Invariants
| Level: | $24$ | $\SL_2$-level: | $24$ | Newform level: | $192$ | ||
| 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: | $0$ | ||||||
| $\Q$-gonality: | $2$ | ||||||
| $\overline{\Q}$-gonality: | $2$ | ||||||
| Rational cusps: | $1$ | ||||||
| Rational CM points: | yes $\quad(D =$ $-4$) |
Other labels
| Cummins and Pauli (CP) label: | 24E1 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 24.36.1.84 |
Level structure
| $\GL_2(\Z/24\Z)$-generators: | $\begin{bmatrix}1&22\\16&5\end{bmatrix}$, $\begin{bmatrix}3&14\\8&3\end{bmatrix}$, $\begin{bmatrix}5&23\\2&7\end{bmatrix}$, $\begin{bmatrix}9&14\\20&21\end{bmatrix}$, $\begin{bmatrix}19&23\\20&17\end{bmatrix}$, $\begin{bmatrix}21&5\\16&3\end{bmatrix}$ |
| 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: | $2^{6}\cdot3$ |
| Simple: | yes |
| Squarefree: | yes |
| Decomposition: | $1$ |
| Newforms: | 192.2.a.d |
Models
Weierstrass model Weierstrass model
| $ y^{2} $ | $=$ | $ x^{3} + x^{2} + 3x + 3 $ |
Rational points
This modular curve has 1 rational cusp and 1 rational CM point, but no other known rational points. The following are the coordinates of the rational cusps on this modular curve.
| Weierstrass model |
|---|
| $(0:1:0)$ |
Maps to other modular curves
$j$-invariant map of degree 36 from the Weierstrass model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle \frac{24x^{2}y^{10}-6400x^{2}y^{8}z^{2}+33024x^{2}y^{6}z^{4}-110592x^{2}y^{4}z^{6}+55296x^{2}y^{2}z^{8}-240xy^{10}z+11264xy^{8}z^{3}-1536xy^{6}z^{5}-110592xy^{2}z^{9}-y^{12}+1544y^{10}z^{2}-32400y^{8}z^{4}+145152y^{6}z^{6}-228096y^{4}z^{8}+165888y^{2}z^{10}-110592z^{12}}{z^{8}(8x^{2}y^{2}-16xy^{2}z-y^{4}+24y^{2}z^{2}-64z^{4})}$ |
Modular covers
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.l.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.m.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.by.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.cb.1 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.72.2.cx.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.cy.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.dm.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.dp.1 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.72.2.fm.1 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.72.2.fn.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.fq.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.fr.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.ig.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.ih.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.ik.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.il.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.3.xc.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.xf.1 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.72.3.xt.1 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.72.3.xu.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.yy.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.zb.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.bat.1 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.72.3.bau.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.bdm.1 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.72.3.bdn.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.bdq.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.bdr.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.bgs.1 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.72.3.bgt.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.bgw.1 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.72.3.bgx.1 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.72.4.p.1 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{3}$ |
| 24.72.4.ct.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.ds.1 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{3}$ |
| 24.72.4.dv.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.kd.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.ke.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.kk.1 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{3}$ |
| 24.72.4.kn.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.mg.1 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{3}$ |
| 24.72.4.mh.1 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{3}$ |
| 24.72.4.mk.1 | $24$ | $2$ | $2$ | $4$ | $2$ | $1^{3}$ |
| 24.72.4.ml.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.os.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.ot.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.ow.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.ox.1 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{3}$ |
| 24.72.5.fg.1 | $24$ | $2$ | $2$ | $5$ | $0$ | $1^{4}$ |
| 24.72.5.fh.1 | $24$ | $2$ | $2$ | $5$ | $0$ | $1^{4}$ |
| 24.72.5.fk.1 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 24.72.5.fl.1 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 24.72.5.lc.1 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 24.72.5.ld.1 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 24.72.5.lg.1 | $24$ | $2$ | $2$ | $5$ | $2$ | $1^{4}$ |
| 24.72.5.lh.1 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 72.108.6.cx.1 | $72$ | $3$ | $3$ | $6$ | $?$ | not computed |
| 72.324.20.g.1 | $72$ | $9$ | $9$ | $20$ | $?$ | not computed |
| 120.72.2.v.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.w.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.ci.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.cl.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.fd.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.fe.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.gq.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.gt.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.os.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.ot.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.ow.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.ox.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.tq.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.tr.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.tu.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.tv.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.3.geq.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.get.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.ggf.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.ggg.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.giy.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.gjb.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.gkn.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.gko.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.gxo.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.gxp.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.gxs.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.gxt.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.hcm.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.hcn.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.hcq.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.hcr.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.4.zi.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.zk.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bbe.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bbg.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bdq.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bds.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bfm.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bfo.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bnq.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bnr.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bnu.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bnv.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bso.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bsp.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bss.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bst.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.5.bps.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.72.5.bpt.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.72.5.bpw.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.72.5.bpx.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.72.5.buq.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.72.5.bur.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.72.5.buu.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.72.5.buv.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.180.13.buo.1 | $120$ | $5$ | $5$ | $13$ | $?$ | not computed |
| 120.216.13.cee.1 | $120$ | $6$ | $6$ | $13$ | $?$ | not computed |
