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Properties

Label 40.72.3.bx.1
Level $40$
Index $72$
Genus $3$
Analytic rank $0$
Cusps $8$
$\Q$-cusps $8$

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Invariants

Level: $40$ $\SL_2$-level: $40$ Newform level: $40$
Index: $72$ $\PSL_2$-index:$72$
Genus: $3 = 1 + \frac{ 72 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 8 }{2}$
Cusps: $8$ (all of which are rational) Cusp widths $1^{2}\cdot2\cdot5^{2}\cdot8\cdot10\cdot40$ Cusp orbits $1^{8}$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $0$
$\Q$-gonality: $2$
$\overline{\Q}$-gonality: $2$
Rational cusps: $8$
Rational CM points: none

Other labels

Cummins and Pauli (CP) label: 40F3
Rouse, Sutherland, and Zureick-Brown (RSZB) label: 40.72.3.3

Level structure

$\GL_2(\Z/40\Z)$-generators: $\begin{bmatrix}3&34\\0&13\end{bmatrix}$, $\begin{bmatrix}7&10\\0&7\end{bmatrix}$, $\begin{bmatrix}11&23\\0&37\end{bmatrix}$, $\begin{bmatrix}11&33\\0&11\end{bmatrix}$, $\begin{bmatrix}17&1\\0&39\end{bmatrix}$, $\begin{bmatrix}33&4\\0&31\end{bmatrix}$, $\begin{bmatrix}37&32\\0&9\end{bmatrix}$
Contains $-I$: yes
Quadratic refinements: 40.144.3-40.bx.1.1, 40.144.3-40.bx.1.2, 40.144.3-40.bx.1.3, 40.144.3-40.bx.1.4, 40.144.3-40.bx.1.5, 40.144.3-40.bx.1.6, 40.144.3-40.bx.1.7, 40.144.3-40.bx.1.8, 40.144.3-40.bx.1.9, 40.144.3-40.bx.1.10, 40.144.3-40.bx.1.11, 40.144.3-40.bx.1.12, 40.144.3-40.bx.1.13, 40.144.3-40.bx.1.14, 40.144.3-40.bx.1.15, 40.144.3-40.bx.1.16, 40.144.3-40.bx.1.17, 40.144.3-40.bx.1.18, 40.144.3-40.bx.1.19, 40.144.3-40.bx.1.20, 40.144.3-40.bx.1.21, 40.144.3-40.bx.1.22, 40.144.3-40.bx.1.23, 40.144.3-40.bx.1.24, 40.144.3-40.bx.1.25, 40.144.3-40.bx.1.26, 40.144.3-40.bx.1.27, 40.144.3-40.bx.1.28, 40.144.3-40.bx.1.29, 40.144.3-40.bx.1.30, 40.144.3-40.bx.1.31, 40.144.3-40.bx.1.32, 40.144.3-40.bx.1.33, 40.144.3-40.bx.1.34, 40.144.3-40.bx.1.35, 40.144.3-40.bx.1.36, 40.144.3-40.bx.1.37, 40.144.3-40.bx.1.38, 40.144.3-40.bx.1.39, 40.144.3-40.bx.1.40, 40.144.3-40.bx.1.41, 40.144.3-40.bx.1.42, 40.144.3-40.bx.1.43, 40.144.3-40.bx.1.44, 40.144.3-40.bx.1.45, 40.144.3-40.bx.1.46, 40.144.3-40.bx.1.47, 40.144.3-40.bx.1.48, 80.144.3-40.bx.1.1, 80.144.3-40.bx.1.2, 80.144.3-40.bx.1.3, 80.144.3-40.bx.1.4, 80.144.3-40.bx.1.5, 80.144.3-40.bx.1.6, 80.144.3-40.bx.1.7, 80.144.3-40.bx.1.8, 80.144.3-40.bx.1.9, 80.144.3-40.bx.1.10, 80.144.3-40.bx.1.11, 80.144.3-40.bx.1.12, 80.144.3-40.bx.1.13, 80.144.3-40.bx.1.14, 80.144.3-40.bx.1.15, 80.144.3-40.bx.1.16, 80.144.3-40.bx.1.17, 80.144.3-40.bx.1.18, 80.144.3-40.bx.1.19, 80.144.3-40.bx.1.20, 80.144.3-40.bx.1.21, 80.144.3-40.bx.1.22, 80.144.3-40.bx.1.23, 80.144.3-40.bx.1.24, 80.144.3-40.bx.1.25, 80.144.3-40.bx.1.26, 80.144.3-40.bx.1.27, 80.144.3-40.bx.1.28, 80.144.3-40.bx.1.29, 80.144.3-40.bx.1.30, 80.144.3-40.bx.1.31, 80.144.3-40.bx.1.32, 120.144.3-40.bx.1.1, 120.144.3-40.bx.1.2, 