Properties

Label 24.72.4.gk.2
Level $24$
Index $72$
Genus $4$
Analytic rank $0$
Cusps $6$
$\Q$-cusps $2$

Related objects

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Invariants

Level: $24$ $\SL_2$-level: $24$ Newform level: $72$
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 $2$ are rational) Cusp widths $3^{2}\cdot6\cdot12\cdot24^{2}$ Cusp orbits $1^{2}\cdot2^{2}$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $0$
$\Q$-gonality: $3$
$\overline{\Q}$-gonality: $3$
Rational cusps: $2$
Rational CM points: none

Other labels

Cummins and Pauli (CP) label: 24F4
Rouse, Sutherland, and Zureick-Brown (RSZB) label: 24.72.4.277

Level structure

$\GL_2(\Z/24\Z)$-generators: $\begin{bmatrix}1&22\\16&17\end{bmatrix}$, $\begin{bmatrix}5&20\\16&23\end{bmatrix}$, $\begin{bmatrix}5&21\\0&5\end{bmatrix}$, $\begin{bmatrix}11&3\\0&11\end{bmatrix}$, $\begin{bmatrix}17&23\\16&5\end{bmatrix}$, $\begin{bmatrix}23&18\\0&11\end{bmatrix}$
Contains $-I$: yes
Quadratic refinements: 24.144.4-24.gk.2.1, 24.144.4-24.gk.2.2, 24.144.4-24.gk.2.3, 24.144.4-24.gk.2.4, 24.144.4-24.gk.2.5, 24.144.4-24.gk.2.6, 24.144.4-24.gk.2.7, 24.144.4-24.gk.2.8, 24.144.4-24.gk.2.9, 24.144.4-24.gk.2.10, 24.144.4-24.gk.2.11, 24.144.4-24.gk.2.12, 24.144.4-24.gk.2.13, 24.144.4-24.gk.2.14, 24.144.4-24.gk.2.15, 24.144.4-24.gk.2.16, 24.144.4-24.gk.2.17, 24.144.4-24.gk.2.18, 24.144.4-24.gk.2.19, 24.144.4-24.gk.2.20, 24.144.4-24.gk.2.21, 24.144.4-24.gk.2.22, 24.144.4-24.gk.2.23, 24.144.4-24.gk.2.24, 24.144.4-24.gk.2.25, 24.144.4-24.gk.2.26, 24.144.4-24.gk.2.27, 24.144.4-24.gk.2.28, 24.144.4-24.gk.2.29, 24.144.4-24.gk.2.30, 24.144.4-24.gk.2.31, 24.144.4-24.gk.2.32, 48.144.4-24.gk.2.1, 48.144.4-24.gk.2.2, 48.144.4-24.gk.2.3, 48.144.4-24.gk.2.4, 48.144.4-24.gk.2.5, 48.144.4-24.gk.2.6, 48.144.4-24.gk.2.7, 48.144.4-24.gk.2.8, 48.144.4-24.gk.2.9, 48.144.4-24.gk.2.10, 48.144.4-24.gk.2.11, 48.144.4-24.gk.2.12, 48.144.4-24.gk.2.13, 48.144.4-24.gk.2.14, 48.144.4-24.gk.2.15, 