Properties

Label 24.36.1.gh.1
Level $24$
Index $36$
Genus $1$
Analytic rank $1$
Cusps $3$
$\Q$-cusps $1$

Related objects

Downloads

Learn more

Invariants

Level: $24$ $\SL_2$-level: $24$ Newform level: $576$
Index: $36$ $\PSL_2$-index:$36$
Genus: $1 = 1 + \frac{ 36 }{12} - \frac{ 6 }{4} - \frac{ 0 }{3} - \frac{ 3 }{2}$
Cusps: $3$ (of which $1$ is rational) Cusp widths $6^{2}\cdot24$ Cusp orbits $1\cdot2$
Elliptic points: $6$ of order $2$ and $0$ of order $3$
Analytic rank: $1$
$\Q$-gonality: $2$
$\overline{\Q}$-gonality: $2$
Rational cusps: $1$
Rational CM points: yes $\quad(D =$ $-4,-7$)

Other labels

Cummins and Pauli (CP) label: 24E1
Rouse, Sutherland, and Zureick-Brown (RSZB) label: 24.36.1.89

Level structure

$\GL_2(\Z/24\Z)$-generators: $\begin{bmatrix}5&11\\14&19\end{bmatrix}$, $\begin{bmatrix}5&15\\0&23\end{bmatrix}$, $\begin{bmatrix}5&16\\4&13\end{bmatrix}$, $\begin{bmatrix}17&10\\4&1\end{bmatrix}$, $\begin{bmatrix}17&22\\2&11\end{bmatrix}$, $\begin{bmatrix}23&20\\4&11\end{bmatrix}$
Contains $-I$: yes
Quadratic refinements: none in database
Cyclic 24-isogeny field degree: $16$
Cyclic 24-torsion field degree: $128$
Full 24-torsion field degree: $2048$

Jacobian

Conductor: $2^{6}\cdot3^{2}$
Simple: yes
Squarefree: yes
Decomposition: $1$
Newforms: 576.2.a.b

Models

Weierstrass model Weierstrass model

$ y^{2} $ $=$ $ x^{3} + 24x + 56 $
Copy content Toggle raw display

Rational points

This modular curve has infinitely many rational points, including 1 stored non-cuspidal point.

Maps to other modular curves

$j$-invariant map of degree 36 from the Weierstrass model of this modular curve to the modular curve $X(1)$ :

$\displaystyle j$ $=$ $\displaystyle \frac{1}{3^{12}}\cdot\frac{72x^{2}y^{10}-518400x^{2}y^{8}z^{2}+72223488x^{2}y^{6}z^{4}-6530347008x^{2}y^{4}z^{6}+88159684608x^{2}y^{2}z^{8}-2304xy^{10}z+3773952xy^{8}z^{3}-154524672xy^{6}z^{5}+13060694016xy^{4}z^{7}-705277476864xy^{2}z^{9}-y^{12}+43920y^{10}z^{2}-26875152y^{8}z^{4}+2939328000y^{6}z^{6}-127749913344y^{4}z^{8}+2997429276672y^{2}z^{10}-42845606719488z^{12}}{z^{8}(24x^{2}y^{2}-192xy^{2}z-y^{4}+816y^{2}z^{2}-46656z^{4})}$

Modular covers

Sorry, your browser does not support the nearby lattice.