120.144.3-40.bx.1.3, 120.144.3-40.bx.1.4, 120.144.3-40.bx.1.5, 120.144.3-40.bx.1.6, 120.144.3-40.bx.1.7, 120.144.3-40.bx.1.8, 120.144.3-40.bx.1.9, 120.144.3-40.bx.1.10, 120.144.3-40.bx.1.11, 120.144.3-40.bx.1.12, 120.144.3-40.bx.1.13, 120.144.3-40.bx.1.14, 120.144.3-40.bx.1.15, 120.144.3-40.bx.1.16, 120.144.3-40.bx.1.17, 120.144.3-40.bx.1.18, 120.144.3-40.bx.1.19, 120.144.3-40.bx.1.20, 120.144.3-40.bx.1.21, 120.144.3-40.bx.1.22, 120.144.3-40.bx.1.23, 120.144.3-40.bx.1.24, 120.144.3-40.bx.1.25, 120.144.3-40.bx.1.26, 120.144.3-40.bx.1.27, 120.144.3-40.bx.1.28, 120.144.3-40.bx.1.29, 120.144.3-40.bx.1.30, 120.144.3-40.bx.1.31, 120.144.3-40.bx.1.32, 120.144.3-40.bx.1.33, 120.144.3-40.bx.1.34, 120.144.3-40.bx.1.35, 120.144.3-40.bx.1.36, 120.144.3-40.bx.1.37, 120.144.3-40.bx.1.38, 120.144.3-40.bx.1.39, 120.144.3-40.bx.1.40, 120.144.3-40.bx.1.41, 120.144.3-40.bx.1.42, 120.144.3-40.bx.1.43, 120.144.3-40.bx.1.44, 120.144.3-40.bx.1.45, 120.144.3-40.bx.1.46, 120.144.3-40.bx.1.47, 120.144.3-40.bx.1.48, 240.144.3-40.bx.1.1, 240.144.3-40.bx.1.2, 240.144.3-40.bx.1.3, 240.144.3-40.bx.1.4, 240.144.3-40.bx.1.5, 240.144.3-40.bx.1.6, 240.144.3-40.bx.1.7, 240.144.3-40.bx.1.8, 240.144.3-40.bx.1.9, 240.144.3-40.bx.1.10, 240.144.3-40.bx.1.11, 240.144.3-40.bx.1.12, 240.144.3-40.bx.1.13, 240.144.3-40.bx.1.14, 240.144.3-40.bx.1.15, 240.144.3-40.bx.1.16, 240.144.3-40.bx.1.17, 240.144.3-40.bx.1.18, 240.144.3-40.bx.1.19, 240.144.3-40.bx.1.20, 240.144.3-40.bx.1.21, 240.144.3-40.bx.1.22, 240.144.3-40.bx.1.23, 240.144.3-40.bx.1.24, 240.144.3-40.bx.1.25, 240.144.3-40.bx.1.26, 240.144.3-40.bx.1.27, 240.144.3-40.bx.1.28, 240.144.3-40.bx.1.29, 240.144.3-40.bx.1.30, 240.144.3-40.bx.1.31, 240.144.3-40.bx.1.32, 280.144.3-40.bx.1.1, 280.144.3-40.bx.1.2, 280.144.3-40.bx.1.3, 280.144.3-40.bx.1.4, 280.144.3-40.bx.1.5, 280.144.3-40.bx.1.6, 280.144.3-40.bx.1.7, 280.144.3-40.bx.1.8, 280.144.3-40.bx.1.9, 280.144.3-40.bx.1.10, 280.144.3-40.bx.1.11, 280.144.3-40.bx.1.12, 280.144.3-40.bx.1.13, 280.144.3-40.bx.1.14, 280.144.3-40.bx.1.15, 280.144.3-40.bx.1.16, 280.144.3-40.bx.1.17, 280.144.3-40.bx.1.18, 280.144.3-40.bx.1.19, 280.144.3-40.bx.1.20, 280.144.3-40.bx.1.21, 280.144.3-40.bx.1.22, 280.144.3-40.bx.1.23, 280.144.3-40.bx.1.24, 280.144.3-40.bx.1.25, 280.144.3-40.bx.1.26, 280.144.3-40.bx.1.27, 280.144.3-40.bx.1.28, 280.144.3-40.bx.1.29, 280.144.3-40.bx.1.30, 280.144.3-40.bx.1.31, 280.144.3-40.bx.1.32, 280.144.3-40.bx.1.33, 280.144.3-40.bx.1.34, 280.144.3-40.bx.1.35, 280.144.3-40.bx.1.36, 280.144.3-40.bx.1.37, 280.144.3-40.bx.1.38, 280.144.3-40.bx.1.39, 280.144.3-40.bx.1.40, 280.144.3-40.bx.1.41, 280.144.3-40.bx.1.42, 280.144.3-40.bx.1.43, 280.144.3-40.bx.1.44, 280.144.3-40.bx.1.45, 280.144.3-40.bx.1.46, 280.144.3-40.bx.1.47, 280.144.3-40.bx.1.48
Cyclic 40-isogeny field degree: $1$
Cyclic 40-torsion field degree: $16$
Full 40-torsion field degree: $10240$

