch.1.41 $24$ $2$ $2$ $4$ $0$ $1^{2}$
24.144.4-24.cp.1.16 $24$ $2$ $2$ $4$ $1$ $1^{2}$
24.144.4-24.dh.1.17 $24$ $2$ $2$ $4$ $0$ $1^{2}$
24.144.4-24.di.1.14 $24$ $2$ $2$ $4$ $1$ $1^{2}$
24.144.4-24.ez.1.1 $24$ $2$ $2$ $4$ $0$ $1^{2}$
24.144.4-24.fb.1.1 $24$ $2$ $2$ $4$ $1$ $1^{2}$
24.144.4-24.fd.1.9 $24$ $2$ $2$ $4$ $0$ $1^{2}$
24.144.4-24.ff.1.5 $24$ $2$ $2$ $4$ $1$ $1^{2}$
24.144.4-24.ge.1.10 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.ge.1.23 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.ge.2.16 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.ge.2.17 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gf.1.7 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gf.1.26 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gf.2.1 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gf.2.32 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gg.1.15 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gg.1.18 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gg.2.12 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gg.2.21 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gh.1.15 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gh.1.18 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gh.2.12 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gh.2.21 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gi.1.13 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gi.1.20 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gi.2.10 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gi.2.23 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gj.1.13 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gj.1.20 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gj.2.10 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gj.2.23 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gk.1.5 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gk.1.28 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gk.2.3 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gk.2.30 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gl.1.12 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gl.1.21 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gl.2.14 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gl.2.19 $24$ $2$ $2$ $4$ $0$ $2$
24.144.4-24.gn.1.12 $24$ $2$ $2$ $4$ $0$ $1^{2}$
24.144.4-24.gp.1.12 $24$ $2$ $2$ $4$ $0$ $1^{2}$
24.144.4-24.gr.1.5 $24$ $2$ $2$ $4$ $0$ $1^{2}$
24.144.4-24.gt.1.6 $24$ $2$ $2$ $4$ $0$ $1^{2}$
24.144.4-24.ht.1.12 $24$ $2$ $2$ $4$ $1$ $1^{2}$
24.144.4-24.hv.1.11 $24$ $2$ $2$ $4$ $0$ $1^{2}$
24.144.4-24.hx.1.5 $24$ $2$ $2$ $4$ $1$ $1^{2}$
24.144.4-24.hz.1.14 $24$ $2$ $2$ $4$ $0$ $1^{2}$
48.144.4-48.q.1.14 $48$ $2$ $2$ $4$ $1$ $1^{2}$
48.144.4-48.q.1.51 $48$ $2$ $2$ $4$ $1$ $1^{2}$
48.144.4-48.r.1.10 $48$ $2$ $2$ $4$ $0$ $1^{2}$
48.144.4-48.r.1.55 $48$ $2$ $2$ $4$ $0$ $1^{2}$
48.144.4-48.u.1.10 $48$ $2$ $2$ $4$ $0$ $1^{2}$
48.144.4-48.u.1.55 $48$ $2$ $2$ $4$ $0$ $1^{2}$
48.144.4-48.v.1.14 $48$ $2$ $2$ $4$ $0$ $1^{2}$
48.144.4-48.v.1.51 $48$ $2$ $2$ $4$ $0$ $1^{2}$
48.144.4-48.y.1.12 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.y.1.53 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.y.2.20 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.y.2.45 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.z.1.24 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.z.1.41 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.z.2.21 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.z.2.44 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.ba.1.20 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.ba.1.45 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.ba.2.28 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.ba.2.37 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bb.1.18 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bb.1.47 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bb.2.22 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bb.2.43 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bc.1.20 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bc.1.45 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bc.2.18 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bc.2.47 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bd.1.24 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bd.1.41 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bd.2.20 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bd.2.45 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.be.1.22 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.be.1.43 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.be.2.17 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.be.2.48 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bf.1.10 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bf.1.55 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bf.2.24 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bf.2.41 $48$ $2$ $2$ $4$ $0$ $2$
48.144.4-48.bg.1.10 $48$ $2$ $2$ $4$ $0$ $1^{2}$
48.144.4-48.bg.1.55 $48$ $2$ $2$ $4$ $0$ $1^{2}$
48.144.4-48.bh.1.14 $48$ $2$ $2$ $4$ $1$ $1^{2}$
48.144.4-48.bh.1.51 $48$ $2$ $2$ $4$ $1$ $1^{2}$
48.144.4-48.bk.1.14 $48$ $2$ $2$ $4$ $0$ $1^{2}$
48.144.4-48.bk.1.51 $48$ $2$ $2$ $4$ $0$ $1^{2}$
48.144.4-48.bl.1.10 $48$ $2$ $2$ $4$ $1$ $1^{2}$
48.144.4-48.bl.1.55 $48$ $2$ $2$ $4$ $1$ $1^{2}$
48.144.5-48.a.1.9 $48$ $2$ $2$ $5$ $0$ $1^{3}$
48.144.5-48.a.1.56 $48$ $2$ $2$ $5$ $0$ $1^{3}$
48.144.5-48.b.1.13 $48$ $2$ $2$ $5$ $1$ $1^{3}$
48.144.5-48.b.1.52 $48$ $2$ $2$ $5$ $1$ $1^{3}$
48.144.5-48.e.1.13 $48$ $2$ $2$ $5$ $1$ $1^{3}$
48.144.5-48.e.1.52 $48$ $2$ $2$ $5$ $1$ $1^{3}$
48.144.5-48.f.1.9 $48$ $2$ $2$ $5$ $1$ $1^{3}$
48.144.5-48.f.1.56 $48$ $2$ $2$ $5$ $1$ $1^{3}$
48.144.5-48.i.1.20 $48$ $2$ $2$ $5$ $0$ $1^{3}$
48.144.5-48.i.1.45 $48$ $2$ $2$ $5$ $0$ $1^{3}$
48.144.5-48.j.1.20 $48$ $2$ $2$ $5$ $1$ $1^{3}$
48.144.5-48.j.1.45 $48$ $2$ $2$ $5$ $1$ $1^{3}$
48.144.5-48.m.1.20 $48$ $2$ $2$ $5$ $1$ $1^{3}$
48.144.5-48.m.1.45 $48$ $2$ $2$ $5$ $1$ $1^{3}$
48.144.5-48.n.1.20 $48$ $2$ $2$ $5$ $1$ $1^{3}$
48.144.5-48.n.1.45 $48$ $2$ $2$ $5$ $1$ $1^{3}$
72.216.8-72.dh.1.12 $72$ $3$ $3$ $8$ $?$ not computed
120.144.3-120.cbh.1.23 $120$ $2$ $2$ $3$ $?$ not computed
120.144.3-120.cbj.1.4 $120$ $2$ $2$ $3$ $?$ not computed
120.144.3-120.cbl.1.11 $120$ $2$ $2$ $3$ $?$ not computed
120.144.3-120.cbn.1.12 $120$ $2$ $2$ $3$ $?$ not computed
120.144.3-120.cdt.1.16 $120$ $2$ $2$ $3$ $?$ not computed
120.144.3-120.cdv.1.8 $120$ $2$ $2$ $3$ $?$ not computed
120.144.3-120.cdx.1.4 $120$ $2$ $2$ $3$ $?$ not computed
120.144.3-120.cdz.1.4 $120$ $2$ $2$ $3$ $?$ not computed
120.144.4-120.jh.1.25 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.jj.1.24 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.jl.1.21 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.jn.1.32 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.mb.1.17 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.md.1.1 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.mf.1.9 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.mh.1.9 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.om.1.10 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.om.1.55 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.om.2.26 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.om.2.39 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.on.1.10 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.on.1.55 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.on.2.26 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.on.2.39 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.oo.1.25 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.oo.1.40 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.oo.2.16 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.oo.2.49 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.op.1.25 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.op.1.40 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.op.2.16 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.op.2.49 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.oq.1.17 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.oq.1.48 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.oq.2.8 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.oq.2.57 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.or.1.17 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.or.1.48 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.or.2.8 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.or.2.57 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.os.1.10 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.os.1.55 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.os.2.26 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.os.2.39 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.ot.1.10 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.ot.1.55 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.ot.2.26 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.ot.2.39 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.ov.1.17 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.ox.1.32 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.oz.1.16 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.pb.1.24 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.rh.1.28 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.rj.1.32 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.rl.1.5 $120$ $2$ $2$ $4$ $?$ not computed
120.144.4-120.rn.1.29 $120$ $2$ $2$ $4$ $?$ not computed
120.360.14-120.fd.1.64 $120$ $5$ $5$ $14$ $?$ not computed
120.432.15-120.hx.1.127 $120$ $6$ $6$ $15$ $?$ not computed
168.144.3-168.byn.1.29 $168$ $2$ $2$ $3$ $?$ not computed
168.144.3-168.byp.1.23 $168$ $2$ $2$ $3$ $?$ not computed
168.144.3-168.byr.1.29 $168$ $2$ $2$ $3$ $?$ not computed
168.144.3-168.byt.1.31 $168$ $2$ $2$ $3$ $?$ not computed
168.144.3-168.caz.1.11 $168$ $2$ $2$ $3$ $?$ not computed
168.144.3-168.cbb.1.27 $168$ $2$ $2$ $3$ $?$ not computed
168.144.3-168.cbd.1.11 $168$ $2$ $2$ $3$ $?$ not computed
168.144.3-168.cbf.1.3 $168$ $2$ $2$ $3$ $?$ not computed
