Invariants
| Level: | $24$ | $\SL_2$-level: | $12$ | Newform level: | $36$ | ||
| Index: | $36$ | $\PSL_2$-index: | $18$ | ||||
| Genus: | $1 = 1 + \frac{ 18 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 3 }{2}$ | ||||||
| Cusps: | $3$ (all of which are rational) | Cusp widths | $3^{2}\cdot12$ | Cusp orbits | $1^{3}$ | ||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ | ||||||
| Analytic rank: | $0$ | ||||||
| $\Q$-gonality: | $2$ | ||||||
| $\overline{\Q}$-gonality: | $2$ | ||||||
| Rational cusps: | $3$ | ||||||
| Rational CM points: | yes $\quad(D =$ $-4,-16$) |
Other labels
| Cummins and Pauli (CP) label: | 12B1 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 24.36.1.50 |
Level structure
| $\GL_2(\Z/24\Z)$-generators: | $\begin{bmatrix}3&4\\20&15\end{bmatrix}$, $\begin{bmatrix}13&1\\16&11\end{bmatrix}$, $\begin{bmatrix}19&3\\0&19\end{bmatrix}$, $\begin{bmatrix}19&9\\0&1\end{bmatrix}$, $\begin{bmatrix}19&17\\8&11\end{bmatrix}$, $\begin{bmatrix}23&2\\16&11\end{bmatrix}$ |
| Contains $-I$: | no $\quad$ (see 12.18.1.c.1 for the level structure with $-I$) |
| Cyclic 24-isogeny field degree: | $8$ |
| Cyclic 24-torsion field degree: | $64$ |
| Full 24-torsion field degree: | $2048$ |
Jacobian
| Conductor: | $2^{2}\cdot3^{2}$ |
| Simple: | yes |
| Squarefree: | yes |
| Decomposition: | $1$ |
| Newforms: | 36.2.a.a |
Models
Weierstrass model Weierstrass model
| $ y^{2} $ | $=$ | $ x^{3} + 1 $ |
Rational points
This modular curve has 3 rational cusps and 2 rational CM points, but no other known rational points. The following are the known rational points on this modular curve (one row per $j$-invariant).
| Elliptic curve | CM | $j$-invariant | $j$-height | Weierstrass model | |
|---|---|---|---|---|---|
| no | $\infty$ | $0.000$ | $(0:1:0)$, $(0:1:1)$, $(0:-1:1)$ | ||
| 32.a3 | $-4$ | $1728$ | $= 2^{6} \cdot 3^{3}$ | $7.455$ | $(-1:0:1)$ |
| 32.a1 | $-16$ | $287496$ | $= 2^{3} \cdot 3^{3} \cdot 11^{3}$ | $12.569$ | $(2:-3:1)$, $(2:3:1)$ |
Maps to other modular curves
$j$-invariant map of degree 18 from the Weierstrass model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle 2^6\,\frac{(4y^{2}-3z^{2})^{3}}{z^{4}(y-z)(y+z)}$ |
Modular covers
The following modular covers realize this modular curve as a fiber product over $X(1)$.
| Factor curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| $X_{\mathrm{ns}}^+(3)$ | $3$ | $12$ | $6$ | $0$ | $0$ | full Jacobian |
| 8.12.0-4.c.1.3 | $8$ | $3$ | $3$ | $0$ | $0$ | full Jacobian |
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 8.12.0-4.c.1.3 | $8$ | $3$ | $3$ | $0$ | $0$ | 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 |
|---|---|---|---|---|---|---|
| 24.72.1-12.i.1.8 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.72.1-12.j.1.6 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.72.1-12.m.1.18 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.72.1-12.n.1.5 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.72.1-24.be.1.5 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.72.1-24.bh.1.7 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.72.1-24.bq.1.1 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.72.1-24.bt.1.3 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.72.2-12.b.1.16 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.j.1.2 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-12.p.1.4 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-12.s.1.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-12.t.1.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-12.w.1.6 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-12.x.1.12 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-12.ba.1.5 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-12.bb.1.8 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.bu.1.4 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.72.2-24.cc.1.6 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cf.1.8 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.72.2-24.ci.1.11 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.ci.1.22 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cj.1.3 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cj.1.46 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.ck.1.3 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.ck.1.30 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cl.1.11 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cl.1.22 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cm.1.4 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cm.1.29 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cn.1.12 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cn.1.21 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.co.1.12 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.co.1.21 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cp.1.4 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cp.1.29 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cq.1.4 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cq.1.29 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cr.1.12 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cr.1.21 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cs.1.12 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cs.1.21 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.ct.1.4 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.72.2-24.ct.1.29 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.72.2-24.cu.1.11 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cu.1.22 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cv.1.3 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.72.2-24.cv.1.30 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.72.2-24.cw.1.3 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cw.1.30 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.cx.1.11 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.72.2-24.cx.1.22 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.72.2-24.de.1.13 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.dh.1.4 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.dq.1.5 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2-24.dt.1.12 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 72.108.4-36.c.1.6 | $72$ | $3$ | $3$ | $4$ | $?$ | not computed |
| 72.324.10-36.f.1.9 | $72$ | $9$ | $9$ | $10$ | $?$ | not computed |
| 120.72.1-60.i.1.7 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.72.1-60.j.1.15 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.72.1-60.m.1.5 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.72.1-60.n.1.2 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.72.1-120.be.1.14 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.72.1-120.bh.1.18 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.72.1-120.bq.1.13 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.72.1-120.bt.1.3 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.72.2-60.s.1.7 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-60.t.1.3 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-60.w.1.7 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-60.x.1.5 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-60.ba.1.5 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-60.bb.1.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-60.be.1.3 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-60.bf.1.3 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.cc.1.10 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.cf.1.12 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.co.1.14 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.cr.1.12 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.cu.1.18 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.cu.1.47 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.cv.1.15 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.cv.1.50 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.cw.1.15 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.cw.1.50 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.cx.1.18 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.cx.1.47 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.cy.1.16 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.cy.1.49 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.cz.1.17 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.cz.1.48 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.da.1.17 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.da.1.48 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.db.1.16 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.db.1.49 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.dc.1.16 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.dc.1.49 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.dd.1.17 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.dd.1.48 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.de.1.17 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.de.1.48 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.df.1.16 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.df.1.49 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.dg.1.18 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.dg.1.47 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.dh.1.15 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.dh.1.50 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.di.1.15 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.di.1.50 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.dj.1.18 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.dj.1.47 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.dq.1.20 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.dt.1.5 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.ec.1.3 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2-120.ef.1.6 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.180.7-60.c.1.11 | $120$ | $5$ | $5$ | $7$ | $?$ | not computed |
| 120.216.7-60.c.1.9 | $120$ | $6$ | $6$ | $7$ | $?$ | not computed |
| 120.360.13-60.be.1.10 | $120$ | $10$ | $10$ | $13$ | $?$ | not computed |