Jacobian

Conductor: $2^{7}\cdot5^{3}$
Simple: no
Squarefree: no
Decomposition: $1^{3}$
Newforms: 20.2.a.a$^{2}$, 40.2.a.a

Models

Embedded model Embedded model in $\mathbb{P}^{4}$

$ 0 $ $=$ $ - x t^{2} + y^{2} t $
$=$ $y w^{2} + y w t + z w t$
$=$ $y w t + y t^{2} + z t^{2}$
$=$ $x w t + x t^{2} + y z t$
$=$$\cdots$
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Singular plane model Singular plane model

$ 0 $ $=$ $ x^{4} y + 5 x^{4} z - x^{2} y^{2} z - 6 x^{2} y z^{2} - 5 x^{2} z^{3} + y^{2} z^{3} + y z^{4} $
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Weierstrass model Weierstrass model

$ y^{2} + \left(x^{4} + 1\right) y $ $=$ $ 2x^{6} - x^{4} + 2x^{2} $
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Rational points

This modular curve has 8 rational cusps but no known non-cuspidal rational points. The following are the coordinates of the rational cusps on this modular curve.

Embedded model
$(0:0:1:0:0)$, $(1:-1:1:0:1)$, $(0:0:0:-1:1)$, $(1:0:0:0:0)$, $(0:0:-1:1:0)$, $(0:0:1:1:0)$, $(1:1:-1:0:1)$, $(0:0:0:0:1)$

Maps between models of this curve

Birational map from embedded model to plane model:

$\displaystyle X$ $=$ $\displaystyle y$
$\displaystyle Y$ $=$ $\displaystyle w$
$\displaystyle Z$ $=$ $\displaystyle t$

Birational map from embedded model to Weierstrass model:

$\displaystyle X$ $=$ $\displaystyle -y$
$\displaystyle Y$ $=$ $\displaystyle -y^{2}wt-3y^{2}t^{2}+wt^{3}$
$\displaystyle Z$ $=$ $\displaystyle t$

Maps to other modular curves

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

$\displaystyle j$ $=$ $\displaystyle -\frac{x^{11}-705x^{10}t+170015x^{9}t^{2}-15035355x^{8}t^{3}+254385970x^{7}t^{4}-2560733026x^{6}t^{5}-4296636730x^{5}t^{6}-85385769230x^{4}t^{7}-196268373347x^{3}t^{8}-271804879117x^{2}t^{9}+320871972160xwt^{9}+320871972235xt^{10}+25600z^{10}t-51200z^{8}w^{2}t-307200z^{8}t^{3}+1408024z^{6}w^{2}t^{3}-5093914z^{6}wt^{4}+34899252z^{6}t^{5}-181832860z^{4}w^{2}t^{5}+374770690z^{4}wt^{6}-751038298z^{4}t^{7}+11644965696z^{2}w^{2}t^{7}+73670355200z^{2}wt^{8}+239921319936z^{2}t^{9}-25w^{11}+25675w^{10}t-154475w^{9}t^{2}-199499w^{8}t^{3}+6543608w^{7}t^{4}+99804538w^{6}t^{5}-556106258w^{5}t^{6}-8994220992w^{4}t^{7}-60160972083w^{3}t^{8}-163974757569w^{2}t^{9}-112158658639wt^{10}}{t(x^{10}+37x^{9}t+590x^{8}t^{2}+5410x^{7}t^{3}+32513x^{6}t^{4}+140649x^{5}t^{5}+474800x^{4}t^{6}+1439696x^{3}t^{7}+7013040x^{2}t^{8}-7372964xwt^{8}-7372964xt^{9}-z^{6}wt^{3}-31z^{6}t^{4}-417z^{4}w^{2}t^{4}-4034z^{4}wt^{5}-24435z^{4}t^{6}-93104z^{2}w^{2}t^{6}-566430z^{2}wt^{7}-1709306z^{2}t^{8}+w^{7}t^{3}+467w^{6}t^{4}+1894w^{5}t^{5}+114800w^{4}t^{6}+288975w^{3}t^{7}+1992057w^{2}t^{8}+1816454wt^{9})}$

