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Properties

Label 12.72.4.h.1
Level $12$
Index $72$
Genus $4$
Analytic rank $0$
Cusps $6$
$\Q$-cusps $4$

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Invariants

Level: $12$ $\SL_2$-level: $12$ Newform level: $144$
Index: $72$ $\PSL_2$-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 $12^{6}$ Cusp orbits $1^{4}\cdot2$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $0$
$\Q$-gonality: $3 \le \gamma \le 4$
$\overline{\Q}$-gonality: $3 \le \gamma \le 4$
Rational cusps: $4$
Rational CM points: none

Other labels

Cummins and Pauli (CP) label: 12C4
Rouse, Sutherland, and Zureick-Brown (RSZB) label: 12.72.4.23

Level structure

$\GL_2(\Z/12\Z)$-generators: $\begin{bmatrix}9&10\\8&3\end{bmatrix}$, $\begin{bmatrix}11&6\\0&5\end{bmatrix}$, $\begin{bmatrix}11&8\\10&5\end{bmatrix}$, $\begin{bmatrix}11&10\\10&7\end{bmatrix}$
$\GL_2(\Z/12\Z)$-subgroup: $C_2^2\times \SD_{16}$
Contains $-I$: yes
Quadratic refinements: 12.144.4-12.h.1.1, 12.144.4-12.h.1.2, 12.144.4-12.h.1.3, 12.144.4-12.h.1.4, 12.144.4-12.h.1.5, 12.144.4-12.h.1.6, 12.144.4-12.h.1.7, 12.144.4-12.h.1.8, 24.144.4-12.h.1.1, 24.144.4-12.h.1.2, 24.144.4-12.h.1.3, 24.144.4-12.h.1.4, 24.144.4-12.h.1.5, 24.144.4-12.h.1.6, 24.144.4-12.h.1.7, 24.144.4-12.h.1.8, 24.144.4-12.h.1.9, 24.144.4-12.h.1.10, 24.144.4-12.h.1.11, 24.144.4-12.h.1.12, 24.144.4-12.h.1.13, 24.144.4-12.h.1.14, 24.144.4-12.h.1.15, 24.144.4-12.h.1.16, 24.144.4-12.h.1.17, 24.144.4-12.h.1.18, 24.144.4-12.h.1.19, 24.144.4-12.h.1.20, 24.144.4-12.h.1.21, 24.144.4-12.h.1.22, 24.144.4-12.h.1.23, 24.144.4-12.h.1.24, 24.144.4-12.h.1.25, 24.144.4-12.h.1.26, 24.144.4-12.h.1.27, 24.144.4-12.h.1.28, 24.144.4-12.h.1.29, 24.144.4-12.h.1.30, 24.144.4-12.h.1.31, 24.144.4-12.h.1.32, 60.144.4-12.h.1.1, 60.144.4-12.h.1.2, 60.144.4-12.h.1.3, 60.144.4-12.h.1.4, 60.144.4-12.h.1.5, 60.144.4-12.h.1.6, 60.144.4-12.h.1.7, 60.144.4-12.h.1.8, 84.144.4-12.h.1.1, 84.144.4-12.h.1.2, 84.144.4-12.h.1.3, 84.144.4-12.h.1.4, 84.144.4-12.h.1.5, 84.144.4-12.h.1.6, 84.144.4-12.h.1.7, 84.144.4-12.h.1.8, 120.144.4-12.h.1.1, 120.144.4-12.h.1.2, 120.144.4-12.h.1.3, 120.144.4-12.h.1.4, 120.144.4-12.h.1.5, 120.144.4-12.h.1.6, 120.144.4-12.h.1.7, 120.144.4-12.h.1.8, 120.144.4-12.h.1.9, 120.144.4-12.h.1.10, 120.144.4-12.h.1.11, 120.144.4-12.h.1.12, 120.144.4-12.h.1.13, 120.144.4-12.h.1.14, 120.144.4-12.h.1.15, 120.144.4-12.h.1.16, 120.144.4-12.h.1.17, 120.144.4-12.h.1.18, 120.144.4-12.h.1.19, 120.144.4-12.h.1.20, 120.144.4-12.h.1.21, 120.144.4-12.h.1.22, 120.144.4-12.h.1.23, 120.144.4-12.h.1.24, 120.144.4-12.h.1.25, 120.144.4-12.h.1.26, 120.144.4-12.h.1.27, 120.144.4-12.h.1.28, 120.144.4-12.h.1.29, 120.144.4-12.h.1.30, 120.144.4-12.h.1.31, 120.144.4-12.h.1.32, 132.144.4-12.h.1.1, 132.144.4-12.h.1.2, 132.144.4-12.h.1.3, 132.144.4-12.h.1.4, 132.144.4-12.h.1.5, 132.144.4-12.h.1.6, 132.144.4-12.h.1.7, 132.144.4-12.h.1.8, 156.144.4-12.h.1.1, 156.144.4-12.h.1.2, 156.144.4-12.h.1.3, 156.144.4-12.h.1.4, 156.144.4-12.h.1.5, 156.144.4-12.h.1.6, 156.144.4-12.h.1.7, 156.144.4-12.h.1.8, 168.144.4-12.h.1.1, 168.144.4-12.h.1.2, 168.144.4-12.h.1.3, 168.144.4-12.h.1.4, 168.144.4-12.h.1.5, 168.144.4-12.h.1.6, 168.144.4-12.h.1.7, 168.144.4-12.h.1.8, 168.144.4-12.h.1.9, 168.144.4-12.h.1.10, 168.144.4-12.h.1.11, 168.144.4-12.h.1.12, 168.144.4-12.h.1.13, 168.144.4-12.h.1.14, 168.144.4-12.h.1.15, 168.144.4-12.h.1.16, 168.144.4-12.h.1.17, 168.144.4-12.h.1.18, 168.144.4-12.h.1.19, 168.144.4-12.h.1.20, 168.144.4-12.h.1.21, 168.144.4-12.h.1.22, 168.144.4-12.h.1.23, 168.144.4-12.h.1.24, 168.144.4-12.h.1.25, 168.144.4-12.h.1.26, 168.144.4-12.h.1.27, 168.144.4-12.h.1.28, 168.144.4-12.h.1.29, 168.144.4-12.h.1.30, 168.144.4-12.h.1.31, 168.144.4-12.h.1.32, 204.144.4-12.h.1.1, 204.144.4-12.h.1.2, 204.144.4-12.h.1.3, 204.144.4-12.h.1.4, 204.144.4-12.h.1.5, 204.144.4-12.h.1.6, 204.144.4-12.h.1.7, 204.144.4-12.h.1.8, 228.144.4-12.h.1.1, 228.144.4-12.h.1.2, 228.144.4-12.h.1.3, 228.144.4-12.h.1.4, 228.144.4-12.h.1.5, 228.144.4-12.h.1.6, 228.144.4-12.h.1.7, 228.144.4-12.h.1.8, 264.144.4-12.h.1.1, 264.144.4-12.h.1.2, 264.144.4-12.h.1.3, 264.144.4-12.h.1.4, 264.144.4-12.h.1.5, 264.144.4-12.h.1.6, 264.144.4-12.h.1.7, 264.144.4-12.h.1.8, 264.144.4-12.h.1.9, 264.144.4-12.h.1.10, 264.144.4-12.h.1.11, 264.144.4-12.h.1.12, 264.144.4-12.h.1.13, 264.144.4-12.h.1.14, 264.144.4-12.h.1.15, 264.144.4-12.h.1.16, 264.144.4-12.h.1.17, 264.144.4-12.h.1.18, 264.144.4-12.h.1.19, 264.144.4-12.h.1.20, 264.144.4-12.h.1.21, 264.144.4-12.h.1.22, 264.144.4-12.h.1.23, 264.144.4-12.h.1.24, 264.144.4-12.h.1.25, 264.144.4-12.h.1.26, 264.144.4-12.h.1.27, 264.144.4-12.h.1.28, 264.144.4-12.h.1.29, 264.144.4-12.h.1.30, 264.144.4-12.h.1.31, 264.144.4-12.h.1.32, 276.144.4-12.h.1.1, 276.144.4-12.h.1.2, 276.144.4-12.h.1.3, 276.144.4-12.h.1.4, 276.144.4-12.h.1.5, 276.144.4-12.h.1.6, 276.144.4-12.h.1.7, 276.144.4-12.h.1.8, 312.144.4-12.h.1.1, 312.144.4-12.h.1.2, 312.144.4-12.h.1.3, 312.144.4-12.h.1.4, 312.144.4-12.h.1.5, 312.144.4-12.h.1.6, 312.144.4-12.h.1.7, 312.144.4-12.h.1.8, 312.144.4-12.h.1.9, 312.144.4-12.h.1.10, 312.144.4-12.h.1.11, 312.144.4-12.h.1.12, 312.144.4-12.h.1.13, 312.144.4-12.h.1.14, 312.144.4-12.h.1.15, 312.144.4-12.h.1.16, 312.144.4-12.h.1.17, 312.144.4-12.h.1.18, 312.144.4-12.h.1.19, 312.144.4-12.h.1.20, 312.144.4-12.h.1.21, 312.144.4-12.h.1.22, 312.144.4-12.h.1.23, 312.144.4-12.h.1.24, 312.144.4-12.h.1.25, 312.144.4-12.h.1.26, 312.144.4-12.h.1.27, 312.144.4-12.h.1.28, 312.144.4-12.h.1.29, 312.144.4-12.h.1.30, 312.144.4-12.h.1.31, 312.144.4-12.h.1.32
Cyclic 12-isogeny field degree: $4$
Cyclic 12-torsion field degree: $16$
Full 12-torsion field degree: $64$