| 168.72.1-84.i.1.4 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.72.1-84.j.1.6 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.72.1-84.m.1.15 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.72.1-84.n.1.2 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.72.1-168.be.1.13 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.72.1-168.bh.1.17 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.72.1-168.bq.1.19 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.72.1-168.bt.1.6 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.72.2-84.s.1.8 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-84.t.1.8 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-84.w.1.8 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-84.x.1.4 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-84.ba.1.2 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-84.bb.1.6 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-84.be.1.3 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-84.bf.1.4 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.cc.1.5 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.cf.1.7 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.co.1.13 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.cr.1.7 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.cu.1.18 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.cu.1.47 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.cv.1.15 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.cv.1.50 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.cw.1.15 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.cw.1.50 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.cx.1.18 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.cx.1.47 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.cy.1.16 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.cy.1.49 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.cz.1.17 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.cz.1.48 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.da.1.17 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.da.1.48 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.db.1.16 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.db.1.49 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.dc.1.16 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.dc.1.49 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.dd.1.17 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.dd.1.48 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.de.1.17 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.de.1.48 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.df.1.16 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.df.1.49 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.dg.1.18 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.dg.1.47 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.dh.1.15 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.dh.1.50 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.di.1.15 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.di.1.50 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.dj.1.18 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.dj.1.47 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.dq.1.22 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.dt.1.6 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.eb.1.2 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2-168.ee.1.7 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.288.10-84.c.1.37 | $168$ | $8$ | $8$ | $10$ | $?$ | not computed |
| 264.72.1-132.i.1.5 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.72.1-132.j.1.1 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.72.1-132.m.1.2 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.72.1-132.n.1.2 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.72.1-264.be.1.13 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.72.1-264.bh.1.17 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.72.1-264.bq.1.14 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.72.1-264.bt.1.6 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.72.2-132.s.1.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-132.t.1.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-132.w.1.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-132.x.1.5 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-132.ba.1.6 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-132.bb.1.14 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-132.be.1.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-132.bf.1.5 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.cc.1.9 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.cf.1.11 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.co.1.7 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.cr.1.11 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.cu.1.18 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.cu.1.47 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.cv.1.23 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.cv.1.42 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.cw.1.23 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.cw.1.42 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.cx.1.18 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.cx.1.47 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.cy.1.24 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.cy.1.41 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.cz.1.17 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.cz.1.48 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.da.1.17 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.da.1.48 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.db.1.24 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.db.1.41 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.dc.1.24 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.dc.1.41 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.dd.1.17 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.dd.1.48 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.de.1.17 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.de.1.48 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.df.1.24 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.df.1.41 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.dg.1.18 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.dg.1.47 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.dh.1.23 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.dh.1.42 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.di.1.23 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.di.1.42 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.dj.1.18 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.dj.1.47 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.dq.1.22 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.dt.1.6 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.ec.1.2 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2-264.ef.1.7 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.432.16-132.c.1.29 | $264$ | $12$ | $12$ | $16$ | $?$ | not computed |
| 312.72.1-156.i.1.7 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.72.1-156.j.1.3 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.72.1-156.m.1.4 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.72.1-156.n.1.2 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.72.1-312.be.1.14 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.72.1-312.bh.1.18 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.72.1-312.bq.1.20 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.72.1-312.bt.1.5 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.72.2-156.s.1.6 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-156.t.1.4 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-156.w.1.6 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-156.x.1.2 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-156.ba.1.6 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-156.bb.1.23 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-156.be.1.7 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-156.bf.1.7 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.cc.1.10 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.cf.1.12 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.co.1.14 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.cr.1.8 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.cu.1.31 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.cu.1.34 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.cv.1.15 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.cv.1.50 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.cw.1.15 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.cw.1.50 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.cx.1.31 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.cx.1.34 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.cy.1.13 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.cy.1.52 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.cz.1.29 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.cz.1.36 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.da.1.29 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.da.1.36 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.db.1.13 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.db.1.52 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.dc.1.13 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.dc.1.52 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.dd.1.29 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.dd.1.36 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.de.1.29 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.de.1.36 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.df.1.13 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.df.1.52 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.dg.1.31 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.dg.1.34 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.dh.1.15 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.dh.1.50 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.di.1.15 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.di.1.50 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.dj.1.31 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.dj.1.34 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.dq.1.22 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.dt.1.3 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.ec.1.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2-312.ef.1.12 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.504.19-156.c.1.11 | $312$ | $14$ | $14$ | $19$ | $?$ | not computed |