48.144.4-24.gk.2.16, 48.144.4-24.gk.2.17, 48.144.4-24.gk.2.18, 48.144.4-24.gk.2.19, 48.144.4-24.gk.2.20, 48.144.4-24.gk.2.21, 48.144.4-24.gk.2.22, 48.144.4-24.gk.2.23, 48.144.4-24.gk.2.24, 48.144.4-24.gk.2.25, 48.144.4-24.gk.2.26, 48.144.4-24.gk.2.27, 48.144.4-24.gk.2.28, 48.144.4-24.gk.2.29, 48.144.4-24.gk.2.30, 48.144.4-24.gk.2.31, 48.144.4-24.gk.2.32, 120.144.4-24.gk.2.1, 120.144.4-24.gk.2.2, 120.144.4-24.gk.2.3, 120.144.4-24.gk.2.4, 120.144.4-24.gk.2.5, 120.144.4-24.gk.2.6, 120.144.4-24.gk.2.7, 120.144.4-24.gk.2.8, 120.144.4-24.gk.2.9, 120.144.4-24.gk.2.10, 120.144.4-24.gk.2.11, 120.144.4-24.gk.2.12, 120.144.4-24.gk.2.13, 120.144.4-24.gk.2.14, 120.144.4-24.gk.2.15, 120.144.4-24.gk.2.16, 120.144.4-24.gk.2.17, 120.144.4-24.gk.2.18, 120.144.4-24.gk.2.19, 120.144.4-24.gk.2.20, 120.144.4-24.gk.2.21, 120.144.4-24.gk.2.22, 120.144.4-24.gk.2.23, 120.144.4-24.gk.2.24, 120.144.4-24.gk.2.25, 120.144.4-24.gk.2.26, 120.144.4-24.gk.2.27, 120.144.4-24.gk.2.28, 120.144.4-24.gk.2.29, 120.144.4-24.gk.2.30, 120.144.4-24.gk.2.31, 120.144.4-24.gk.2.32, 168.144.4-24.gk.2.1, 168.144.4-24.gk.2.2, 168.144.4-24.gk.2.3, 168.144.4-24.gk.2.4, 168.144.4-24.gk.2.5, 168.144.4-24.gk.2.6, 168.144.4-24.gk.2.7, 168.144.4-24.gk.2.8, 168.144.4-24.gk.2.9, 168.144.4-24.gk.2.10, 168.144.4-24.gk.2.11, 168.144.4-24.gk.2.12, 168.144.4-24.gk.2.13, 168.144.4-24.gk.2.14, 168.144.4-24.gk.2.15, 168.144.4-24.gk.2.16, 168.144.4-24.gk.2.17, 168.144.4-24.gk.2.18, 168.144.4-24.gk.2.19, 168.144.4-24.gk.2.20, 168.144.4-24.gk.2.21, 168.144.4-24.gk.2.22, 168.144.4-24.gk.2.23, 168.144.4-24.gk.2.24, 168.144.4-24.gk.2.25, 168.144.4-24.gk.2.26, 168.144.4-24.gk.2.27, 168.144.4-24.gk.2.28, 168.144.4-24.gk.2.29, 168.144.4-24.gk.2.30, 168.144.4-24.gk.2.31, 168.144.4-24.gk.2.32, 240.144.4-24.gk.2.1, 240.144.4-24.gk.2.2, 240.144.4-24.gk.2.3, 240.144.4-24.gk.2.4, 240.144.4-24.gk.2.5, 240.144.4-24.gk.2.6, 240.144.4-24.gk.2.7, 240.144.4-24.gk.2.8, 240.144.4-24.gk.2.9, 240.144.4-24.gk.2.10, 240.144.4-24.gk.2.11, 