| 168.72.2.v.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.w.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.ci.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.cl.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.fd.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.fe.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.gq.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.gt.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.os.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.ot.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.ow.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.ox.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.tq.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.tr.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.tu.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.tv.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.3.flu.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.flx.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.fnj.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.fnk.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.fqc.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.fqf.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.frr.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.frs.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.gak.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.gal.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.gao.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.gap.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.gfi.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.gfj.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.gfm.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.gfn.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.4.yk.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.ym.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bag.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bai.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bcs.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bcu.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.beo.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.beq.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bms.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bmt.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bmw.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bmx.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.brq.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.brr.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bru.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.brv.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.5.bam.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.72.5.ban.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.72.5.baq.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.72.5.bar.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.72.5.bfk.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.72.5.bfl.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.72.5.bfo.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.72.5.bfp.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.288.22.dm.1 | $168$ | $8$ | $8$ | $22$ | $?$ | not computed |
| 264.72.2.v.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.w.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.ci.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.cl.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.fd.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.fe.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.gq.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.gt.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.os.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.ot.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.ow.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.ox.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.tq.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.tr.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.tu.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.tv.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.3.flu.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.flx.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.fnj.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.fnk.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.fqc.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.fqf.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.frr.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.frs.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.gak.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.gal.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.gao.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.gap.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.gfi.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.gfj.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.gfm.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.gfn.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.4.ys.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.yu.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bao.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.baq.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bda.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bdc.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bew.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bey.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bna.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bnb.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bne.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bnf.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bry.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.brz.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bsc.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bsd.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.5.bam.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.72.5.ban.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.72.5.baq.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.72.5.bar.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.72.5.bfk.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.72.5.bfl.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.72.5.bfo.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.72.5.bfp.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.72.2.v.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.w.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.ci.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.cl.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.fd.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.fe.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.gq.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.gt.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.os.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.ot.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.ow.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.ox.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.tq.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.tr.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.tu.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.tv.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.3.flu.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.flx.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.fnj.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.fnk.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.fqc.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.fqf.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.frr.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.frs.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.gak.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.gal.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.gao.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.gap.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.gfi.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.gfj.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.gfm.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.gfn.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.4.zi.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.zk.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bbe.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bbg.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bdq.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bds.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bfm.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bfo.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bnq.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bnr.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bnu.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bnv.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bso.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bsp.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bss.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bst.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.5.bam.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.72.5.ban.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.72.5.baq.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.72.5.bar.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.72.5.bfk.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.72.5.bfl.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.72.5.bfo.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.72.5.bfp.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |