Invariants
| Level: | $24$ | $\SL_2$-level: | $24$ | Newform level: | $48$ | ||
| Index: | $96$ | $\PSL_2$-index: | $48$ | ||||
| Genus: | $1 = 1 + \frac{ 48 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 8 }{2}$ | ||||||
| Cusps: | $8$ (of which $4$ are rational) | Cusp widths | $2^{2}\cdot4^{2}\cdot6^{2}\cdot12^{2}$ | Cusp orbits | $1^{4}\cdot2^{2}$ | ||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ | ||||||
| Analytic rank: | $0$ | ||||||
| $\Q$-gonality: | $2$ | ||||||
| $\overline{\Q}$-gonality: | $2$ | ||||||
| Rational cusps: | $4$ | ||||||
| Rational CM points: | none |
Other labels
| Cummins and Pauli (CP) label: | 12P1 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 24.96.1.80 |
Level structure
| $\GL_2(\Z/24\Z)$-generators: | $\begin{bmatrix}7&20\\12&23\end{bmatrix}$, $\begin{bmatrix}13&3\\0&19\end{bmatrix}$, $\begin{bmatrix}13&23\\0&11\end{bmatrix}$, $\begin{bmatrix}17&5\\12&23\end{bmatrix}$, $\begin{bmatrix}19&1\\0&17\end{bmatrix}$, $\begin{bmatrix}23&12\\0&19\end{bmatrix}$ |
| $\GL_2(\Z/24\Z)$-subgroup: | $C_4^2:C_2^2\times D_6$ |
| Contains $-I$: | no $\quad$ (see 12.48.1.h.1 for the level structure with $-I$) |
| Cyclic 24-isogeny field degree: | $2$ |
| Cyclic 24-torsion field degree: | $16$ |
| Full 24-torsion field degree: | $768$ |
Jacobian
| Conductor: | $2^{4}\cdot3$ |
| Simple: | yes |
| Squarefree: | yes |
| Decomposition: | $1$ |
| Newforms: | 48.2.a.a |
Models
Weierstrass model Weierstrass model
| $ y^{2} $ | $=$ | $ x^{3} + x^{2} - 4x - 4 $ |
Rational points
This modular curve has 4 rational cusps but no known non-cuspidal rational points. The following are the coordinates of the rational cusps on this modular curve.
| Weierstrass model |
|---|
| $(-2:0:1)$, $(-1:0:1)$, $(2:0:1)$, $(0:1:0)$ |
Maps to other modular curves
$j$-invariant map of degree 48 from the Weierstrass model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle \frac{704x^{2}y^{14}-177336930x^{2}y^{12}z^{2}+6662967048x^{2}y^{10}z^{4}-39730690445x^{2}y^{8}z^{6}-1733264134600x^{2}y^{6}z^{8}-31191974083449x^{2}y^{4}z^{10}-218165583033940x^{2}y^{2}z^{12}-541652977285693x^{2}z^{14}-167892xy^{14}z+722985420xy^{12}z^{3}-7149731535xy^{10}z^{5}-105491553972xy^{8}z^{7}-7173558615824xy^{6}z^{9}-109550050338006xy^{4}z^{11}-699635493558081xy^{2}z^{13}-1624959302500352xz^{15}-y^{16}+14346820y^{14}z^{2}-1769988750y^{12}z^{4}+2528788963y^{10}z^{6}-493342117851y^{8}z^{8}-14196265474872y^{6}z^{10}-146064819305179y^{4}z^{12}-662021026500463y^{2}z^{14}-1083306712635148z^{16}}{y^{2}(x^{2}y^{12}+7956x^{2}y^{10}z^{2}+1491176x^{2}y^{8}z^{4}+35241762x^{2}y^{6}z^{6}+181423109x^{2}y^{4}z^{8}+262144x^{2}y^{2}z^{10}+262144x^{2}z^{12}+40xy^{12}z+67407xy^{10}z^{3}+6695820xy^{8}z^{5}+120907433xy^{6}z^{7}+544079872xy^{4}z^{9}-196608xy^{2}z^{11}-262144xz^{13}+726y^{12}z^{2}+355527y^{10}z^{4}+15297521y^{8}z^{6}+146300111y^{6}z^{8}+362860524y^{4}z^{10}-720896y^{2}z^{12}-524288z^{14})}$ |
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 |
|---|---|---|---|---|---|---|
| $X_0(3)$ | $3$ | $24$ | $12$ | $0$ | $0$ | full Jacobian |
| 8.24.0-4.d.1.2 | $8$ | $4$ | $4$ | $0$ | $0$ | full Jacobian |
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 8.24.0-4.d.1.2 | $8$ | $4$ | $4$ | $0$ | $0$ | full Jacobian |
| 24.48.0-12.g.1.12 | $24$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
| 24.48.0-12.g.1.15 | $24$ | $2$ | $2$ | $0$ | $0$ | 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 |
|---|---|---|---|---|---|---|
| 24.192.1-12.e.1.5 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.192.1-12.e.1.15 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.192.1-12.e.2.7 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.192.1-12.e.2.9 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.192.1-24.cx.1.9 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.192.1-24.cx.1.16 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.192.1-24.cx.2.9 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.192.1-24.cx.2.16 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.192.3-12.m.1.5 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.192.3-12.n.1.11 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.192.3-12.o.1.15 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.192.3-12.o.2.15 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.192.3-24.de.1.2 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.192.3-24.df.1.12 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.192.3-24.ds.1.7 | $24$ | $2$ | $2$ | $3$ | $2$ | $1^{2}$ |