Modular covers

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Cover information

Click on a modular curve in the diagram to see information about it.
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The following modular covers realize this modular curve as a fiber product over $X(1)$.

Factor curve Level Index Degree Genus Rank Kernel decomposition
$X_0(5)$ $5$ $12$ $12$ $0$ $0$ full Jacobian
$X_0(8)$ $8$ $6$ $6$ $0$ $0$ full Jacobian

This modular curve minimally covers the modular curves listed below.

Covered curve Level Index Degree Genus Rank Kernel decomposition
$X_0(8)$ $8$ $6$ $6$ $0$ $0$ full Jacobian
$X_0(20)$ $20$ $2$ $2$ $1$ $0$ $1^{2}$

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

Covering curve Level Index Degree Genus Rank Kernel decomposition
40.144.5.gn.1 $40$ $2$ $2$ $5$ $0$ $2$
40.144.5.gn.2 $40$ $2$ $2$ $5$ $0$ $2$
40.144.5.gp.1 $40$ $2$ $2$ $5$ $0$ $2$
40.144.5.gp.2 $40$ $2$ $2$ $5$ $0$ $2$
40.144.5.gr.1 $40$ $2$ $2$ $5$ $0$ $2$
40.144.5.gr.2 $40$ $2$ $2$ $5$ $0$ $2$
40.144.5.gt.1 $40$ $2$ $2$ $5$ $0$ $2$
40.144.5.gt.2 $40$ $2$ $2$ $5$ $0$ $2$
40.144.7.br.1 $40$ $2$ $2$ $7$ $0$ $1^{4}$
40.144.7.bx.1 $40$ $2$ $2$ $7$ $2$ $1^{4}$
40.144.7.cl.1 $40$ $2$ $2$ $7$ $0$ $1^{4}$
40.144.7.cm.1 $40$ $2$ $2$ $7$ $2$ $1^{4}$
40.144.7.ec.1 $40$ $2$ $2$ $7$ $1$ $1^{4}$
40.144.7.ee.1 $40$ $2$ $2$ $7$ $2$ $1^{4}$
40.144.7.eg.1 $40$ $2$ $2$ $7$ $1$ $1^{4}$
40.144.7.ei.1 $40$ $2$ $2$ $7$ $2$ $1^{4}$
40.144.7.fn.1 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fn.2 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fo.1 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fo.2 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fp.1 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fp.2 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fp.3 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fp.4 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fq.1 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fq.2 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fq.3 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fq.4 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fr.1 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fr.2 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fs.1 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fs.2 $40$ $2$ $2$ $7$ $0$ $4$
40.144.7.fu.1 $40$ $2$ $2$ $7$ $0$ $2^{2}$
40.144.7.fu.2 $40$ $2$ $2$ $7$ $0$ $2^{2}$
40.144.7.fw.1 $40$ $2$ $2$ $7$ $0$ $2^{2}$
40.144.7.fw.2 $40$ $2$ $2$ $7$ $0$ $2^{2}$
40.144.7.fy.1 $40$ $2$ $2$ $7$ $0$ $2^{2}$
40.144.7.fy.2 $40$ $2$ $2$ $7$ $0$ $2^{2}$
40.144.7.ga.1 $40$ $2$ $2$ $7$ $0$ $2^{2}$
40.144.7.ga.2 $40$ $2$ $2$ $7$ $0$ $2^{2}$
40.360.19.nx.1 $40$ $5$ $5$ $19$ $1$ $1^{16}$
80.144.7.bo.1 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bo.2 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bp.1 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bp.2 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bs.1 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bs.2 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bt.1 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bt.2 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bu.1 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bu.2 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bu.3 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bu.4 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bv.1 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bv.2 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bv.3 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bv.4 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bw.1 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bw.2 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bx.1 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bx.2 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.by.1 $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.bz.1 $80$ $2$ $2$ $7$ $?$ not computed
$X_0(80)$ $80$ $2$ $2$ $7$ $?$ not computed
80.144.7.cd.1 $80$ $2$ $2$ $7$ $?$ not computed
80.144.9.i.1 $80$ $2$ $2$ $9$ $?$ not computed
80.144.9.j.1 $80$ $2$ $2$ $9$ $?$ not computed
80.144.9.m.1 $80$ $2$ $2$ $9$ $?$ not computed
80.144.9.n.1 $80$ $2$ $2$ $9$ $?$ not computed
80.144.9.q.1 $80$ $2$ $2$ $9$ $?$ not computed
80.144.9.q.2 $80$ $2$ $2$ $9$ $?$ not computed
80.144.9.r.1 $80$ $2$ $2$ $9$ $?$ not computed
80.144.9.r.2 $80$ $2$ $2$ $9$ $?$ not computed
120.144.5.caj.1 $120$ $2$ $2$ $5$ $?$ not computed
120.144.5.caj.2 $120$ $2$ $2$ $5$ $?$ not computed
120.144.5.cal.1 $120$ $2$ $2$ $5$ $?$ not computed
120.144.5.cal.2 $120$ $2$ $2$ $5$ $?$ not computed
120.144.5.can.1 $120$ $2$ $2$ $5$ $?$ not computed
120.144.5.can.2 $120$ $2$ $2$ $5$ $?$ not computed
120.144.5.cap.1 $120$ $2$ $2$ $5$ $?$ not computed
120.144.5.cap.2 $120$ $2$ $2$ $5$ $?$ not computed
120.144.7.dkm.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.dko.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.dkq.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.dks.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.dvo.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.dvq.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.dvs.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.dvu.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqd.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqd.2 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqe.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqe.2 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqf.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqf.2 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqf.3 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqf.4 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqg.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqg.2 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqg.3 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqg.4 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqh.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqh.2 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqi.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fqi.2 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fue.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fue.2 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fug.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fug.2 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fui.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fui.2 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fuk.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fuk.2 $120$ $2$ $2$ $7$ $?$ not computed
120.216.15.hx.1 $120$ $3$ $3$ $15$ $?$ not computed
$X_0(120)$ $120$ $4$ $4$ $17$ $?$ not computed
$X_0(200)$ $200$ $5$ $5$ $19$ $?$ not computed
240.144.7.ue.1 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.ue.2 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.uf.1 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.uf.2 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.ui.1 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.ui.2 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.uj.1 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.uj.2 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.uk.1 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.uk.2 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.uk.3 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.uk.4 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.ul.1 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.ul.2 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.ul.3 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.ul.4 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.um.1 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.um.2 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.un.1 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.un.2 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.yi.1 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.yj.1 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.ym.1 $240$ $2$ $2$ $7$ $?$ not computed
240.144.7.yn.1 $240$ $2$ $2$ $7$ $?$ not computed
240.144.9.mi.1 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.mj.1 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.po.1 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.pp.1 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.blw.1 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.blw.2 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.blx.1 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.blx.2 $240$ $2$ $2$ $9$ $?$ not computed
280.144.5.ur.1 $280$ $2$ $2$ $5$ $?$ not computed
280.144.5.ur.2 $280$ $2$ $2$ $5$ $?$ not computed
280.144.5.ut.1 $280$ $2$ $2$ $5$ $?$ not computed
280.144.5.ut.2 $280$ $2$ $2$ $5$ $?$ not computed
280.144.5.uv.1 $280$ $2$ $2$ $5$ $?$ not computed
280.144.5.uv.2 $280$ $2$ $2$ $5$ $?$ not computed
280.144.5.ux.1 $280$ $2$ $2$ $5$ $?$ not computed
280.144.5.ux.2 $280$ $2$ $2$ $5$ $?$ not computed
280.144.7.hc.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.he.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.hg.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.hi.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.iy.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.ja.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.jc.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.je.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.kt.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.kt.2 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.ku.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.ku.2 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.kv.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.kv.2 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.kv.3 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.kv.4 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.kw.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.kw.2 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.kw.3 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.kw.4 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.kx.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.kx.2 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.ky.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.ky.2 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.la.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.la.2 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.lc.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.lc.2 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.le.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.le.2 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.lg.1 $280$ $2$ $2$ $7$ $?$ not computed
280.144.7.lg.2 $280$ $2$ $2$ $7$ $?$ not computed