Jacobian

Conductor: $2^{11}\cdot3^{6}$
Simple: no
Squarefree: no
Decomposition: $1^{4}$
Newforms: 24.2.a.a, 36.2.a.a$^{2}$, 48.2.a.a

Models

Canonical model in $\mathbb{P}^{ 3 }$

$ 0 $ $=$ $ x^{2} - 8 y^{2} - z^{2} + w^{2} $
$=$ $3 x^{2} y + 2 x z w + y z^{2} - y w^{2}$
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Singular plane model Singular plane model

$ 0 $ $=$ $ x^{4} y^{2} + x^{4} z^{2} - 4 x^{2} y^{4} - 8 x^{2} y^{2} z^{2} - 4 x^{2} z^{4} + 4 y^{6} $
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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
$(-1:0:1:0)$, $(0:0:-1:1)$, $(0:0:1:1)$, $(1:0:1:0)$

Maps between models of this curve

Birational map from canonical model to plane model:

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

Maps to other modular curves

$j$-invariant map of degree 72 from the canonical model of this modular curve to the modular curve $X(1)$ :

$\displaystyle j$ $=$ $\displaystyle 2^8\cdot3^3\,\frac{32xyz^{9}w+156xyz^{7}w^{3}+276xyz^{5}w^{5}+156xyz^{3}w^{7}+32xyzw^{9}-52y^{2}z^{10}-204y^{2}z^{8}w^{2}-180y^{2}z^{6}w^{4}+180y^{2}z^{4}w^{6}+204y^{2}z^{2}w^{8}+52y^{2}w^{10}-9z^{12}-25z^{10}w^{2}+2z^{8}w^{4}+55z^{6}w^{6}+2z^{4}w^{8}-25z^{2}w^{10}-9w^{12}}{20xyz^{9}w-24xyz^{7}w^{3}+24xyz^{5}w^{5}-24xyz^{3}w^{7}+20xyzw^{9}+8y^{2}z^{10}+48y^{2}z^{8}w^{2}-72y^{2}z^{6}w^{4}+72y^{2}z^{4}w^{6}-48y^{2}z^{2}w^{8}-8y^{2}w^{10}+8z^{10}w^{2}-19z^{8}w^{4}+22z^{6}w^{6}-19z^{4}w^{8}+8z^{2}w^{10}}$

Modular covers

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Cover information

Click on a modular curve in the diagram to see information about it.
See a full page version of the diagram

This modular curve minimally covers the modular curves listed below.

Covered curve Level Index Degree Genus Rank Kernel decomposition
12.36.2.b.1 $12$ $2$ $2$ $2$ $0$ $1^{2}$
12.36.2.e.1 $12$ $2$ $2$ $2$ $0$ $1^{2}$
12.36.2.f.1 $12$ $2$ $2$ $2$ $0$ $1^{2}$

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

Covering curve Level Index Degree Genus Rank Kernel decomposition
12.144.7.f.1 $12$ $2$ $2$ $7$ $0$ $1^{3}$
12.144.7.g.1 $12$ $2$ $2$ $7$ $0$ $1^{3}$
12.144.7.l.1 $12$ $2$ $2$ $7$ $0$ $1^{3}$
12.144.7.n.1 $12$ $2$ $2$ $7$ $0$ $1^{3}$
24.144.7.v.1 $24$ $2$ $2$ $7$ $1$ $1^{3}$
24.144.7.ba.1 $24$ $2$ $2$ $7$ $1$ $1^{3}$
24.144.7.bz.1 $24$ $2$ $2$ $7$ $2$ $1^{3}$
24.144.7.cl.1 $24$ $2$ $2$ $7$ $1$ $1^{3}$
24.144.8.dc.1 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.8.dc.2 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.8.dd.1 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.8.dd.2 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.8.de.1 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.8.de.2 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.8.df.1 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.8.df.2 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.8.dg.1 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.8.dg.2 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.8.dh.1 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.8.dh.2 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.8.di.1 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.8.di.2 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.8.dj.1 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.8.dj.2 $24$ $2$ $2$ $8$ $0$ $2^{2}$
24.144.9.dg.1 $24$ $2$ $2$ $9$ $1$ $1^{5}$
24.144.9.ek.1 $24$ $2$ $2$ $9$ $0$ $1^{5}$
24.144.9.gf.1 $24$ $2$ $2$ $9$ $1$ $1^{5}$
24.144.9.gk.1 $24$ $2$ $2$ $9$ $2$ $1^{5}$
24.144.9.ll.1 $24$ $2$ $2$ $9$ $2$ $1^{5}$
24.144.9.lq.1 $24$ $2$ $2$ $9$ $1$ $1^{5}$
24.144.9.mb.1 $24$ $2$ $2$ $9$ $2$ $1^{5}$
24.144.9.md.1 $24$ $2$ $2$ $9$ $0$ $1^{5}$
36.216.16.h.1 $36$ $3$ $3$ $16$ $3$ $1^{12}$
36.648.46.m.1 $36$ $9$ $9$ $46$ $13$ $1^{24}\cdot2^{9}$
60.144.7.cw.1 $60$ $2$ $2$ $7$ $0$ $1^{3}$
60.144.7.cy.1 $60$ $2$ $2$ $7$ $1$ $1^{3}$
60.144.7.dc.1 $60$ $2$ $2$ $7$ $1$ $1^{3}$
60.144.7.de.1 $60$ $2$ $2$ $7$ $0$ $1^{3}$
60.360.28.bb.1 $60$ $5$ $5$ $28$ $8$ $1^{24}$
60.432.31.cd.1 $60$ $6$ $6$ $31$ $1$ $1^{27}$
60.720.55.hx.1 $60$ $10$ $10$ $55$ $16$ $1^{51}$
84.144.7.cm.1 $84$ $2$ $2$ $7$ $?$ not computed
84.144.7.co.1 $84$ $2$ $2$ $7$ $?$ not computed
84.144.7.cs.1 $84$ $2$ $2$ $7$ $?$ not computed
84.144.7.cu.1 $84$ $2$ $2$ $7$ $?$ not computed
120.144.7.pm.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.py.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.qu.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.rg.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.8.ku.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.ku.2 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.kv.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.kv.2 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.kw.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.kw.2 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.kx.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.kx.2 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.ky.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.ky.2 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.kz.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.kz.2 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.la.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.la.2 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.lb.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.lb.2 $120$ $2$ $2$ $8$ $?$ not computed
120.144.9.vf.1 $120$ $2$ $2$ $9$ $?$ not computed
120.144.9.vi.1 $120$ $2$ $2$ $9$ $?$ not computed
120.144.9.wt.1 $120$ $2$ $2$ $9$ $?$ not computed
120.144.9.ww.1 $120$ $2$ $2$ $9$ $?$ not computed
120.144.9.bgx.1 $120$ $2$ $2$ $9$ $?$ not computed
120.144.9.bhb.1 $120$ $2$ $2$ $9$ $?$ not computed
120.144.9.bhv.1 $120$ $2$ $2$ $9$ $?$ not computed
120.144.9.bhz.1 $120$ $2$ $2$ $9$ $?$ not computed
132.144.7.cm.1 $132$ $2$ $2$ $7$ $?$ not computed
132.144.7.co.1 $132$ $2$ $2$ $7$ $?$ not computed
132.144.7.cs.1 $132$ $2$ $2$ $7$ $?$ not computed
132.144.7.cu.1 $132$ $2$ $2$ $7$ $?$ not computed
156.144.7.cm.1 $156$ $2$ $2$ $7$ $?$ not computed
156.144.7.co.1 $156$ $2$ $2$ $7$ $?$ not computed
156.144.7.cs.1 $156$ $2$ $2$ $7$ $?$ not computed
156.144.7.cu.1 $156$ $2$ $2$ $7$ $?$ not computed
168.144.7.om.1 $168$ $2$ $2$ $7$ $?$ not computed
168.144.7.oy.1 $168$ $2$ $2$ $7$ $?$ not computed
168.144.7.pu.1 $168$ $2$ $2$ $7$ $?$ not computed
168.144.7.qg.1 $168$ $2$ $2$ $7$ $?$ not computed