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
12.18.0.l.1 $12$ $2$ $2$ $0$ $0$ 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
24.72.2.t.1 $24$ $2$ $2$ $2$ $1$ $1$
24.72.2.u.1 $24$ $2$ $2$ $2$ $1$ $1$
24.72.2.cc.1 $24$ $2$ $2$ $2$ $1$ $1$
24.72.2.cf.1 $24$ $2$ $2$ $2$ $2$ $1$
24.72.2.cl.1 $24$ $2$ $2$ $2$ $1$ $1$
24.72.2.cm.1 $24$ $2$ $2$ $2$ $1$ $1$
24.72.2.ek.1 $24$ $2$ $2$ $2$ $1$ $1$
24.72.2.en.1 $24$ $2$ $2$ $2$ $2$ $1$
24.72.2.ge.1 $24$ $2$ $2$ $2$ $1$ $1$
24.72.2.gf.1 $24$ $2$ $2$ $2$ $1$ $1$
24.72.2.gi.1 $24$ $2$ $2$ $2$ $1$ $1$
24.72.2.gj.1 $24$ $2$ $2$ $2$ $1$ $1$
24.72.2.iy.1 $24$ $2$ $2$ $2$ $2$ $1$
24.72.2.iz.1 $24$ $2$ $2$ $2$ $1$ $1$
24.72.2.jc.1 $24$ $2$ $2$ $2$ $1$ $1$
24.72.2.jd.1 $24$ $2$ $2$ $2$ $1$ $1$
24.72.3.wq.1 $24$ $2$ $2$ $3$ $1$ $1^{2}$
24.72.3.wt.1 $24$ $2$ $2$ $3$ $1$ $1^{2}$
24.72.3.yr.1 $24$ $2$ $2$ $3$ $2$ $1^{2}$
24.72.3.ys.1 $24$ $2$ $2$ $3$ $2$ $1^{2}$
24.72.3.zi.1 $24$ $2$ $2$ $3$ $1$ $1^{2}$
24.72.3.zl.1 $24$ $2$ $2$ $3$ $1$ $1^{2}$
24.72.3.bax.1 $24$ $2$ $2$ $3$ $2$ $1^{2}$
24.72.3.bay.1 $24$ $2$ $2$ $3$ $1$ $1^{2}$
24.72.3.bee.1 $24$ $2$ $2$ $3$ $2$ $1^{2}$
24.72.3.bef.1 $24$ $2$ $2$ $3$ $1$ $1^{2}$
24.72.3.bei.1 $24$ $2$ $2$ $3$ $1$ $1^{2}$
24.72.3.bej.1 $24$ $2$ $2$ $3$ $1$ $1^{2}$
24.72.3.bhk.1 $24$ $2$ $2$ $3$ $2$ $1^{2}$
24.72.3.bhl.1 $24$ $2$ $2$ $3$ $1$ $1^{2}$
24.72.3.bho.1 $24$ $2$ $2$ $3$ $2$ $1^{2}$
24.72.3.bhp.1 $24$ $2$ $2$ $3$ $2$ $1^{2}$
24.72.4.l.1 $24$ $2$ $2$ $4$ $1$ $1^{3}$
24.72.4.dd.1 $24$ $2$ $2$ $4$ $2$ $1^{3}$
24.72.4.en.1 $24$ $2$ $2$ $4$ $2$ $1^{3}$
24.72.4.ep.1 $24$ $2$ $2$ $4$ $2$ $1^{3}$
24.72.4.kd.1 $24$ $2$ $2$ $4$ $1$ $1^{3}$
24.72.4.kf.1 $24$ $2$ $2$ $4$ $2$ $1^{3}$
24.72.4.lb.1 $24$ $2$ $2$ $4$ $1$ $1^{3}$
24.72.4.ld.1 $24$ $2$ $2$ $4$ $2$ $1^{3}$
24.72.4.my.1 $24$ $2$ $2$ $4$ $1$ $1^{3}$
24.72.4.mz.1 $24$ $2$ $2$ $4$ $1$ $1^{3}$
24.72.4.nc.1 $24$ $2$ $2$ $4$ $3$ $1^{3}$
24.72.4.nd.1 $24$ $2$ $2$ $4$ $2$ $1^{3}$
24.72.4.pk.1 $24$ $2$ $2$ $4$ $2$ $1^{3}$
24.72.4.pl.1 $24$ $2$ $2$ $4$ $2$ $1^{3}$
24.72.4.po.1 $24$ $2$ $2$ $4$ $2$ $1^{3}$
24.72.4.pp.1 $24$ $2$ $2$ $4$ $1$ $1^{3}$
24.72.5.fy.1 $24$ $2$ $2$ $5$ $1$ $1^{4}$
24.72.5.fz.1 $24$ $2$ $2$ $5$ $1$ $1^{4}$
24.72.5.gc.1 $24$ $2$ $2$ $5$ $3$ $1^{4}$
24.72.5.gd.1 $24$ $2$ $2$ $5$ $2$ $1^{4}$
24.72.5.lu.1 $24$ $2$ $2$ $5$ $2$ $1^{4}$
24.72.5.lv.1 $24$ $2$ $2$ $5$ $2$ $1^{4}$
24.72.5.ly.1 $24$ $2$ $2$ $5$ $2$ $1^{4}$
24.72.5.lz.1 $24$ $2$ $2$ $5$ $2$ $1^{4}$
72.108.6.ck.1 $72$ $3$ $3$ $6$ $?$ not computed
72.324.20.t.1 $72$ $9$ $9$ $20$ $?$ not computed
120.72.2.bd.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.2.be.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.2.dw.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.2.dz.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.2.fl.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.2.fm.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.2.ie.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.2.ih.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.2.qq.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.2.qr.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.2.qu.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.2.qv.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.2.vo.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.2.vp.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.2.vs.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.2.vt.1 $120$ $2$ $2$ $2$ $?$ not computed
120.72.3.gey.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.3.gfb.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.3.ght.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.3.ghu.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.3.gjg.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.3.gjj.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.3.gmb.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.3.gmc.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.3.gzm.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.3.gzn.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.3.gzq.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.3.gzr.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.3.hek.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.3.hel.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.3.heo.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.3.hep.1 $120$ $2$ $2$ $3$ $?$ not computed
120.72.4.bap.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.4.bar.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.4.bcl.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.4.bcn.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.4.bex.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.4.bez.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.4.bgt.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.4.bgv.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.4.bpo.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.4.bpp.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.4.bps.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.4.bpt.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.4.bum.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.4.bun.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.4.buq.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.4.bur.1 $120$ $2$ $2$ $4$ $?$ not computed
120.72.5.brq.1 $120$ $2$ $2$ $5$ $?$ not computed
120.72.5.brr.1 $120$ $2$ $2$ $5$ $?$ not computed
120.72.5.bru.1 $120$ $2$ $2$ $5$ $?$ not computed
120.72.5.brv.1 $120$ $2$ $2$ $5$ $?$ not computed
120.72.5.bwo.1 $120$ $2$ $2$ $5$ $?$ not computed
120.72.5.bwp.1 $120$ $2$ $2$ $5$ $?$ not computed
120.72.5.bws.1 $120$ $2$ $2$ $5$ $?$ not computed
120.72.5.bwt.1 $120$ $2$ $2$ $5$ $?$ not computed
120.180.13.bvr.1 $120$ $5$ $5$ $13$ $?$ not computed
120.216.13.cfx.1 $120$ $6$ $6$ $13$ $?$ not computed
168.72.2.bd.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.2.be.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.2.dw.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.2.dz.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.2.fl.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.2.fm.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.2.ie.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.2.ih.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.2.qq.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.2.qr.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.2.qu.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.2.qv.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.2.vo.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.2.vp.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.2.vs.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.2.vt.1 $168$ $2$ $2$ $2$ $?$ not computed
168.72.3.fmc.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.3.fmf.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.3.fox.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.3.foy.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.3.fqk.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.3.fqn.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.3.ftf.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.3.ftg.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.3.gci.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.3.gcj.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.3.gcm.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.3.gcn.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.3.ghg.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.3.ghh.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.3.ghk.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.3.ghl.1 $168$ $2$ $2$ $3$ $?$ not computed
168.72.4.zr.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.4.zt.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.4.bbn.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.4.bbp.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.4.bdz.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.4.beb.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.4.bfv.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.4.bfx.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.4.boq.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.4.bor.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.4.bou.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.4.bov.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.4.bto.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.4.btp.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.4.bts.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.4.btt.1 $168$ $2$ $2$ $4$ $?$ not computed
168.72.5.bck.1 $168$ $2$ $2$ $5$ $?$ not computed
168.72.5.bcl.1 $168$ $2$ $2$ $5$ $?$ not computed
168.72.5.bco.1 $168$ $2$ $2$ $5$ $?$ not computed
168.72.5.bcp.1 $168$ $2$ $2$ $5$ $?$ not computed
168.72.5.bhi.1 $168$ $2$ $2$ $5$ $?$ not computed
168.72.5.bhj.1 $168$ $2$ $2$ $5$ $?$ not computed
168.72.5.bhm.1 $168$ $2$ $2$ $5$ $?$ not computed
168.72.5.bhn.1 $168$ $2$ $2$ $5$ $?$ not computed
168.288.22.ep.1 $168$ $8$ $8$ $22$ $?$ not computed
264.72.2.bd.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.2.be.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.2.dw.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.2.dz.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.2.fl.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.2.fm.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.2.ie.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.2.ih.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.2.qq.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.2.qr.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.2.qu.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.2.qv.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.2.vo.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.2.vp.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.2.vs.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.2.vt.1 $264$ $2$ $2$ $2$ $?$ not computed
264.72.3.fmc.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.3.fmf.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.3.fox.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.3.foy.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.3.fqk.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.3.fqn.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.3.ftf.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.3.ftg.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.3.gci.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.3.gcj.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.3.gcm.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.3.gcn.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.3.ghg.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.3.ghh.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.3.ghk.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.3.ghl.1 $264$ $2$ $2$ $3$ $?$ not computed
264.72.4.zz.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.4.bab.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.4.bbv.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.4.bbx.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.4.beh.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.4.bej.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.4.bgd.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.4.bgf.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.4.boy.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.4.boz.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.4.bpc.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.4.bpd.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.4.btw.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.4.btx.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.4.bua.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.4.bub.1 $264$ $2$ $2$ $4$ $?$ not computed
264.72.5.bck.1 $264$ $2$ $2$ $5$ $?$ not computed
264.72.5.bcl.1 $264$ $2$ $2$ $5$ $?$ not computed
264.72.5.bco.1 $264$ $2$ $2$ $5$ $?$ not computed
264.72.5.bcp.1 $264$ $2$ $2$ $5$ $?$ not computed
264.72.5.bhi.1 $264$ $2$ $2$ $5$ $?$ not computed
264.72.5.bhj.1 $264$ $2$ $2$ $5$ $?$ not computed
264.72.5.bhm.1 $264$ $2$ $2$ $5$ $?$ not computed
264.72.5.bhn.1 $264$ $2$ $2$ $5$ $?$ not computed
312.72.2.bd.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.2.be.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.2.dw.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.2.dz.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.2.fl.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.2.fm.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.2.ie.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.2.ih.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.2.qq.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.2.qr.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.2.qu.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.2.qv.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.2.vo.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.2.vp.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.2.vs.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.2.vt.1 $312$ $2$ $2$ $2$ $?$ not computed
312.72.3.fmc.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.3.fmf.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.3.fox.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.3.foy.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.3.fqk.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.3.fqn.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.3.ftf.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.3.ftg.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.3.gci.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.3.gcj.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.3.gcm.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.3.gcn.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.3.ghg.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.3.ghh.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.3.ghk.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.3.ghl.1 $312$ $2$ $2$ $3$ $?$ not computed
312.72.4.bap.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.4.bar.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.4.bcl.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.4.bcn.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.4.bex.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.4.bez.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.4.bgt.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.4.bgv.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.4.bpo.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.4.bpp.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.4.bps.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.4.bpt.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.4.bum.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.4.bun.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.4.buq.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.4.bur.1 $312$ $2$ $2$ $4$ $?$ not computed
312.72.5.bck.1 $312$ $2$ $2$ $5$ $?$ not computed
312.72.5.bcl.1 $312$ $2$ $2$ $5$ $?$ not computed
312.72.5.bco.1 $312$ $2$ $2$ $5$ $?$ not computed
312.72.5.bcp.1 $312$ $2$ $2$ $5$ $?$ not computed
312.72.5.bhi.1 $312$ $2$ $2$ $5$ $?$ not computed
312.72.5.bhj.1 $312$ $2$ $2$ $5$ $?$ not computed
312.72.5.bhm.1 $312$ $2$ $2$ $5$ $?$ not computed
312.72.5.bhn.1 $312$ $2$ $2$ $5$ $?$ not computed