240.144.4-24.gk.2.12, 240.144.4-24.gk.2.13, 240.144.4-24.gk.2.14, 240.144.4-24.gk.2.15, 240.144.4-24.gk.2.16, 240.144.4-24.gk.2.17, 240.144.4-24.gk.2.18, 240.144.4-24.gk.2.19, 240.144.4-24.gk.2.20, 240.144.4-24.gk.2.21, 240.144.4-24.gk.2.22, 240.144.4-24.gk.2.23, 240.144.4-24.gk.2.24, 240.144.4-24.gk.2.25, 240.144.4-24.gk.2.26, 240.144.4-24.gk.2.27, 240.144.4-24.gk.2.28, 240.144.4-24.gk.2.29, 240.144.4-24.gk.2.30, 240.144.4-24.gk.2.31, 240.144.4-24.gk.2.32, 264.144.4-24.gk.2.1, 264.144.4-24.gk.2.2, 264.144.4-24.gk.2.3, 264.144.4-24.gk.2.4, 264.144.4-24.gk.2.5, 264.144.4-24.gk.2.6, 264.144.4-24.gk.2.7, 264.144.4-24.gk.2.8, 264.144.4-24.gk.2.9, 264.144.4-24.gk.2.10, 264.144.4-24.gk.2.11, 264.144.4-24.gk.2.12, 264.144.4-24.gk.2.13, 264.144.4-24.gk.2.14, 264.144.4-24.gk.2.15, 264.144.4-24.gk.2.16, 264.144.4-24.gk.2.17, 264.144.4-24.gk.2.18, 264.144.4-24.gk.2.19, 264.144.4-24.gk.2.20, 264.144.4-24.gk.2.21, 264.144.4-24.gk.2.22, 264.144.4-24.gk.2.23, 264.144.4-24.gk.2.24, 264.144.4-24.gk.2.25, 264.144.4-24.gk.2.26, 264.144.4-24.gk.2.27, 264.144.4-24.gk.2.28, 264.144.4-24.gk.2.29, 264.144.4-24.gk.2.30, 264.144.4-24.gk.2.31, 264.144.4-24.gk.2.32, 312.144.4-24.gk.2.1, 312.144.4-24.gk.2.2, 312.144.4-24.gk.2.3, 312.144.4-24.gk.2.4, 312.144.4-24.gk.2.5, 312.144.4-24.gk.2.6, 312.144.4-24.gk.2.7, 312.144.4-24.gk.2.8, 312.144.4-24.gk.2.9, 312.144.4-24.gk.2.10, 312.144.4-24.gk.2.11, 312.144.4-24.gk.2.12, 312.144.4-24.gk.2.13, 312.144.4-24.gk.2.14, 312.144.4-24.gk.2.15, 312.144.4-24.gk.2.16, 312.144.4-24.gk.2.17, 312.144.4-24.gk.2.18, 312.144.4-24.gk.2.19, 312.144.4-24.gk.2.20, 312.144.4-24.gk.2.21, 312.144.4-24.gk.2.22, 312.144.4-24.gk.2.23, 312.144.4-24.gk.2.24, 312.144.4-24.gk.2.25, 312.144.4-24.gk.2.26, 312.144.4-24.gk.2.27, 312.144.4-24.gk.2.28, 312.144.4-24.gk.2.29, 312.144.4-24.gk.2.30, 312.144.4-24.gk.2.31, 312.144.4-24.gk.2.32
Cyclic 24-isogeny field degree: $4$
Cyclic 24-torsion field degree: $32$
Full 24-torsion field degree: $1024$