168.144.8.km.1 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.km.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.kn.1 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.kn.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.ko.1 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.ko.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.kp.1 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.kp.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.kq.1 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.kq.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.kr.1 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.kr.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.ks.1 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.ks.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.kt.1 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.kt.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.9.ux.1 $168$ $2$ $2$ $9$ $?$ not computed
168.144.9.va.1 $168$ $2$ $2$ $9$ $?$ not computed
168.144.9.wl.1 $168$ $2$ $2$ $9$ $?$ not computed
168.144.9.wo.1 $168$ $2$ $2$ $9$ $?$ not computed
168.144.9.bgl.1 $168$ $2$ $2$ $9$ $?$ not computed
168.144.9.bgp.1 $168$ $2$ $2$ $9$ $?$ not computed
168.144.9.bhj.1 $168$ $2$ $2$ $9$ $?$ not computed
168.144.9.bhn.1 $168$ $2$ $2$ $9$ $?$ not computed
204.144.7.cm.1 $204$ $2$ $2$ $7$ $?$ not computed
204.144.7.co.1 $204$ $2$ $2$ $7$ $?$ not computed
204.144.7.cs.1 $204$ $2$ $2$ $7$ $?$ not computed
204.144.7.cu.1 $204$ $2$ $2$ $7$ $?$ not computed
228.144.7.cm.1 $228$ $2$ $2$ $7$ $?$ not computed
228.144.7.co.1 $228$ $2$ $2$ $7$ $?$ not computed
228.144.7.cs.1 $228$ $2$ $2$ $7$ $?$ not computed
228.144.7.cu.1 $228$ $2$ $2$ $7$ $?$ not computed
264.144.7.om.1 $264$ $2$ $2$ $7$ $?$ not computed
264.144.7.oy.1 $264$ $2$ $2$ $7$ $?$ not computed
264.144.7.pu.1 $264$ $2$ $2$ $7$ $?$ not computed
264.144.7.qg.1 $264$ $2$ $2$ $7$ $?$ not computed
264.144.8.kn.1 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.kn.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.ko.1 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.ko.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.kp.1 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.kp.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.kq.1 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.kq.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.kr.1 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.kr.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.ks.1 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.ks.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.kt.1 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.kt.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.ku.1 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.ku.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.9.ux.1 $264$ $2$ $2$ $9$ $?$ not computed
264.144.9.va.1 $264$ $2$ $2$ $9$ $?$ not computed
264.144.9.wl.1 $264$ $2$ $2$ $9$ $?$ not computed
264.144.9.wo.1 $264$ $2$ $2$ $9$ $?$ not computed
264.144.9.bgp.1 $264$ $2$ $2$ $9$ $?$ not computed
264.144.9.bgt.1 $264$ $2$ $2$ $9$ $?$ not computed
264.144.9.bhn.1 $264$ $2$ $2$ $9$ $?$ not computed
264.144.9.bhr.1 $264$ $2$ $2$ $9$ $?$ not computed
276.144.7.cm.1 $276$ $2$ $2$ $7$ $?$ not computed
276.144.7.co.1 $276$ $2$ $2$ $7$ $?$ not computed
276.144.7.cs.1 $276$ $2$ $2$ $7$ $?$ not computed
276.144.7.cu.1 $276$ $2$ $2$ $7$ $?$ not computed
312.144.7.om.1 $312$ $2$ $2$ $7$ $?$ not computed
312.144.7.oy.1 $312$ $2$ $2$ $7$ $?$ not computed
312.144.7.pu.1 $312$ $2$ $2$ $7$ $?$ not computed
312.144.7.qg.1 $312$ $2$ $2$ $7$ $?$ not computed
312.144.8.ku.1 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.ku.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.kv.1 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.kv.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.kw.1 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.kw.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.kx.1 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.kx.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.ky.1 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.ky.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.kz.1 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.kz.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.la.1 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.la.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.lb.1 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.lb.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.9.ux.1 $312$ $2$ $2$ $9$ $?$ not computed
312.144.9.va.1 $312$ $2$ $2$ $9$ $?$ not computed
312.144.9.wl.1 $312$ $2$ $2$ $9$ $?$ not computed
312.144.9.wo.1 $312$ $2$ $2$ $9$ $?$ not computed
312.144.9.bgl.1 $312$ $2$ $2$ $9$ $?$ not computed
312.144.9.bgp.1 $312$ $2$ $2$ $9$ $?$ not computed
312.144.9.bhj.1 $312$ $2$ $2$ $9$ $?$ not computed
312.144.9.bhn.1 $312$ $2$ $2$ $9$ $?$ not computed