168.144.4-168.ir.1.14 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.it.1.24 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.iv.1.30 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.ix.1.32 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.ld.1.18 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.lf.1.2 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.lh.1.10 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.lj.1.10 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.no.1.30 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.no.1.35 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.no.2.18 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.no.2.47 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.np.1.30 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.np.1.35 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.np.2.18 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.np.2.47 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.nq.1.25 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.nq.1.40 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.nq.2.16 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.nq.2.49 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.nr.1.25 $168$ $2$ $2$ $4$ $?$ not computed
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168.144.4-168.nr.2.49 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.ns.1.17 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.ns.1.48 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.ns.2.8 $168$ $2$ $2$ $4$ $?$ not computed
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168.144.4-168.nu.1.26 $168$ $2$ $2$ $4$ $?$ not computed
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168.144.4-168.nv.1.39 $168$ $2$ $2$ $4$ $?$ not computed
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168.144.4-168.nv.2.43 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.nx.1.27 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.nz.1.29 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.ob.1.11 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.od.1.29 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.qj.1.31 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.ql.1.27 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.qn.1.6 $168$ $2$ $2$ $4$ $?$ not computed
168.144.4-168.qp.1.38 $168$ $2$ $2$ $4$ $?$ not computed
240.144.4-240.bw.1.41 $240$ $2$ $2$ $4$ $?$ not computed
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240.144.4-240.cg.1.12 $240$ $2$ $2$ $4$ $?$ not computed
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240.144.4-240.cg.2.69 $240$ $2$ $2$ $4$ $?$ not computed
240.144.4-240.ch.1.12 $240$ $2$ $2$ $4$ $?$ not computed
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240.144.4-240.ci.1.28 $240$ $2$ $2$ $4$ $?$ not computed
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240.144.4-240.cj.1.28 $240$ $2$ $2$ $4$ $?$ not computed
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240.144.4-240.cl.1.10 $240$ $2$ $2$ $4$ $?$ not computed
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240.144.4-240.cm.1.21 $240$ $2$ $2$ $4$ $?$ not computed
240.144.4-240.cm.1.108 $240$ $2$ $2$ $4$ $?$ not computed
240.144.4-240.cn.1.45 $240$ $2$ $2$ $4$ $?$ not computed
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240.144.4-240.cq.1.29 $240$ $2$ $2$ $4$ $?$ not computed
240.144.4-240.cq.1.100 $240$ $2$ $2$ $4$ $?$ not computed
240.144.4-240.cr.1.13 $240$ $2$ $2$ $4$ $?$ not computed
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240.144.5-240.a.1.11 $240$ $2$ $2$ $5$ $?$ not computed
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240.144.5-240.b.1.27 $240$ $2$ $2$ $5$ $?$ not computed
240.144.5-240.b.1.102 $240$ $2$ $2$ $5$ $?$ not computed
240.144.5-240.e.1.43 $240$ $2$ $2$ $5$ $?$ not computed
240.144.5-240.e.1.86 $240$ $2$ $2$ $5$ $?$ not computed
240.144.5-240.f.1.19 $240$ $2$ $2$ $5$ $?$ not computed
240.144.5-240.f.1.110 $240$ $2$ $2$ $5$ $?$ not computed
240.144.5-240.i.1.11 $240$ $2$ $2$ $5$ $?$ not computed
240.144.5-240.i.1.118 $240$ $2$ $2$ $5$ $?$ not computed
240.144.5-240.j.1.54 $240$ $2$ $2$ $5$ $?$ not computed
240.144.5-240.j.1.75 $240$ $2$ $2$ $5$ $?$ not computed
240.144.5-240.m.1.43 $240$ $2$ $2$ $5$ $?$ not computed
240.144.5-240.m.1.86 $240$ $2$ $2$ $5$ $?$ not computed
240.144.5-240.n.1.11 $240$ $2$ $2$ $5$ $?$ not computed
240.144.5-240.n.1.118 $240$ $2$ $2$ $5$ $?$ not computed
264.144.3-264.byn.1.25 $264$ $2$ $2$ $3$ $?$ not computed
264.144.3-264.byp.1.1 $264$ $2$ $2$ $3$ $?$ not computed
264.144.3-264.byr.1.13 $264$ $2$ $2$ $3$ $?$ not computed
264.144.3-264.byt.1.9 $264$ $2$ $2$ $3$ $?$ not computed
264.144.3-264.caz.1.5 $264$ $2$ $2$ $3$ $?$ not computed
264.144.3-264.cbb.1.9 $264$ $2$ $2$ $3$ $?$ not computed
264.144.3-264.cbd.1.1 $264$ $2$ $2$ $3$ $?$ not computed
264.144.3-264.cbf.1.1 $264$ $2$ $2$ $3$ $?$ not computed
264.144.4-264.ir.1.26 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.it.1.31 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.iv.1.22 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.ix.1.23 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.ld.1.18 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.lf.1.2 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.lh.1.10 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.lj.1.10 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.no.1.18 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.no.1.47 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.no.2.30 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.no.2.35 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.np.1.18 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.np.1.47 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.np.2.30 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.np.2.35 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nq.1.25 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nq.1.40 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nq.2.16 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nq.2.49 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nr.1.25 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nr.1.40 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nr.2.16 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nr.2.49 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.ns.1.17 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.ns.1.48 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.ns.2.8 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.ns.2.57 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nt.1.17 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nt.1.48 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nt.2.8 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nt.2.57 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nu.1.22 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nu.1.43 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nu.2.26 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nu.2.39 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nv.1.22 $264$ $2$ $2$ $4$ $?$ not computed
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264.144.4-264.nv.2.26 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nv.2.39 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nx.1.27 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.nz.1.32 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.ob.1.11 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.od.1.16 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.qj.1.31 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.ql.1.27 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.qn.1.10 $264$ $2$ $2$ $4$ $?$ not computed
264.144.4-264.qp.1.34 $264$ $2$ $2$ $4$ $?$ not computed
312.144.3-312.byn.1.23 $312$ $2$ $2$ $3$ $?$ not computed
312.144.3-312.byp.1.4 $312$ $2$ $2$ $3$ $?$ not computed
312.144.3-312.byr.1.11 $312$ $2$ $2$ $3$ $?$ not computed
312.144.3-312.byt.1.12 $312$ $2$ $2$ $3$ $?$ not computed
312.144.3-312.caz.1.16 $312$ $2$ $2$ $3$ $?$ not computed
312.144.3-312.cbb.1.12 $312$ $2$ $2$ $3$ $?$ not computed
312.144.3-312.cbd.1.4 $312$ $2$ $2$ $3$ $?$ not computed
312.144.3-312.cbf.1.4 $312$ $2$ $2$ $3$ $?$ not computed
312.144.4-312.jh.1.25 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.jj.1.24 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.jl.1.21 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.jn.1.32 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.mb.1.17 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.md.1.1 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.mf.1.9 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.mh.1.9 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.om.1.18 $312$ $2$ $2$ $4$ $?$ not computed
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312.144.4-312.om.2.35 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.on.1.18 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.on.1.47 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.on.2.30 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.on.2.35 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.oo.1.27 $312$ $2$ $2$ $4$ $?$ not computed
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312.144.4-312.oo.2.19 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.oo.2.46 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.op.1.27 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.op.1.38 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.op.2.19 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.op.2.46 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.oq.1.19 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.oq.1.46 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.oq.2.27 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.oq.2.38 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.or.1.19 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.or.1.46 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.or.2.27 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.or.2.38 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.os.1.22 $312$ $2$ $2$ $4$ $?$ not computed
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312.144.4-312.os.2.26 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.os.2.39 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.ot.1.22 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.ot.1.43 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.ot.2.26 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.ot.2.39 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.ov.1.24 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.ox.1.22 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.oz.1.9 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.pb.1.26 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.rh.1.29 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.rj.1.25 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.rl.1.12 $312$ $2$ $2$ $4$ $?$ not computed
312.144.4-312.rn.1.40 $312$ $2$ $2$ $4$ $?$ not computed