Jacobian

Conductor: $2^{10}\cdot3^{8}$
Simple: no
Squarefree: no
Decomposition: $1^{2}\cdot2$
Newforms: 36.2.a.a$^{2}$, 72.2.d.a

Models

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

$ 0 $ $=$ $ x z + x w - y z + 2 y w $
$=$ $7 x^{3} + 4 x^{2} y + 4 x y^{2} - z^{3} + z^{2} w - z w^{2}$
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Singular plane model Singular plane model

$ 0 $ $=$ $ 15 x^{3} y^{3} - 54 x^{3} y^{2} z + 72 x^{3} y z^{2} - 48 x^{3} z^{3} + y^{3} z^{3} - y^{2} z^{4} + y z^{5} $
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Rational points

This modular curve has 2 rational cusps but no known non-cuspidal rational points. The following are the coordinates of the rational cusps on this modular curve.

Canonical model
$(0:0:0:1)$, $(0:1:0:0)$

Maps between models of this curve

Birational map from canonical model to plane model:

$\displaystyle X$ $=$ $\displaystyle x-y$
$\displaystyle Y$ $=$ $\displaystyle 3z$
$\displaystyle Z$ $=$ $\displaystyle 3w$

Maps to other modular curves

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

$\displaystyle j$ $=$ $\displaystyle -\frac{5}{2^3\cdot3^4\cdot7^3}\cdot\frac{106853165617500000000x^{2}y^{10}+823914531922482000000x^{2}y^{7}w^{3}+8298139549253594405400x^{2}y^{4}w^{6}+87563872227477701633949x^{2}yw^{9}+60924151350000000000xy^{11}+463875347639376000000xy^{8}w^{3}+4496664448634604487200xy^{5}w^{6}+49706282991727390191282xy^{2}w^{9}+61014653784000000000y^{12}+457745657031000000000y^{9}w^{3}+4555798903129311000000y^{6}w^{6}+49066156219939235269200y^{3}w^{9}-4138005984250000z^{12}+12054312907600000z^{11}w+7389030263139920000z^{10}w^{2}+223224880829713168000z^{9}w^{3}-159401804951625529600z^{8}w^{4}+966764337855332512000z^{7}w^{5}+1494157046940756101000z^{6}w^{6}+3247617381598545640240z^{5}w^{7}+6871209993418089965384z^{4}w^{8}+1433375916860923917375z^{3}w^{9}+3070849488073328769840z^{2}w^{10}+6248016438615647373384zw^{11}+14896155708984375w^{12}}{147261796875x^{2}y^{7}w^{3}+791837187750x^{2}y^{4}w^{6}+1840619667033x^{2}yw^{9}-136193906250xy^{8}w^{3}+118910592000xy^{5}w^{6}+658550237769xy^{2}w^{9}+204290859375y^{6}w^{6}+562822080750y^{3}w^{9}+128678593750z^{12}-411771500000z^{11}w+1050017325000z^{10}w^{2}-1729443579375z^{9}w^{3}+2242181461500z^{8}w^{4}-2274581955750z^{7}w^{5}+1780902877050z^{6}w^{6}-1051596151995z^{5}w^{7}+611528589528z^{4}w^{8}-159431981075z^{3}w^{9}+92907917755z^{2}w^{10}+137670839028zw^{11}}$

Modular covers

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Cover information

Click on a modular curve in the diagram to see information about it.

This modular curve minimally covers the modular curves listed below.

Covered curve Level Index Degree Genus Rank Kernel decomposition
24.24.0.bz.1 $24$ $3$ $3$ $0$ $0$ full Jacobian
24.36.2.cj.1 $24$ $2$ $2$ $2$ $0$ $2$

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

Covering curve Level Index Degree Genus Rank Kernel decomposition
24.144.7.baw.1 $24$ $2$ $2$ $7$ $0$ $1\cdot2$
24.144.7.bba.2 $24$ $2$ $2$ $7$ $1$ $1\cdot2$
24.144.7.bbe.2 $24$ $2$ $2$ $7$ $0$ $1\cdot2$
24.144.7.bbi.2 $24$ $2$ $2$ $7$ $0$ $1\cdot2$
24.144.7.bbn.2 $24$ $2$ $2$ $7$ $0$ $1\cdot2$
24.144.7.bbs.2 $24$ $2$ $2$ $7$ $0$ $1\cdot2$
24.144.7.bbw.2 $24$ $2$ $2$ $7$ $0$ $1\cdot2$
24.144.7.bca.1 $24$ $2$ $2$ $7$ $0$ $1\cdot2$
24.144.8.fo.2 $24$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
24.144.8.fs.1 $24$ $2$ $2$ $8$ $1$ $1^{2}\cdot2$
24.144.8.fw.1 $24$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
24.144.8.ge.1 $24$ $2$ $2$ $8$ $1$ $1^{2}\cdot2$
24.144.8.gj.1 $24$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
24.144.8.gk.1 $24$ $2$ $2$ $8$ $1$ $1^{2}\cdot2$
24.144.8.go.2 $24$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
24.144.8.gv.1 $24$ $2$ $2$ $8$ $1$ $1^{2}\cdot2$
24.144.8.ha.1 $24$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
24.144.8.he.1 $24$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
24.144.8.hi.2 $24$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
24.144.8.hm.2 $24$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
24.144.8.hs.2 $24$ $2$ $2$ $8$ $1$ $1^{2}\cdot2$
24.144.8.hw.2 $24$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
24.144.8.ia.1 $24$ $2$ $2$ $8$ $1$ $1^{2}\cdot2$
24.144.8.ie.1 $24$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
48.144.8.dz.2 $48$ $2$ $2$ $8$ $1$ $1^{2}\cdot2$
48.144.8.eb.2 $48$ $2$ $2$ $8$ $1$ $1^{2}\cdot2$
48.144.8.ep.2 $48$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
48.144.8.er.1 $48$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
48.144.8.fd.2 $48$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
48.144.8.fj.1 $48$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
48.144.8.ft.2 $48$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
48.144.8.fz.2 $48$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
48.144.8.hn.1 $48$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
48.144.8.ib.2 $48$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
48.144.8.id.2 $48$ $2$ $2$ $8$ $1$ $1^{2}\cdot2$
48.144.8.ir.2 $48$ $2$ $2$ $8$ $1$ $1^{2}\cdot2$
48.144.8.iv.2 $48$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
48.144.8.jf.2 $48$ $2$ $2$ $8$ $0$ $1^{2}\cdot2$
48.144.8.jl.1 $48$ $2$ $2$ $8$ $1$ $1^{2}\cdot2$
48.144.8.jv.2 $48$ $2$ $2$ $8$ $1$ $1^{2}\cdot2$
48.144.9.el.2 $48$ $2$ $2$ $9$ $0$ $1^{3}\cdot2$
48.144.9.ev.1 $48$ $2$ $2$ $9$ $0$ $1^{3}\cdot2$
48.144.9.fb.2 $48$ $2$ $2$ $9$ $1$ $1^{3}\cdot2$
48.144.9.fl.2 $48$ $2$ $2$ $9$ $1$ $1^{3}\cdot2$
48.144.9.ir.2 $48$ $2$ $2$ $9$ $1$ $1^{3}\cdot2$
48.144.9.jf.2 $48$ $2$ $2$ $9$ $1$ $1^{3}\cdot2$
48.144.9.jh.2 $48$ $2$ $2$ $9$ $1$ $1^{3}\cdot2$
48.144.9.jv.1 $48$ $2$ $2$ $9$ $1$ $1^{3}\cdot2$
48.144.9.mr.1 $48$ $2$ $2$ $9$ $0$ $1^{3}\cdot2$
48.144.9.mx.2 $48$ $2$ $2$ $9$ $0$ $1^{3}\cdot2$
48.144.9.nh.1 $48$ $2$ $2$ $9$ $1$ $1^{3}\cdot2$
48.144.9.nn.1 $48$ $2$ $2$ $9$ $1$ $1^{3}\cdot2$
48.144.9.od.1 $48$ $2$ $2$ $9$ $1$ $1^{3}\cdot2$
48.144.9.of.1 $48$ $2$ $2$ $9$ $1$ $1^{3}\cdot2$
48.144.9.ot.1 $48$ $2$ $2$ $9$ $1$ $1^{3}\cdot2$
48.144.9.ov.2 $48$ $2$ $2$ $9$ $1$ $1^{3}\cdot2$
72.216.16.iw.1 $72$ $3$ $3$ $16$ $?$ not computed
120.144.7.frx.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fsf.2 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fsn.1 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fsv.2 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.ftd.2 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.ftl.2 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.ftt.2 $120$ $2$ $2$ $7$ $?$ not computed
120.144.7.fub.2 $120$ $2$ $2$ $7$ $?$ not computed
120.144.8.ri.2 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.rq.2 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.ry.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.sg.2 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.sw.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.te.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.tm.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.tu.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.uc.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.uk.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.us.2 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.va.2 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.vi.2 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.vq.2 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.vy.1 $120$ $2$ $2$ $8$ $?$ not computed
120.144.8.wg.1 $120$ $2$ $2$ $8$ $?$ not computed
168.144.7.exs.2 $168$ $2$ $2$ $7$ $?$ not computed
168.144.7.eya.1 $168$ $2$ $2$ $7$ $?$ not computed
168.144.7.eyi.2 $168$ $2$ $2$ $7$ $?$ not computed
168.144.7.eyq.1 $168$ $2$ $2$ $7$ $?$ not computed
168.144.7.eyy.2 $168$ $2$ $2$ $7$ $?$ not computed
168.144.7.ezg.1 $168$ $2$ $2$ $7$ $?$ not computed
168.144.7.ezo.2 $168$ $2$ $2$ $7$ $?$ not computed
168.144.7.ezw.2 $168$ $2$ $2$ $7$ $?$ not computed
168.144.8.ra.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.ri.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.rq.1 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.ry.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.sg.1 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.so.1 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.sw.1 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.te.1 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.tm.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.tu.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.uc.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.uk.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.us.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.va.2 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.vi.1 $168$ $2$ $2$ $8$ $?$ not computed
168.144.8.vq.1 $168$ $2$ $2$ $8$ $?$ not computed
240.144.8.kl.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.8.kn.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.8.lr.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.8.lt.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.8.mv.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.8.nb.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.8.ob.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.8.oh.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.8.st.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.8.tp.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.8.tz.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.8.uv.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.8.vh.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.8.vz.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.8.wn.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.8.xf.2 $240$ $2$ $2$ $8$ $?$ not computed
240.144.9.xj.2 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.yb.2 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.yp.2 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.zh.2 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.zt.2 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.bap.2 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.baz.2 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.bbv.2 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.bnd.1 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.bnj.1 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.boj.1 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.bop.1 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.bpr.1 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.bpt.1 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.bqx.1 $240$ $2$ $2$ $9$ $?$ not computed
240.144.9.bqz.1 $240$ $2$ $2$ $9$ $?$ not computed
264.144.7.exs.1 $264$ $2$ $2$ $7$ $?$ not computed
264.144.7.eya.2 $264$ $2$ $2$ $7$ $?$ not computed
264.144.7.eyi.2 $264$ $2$ $2$ $7$ $?$ not computed
264.144.7.eyq.2 $264$ $2$ $2$ $7$ $?$ not computed
264.144.7.eyy.2 $264$ $2$ $2$ $7$ $?$ not computed
264.144.7.ezg.2 $264$ $2$ $2$ $7$ $?$ not computed
264.144.7.ezo.2 $264$ $2$ $2$ $7$ $?$ not computed
264.144.7.ezw.2 $264$ $2$ $2$ $7$ $?$ not computed
264.144.8.rc.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.rk.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.rs.1 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.sa.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.si.1 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.sq.1 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.sy.1 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.tg.1 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.tt.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.ub.1 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.uj.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.ur.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.uz.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.vh.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.vp.2 $264$ $2$ $2$ $8$ $?$ not computed
264.144.8.vx.1 $264$ $2$ $2$ $8$ $?$ not computed
312.144.7.fgu.1 $312$ $2$ $2$ $7$ $?$ not computed
312.144.7.fhc.2 $312$ $2$ $2$ $7$ $?$ not computed
312.144.7.fhk.1 $312$ $2$ $2$ $7$ $?$ not computed
312.144.7.fhs.2 $312$ $2$ $2$ $7$ $?$ not computed
312.144.7.fia.2 $312$ $2$ $2$ $7$ $?$ not computed
312.144.7.fii.2 $312$ $2$ $2$ $7$ $?$ not computed
312.144.7.fiq.2 $312$ $2$ $2$ $7$ $?$ not computed
312.144.7.fiy.2 $312$ $2$ $2$ $7$ $?$ not computed
312.144.8.ri.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.rq.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.ry.1 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.sg.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.sw.1 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.te.1 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.tm.1 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.tu.1 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.uc.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.uk.1 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.us.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.va.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.vi.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.vq.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.vy.2 $312$ $2$ $2$ $8$ $?$ not computed
312.144.8.wg.1 $312$ $2$ $2$ $8$ $?$ not computed