| 24.192.3-24.dt.1.7 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.192.3-24.eb.1.3 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.192.3-24.ec.1.5 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.192.3-24.ed.1.4 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.192.3-24.ed.1.14 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.192.3-24.ed.2.4 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.192.3-24.ed.2.14 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.192.3-24.ee.1.3 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.192.3-24.ee.1.16 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.192.3-24.ee.2.3 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.192.3-24.ee.2.16 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.192.3-24.ef.1.22 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.192.3-24.ef.2.22 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.192.3-24.em.1.3 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.192.3-24.en.1.6 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.192.3-24.eq.1.6 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.192.3-24.er.1.4 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.192.5-24.bc.1.19 | $24$ | $2$ | $2$ | $5$ | $0$ | $1^{4}$ |
| 24.192.5-24.bd.1.15 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 24.192.5-24.be.1.17 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 24.192.5-24.bf.1.15 | $24$ | $2$ | $2$ | $5$ | $2$ | $1^{4}$ |
| 24.192.5-24.bg.1.4 | $24$ | $2$ | $2$ | $5$ | $0$ | $4$ |
| 24.192.5-24.bg.2.4 | $24$ | $2$ | $2$ | $5$ | $0$ | $4$ |
| 24.192.5-24.bh.1.6 | $24$ | $2$ | $2$ | $5$ | $0$ | $4$ |
| 24.192.5-24.bh.2.8 | $24$ | $2$ | $2$ | $5$ | $0$ | $4$ |
| 24.288.5-12.n.1.15 | $24$ | $3$ | $3$ | $5$ | $0$ | $1^{4}$ |
| 72.288.5-36.h.1.5 | $72$ | $3$ | $3$ | $5$ | $?$ | not computed |
| 72.288.9-36.n.1.11 | $72$ | $3$ | $3$ | $9$ | $?$ | not computed |
| 72.288.9-36.p.1.23 | $72$ | $3$ | $3$ | $9$ | $?$ | not computed |
| 120.192.1-60.i.1.13 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.192.1-60.i.1.19 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.192.1-60.i.2.13 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.192.1-60.i.2.19 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.192.1-120.qt.1.20 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.192.1-120.qt.1.29 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.192.1-120.qt.2.20 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.192.1-120.qt.2.29 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.192.3-60.bh.1.19 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-60.bi.1.14 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-60.bj.1.19 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-60.bj.2.19 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.jg.1.29 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.jh.1.21 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.jk.1.3 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.jl.1.11 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.kf.1.32 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.kg.1.29 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.kh.1.7 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.kh.1.25 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.kh.2.7 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.kh.2.25 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.ki.1.3 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.ki.1.29 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.ki.2.3 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.ki.2.29 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.kj.1.26 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.kj.2.26 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.ku.1.19 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.kv.1.3 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.ky.1.13 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.kz.1.29 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.5-120.bg.1.3 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.192.5-120.bh.1.3 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.192.5-120.bi.1.3 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.192.5-120.bj.1.3 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.192.5-120.bk.1.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.192.5-120.bk.2.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.192.5-120.bl.1.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.192.5-120.bl.2.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.480.17-60.p.1.51 | $120$ | $5$ | $5$ | $17$ | $?$ | not computed |
| 168.192.1-84.i.1.11 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.192.1-84.i.1.17 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.192.1-84.i.2.9 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.192.1-84.i.2.18 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.192.1-168.qt.1.18 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.192.1-168.qt.1.31 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.192.1-168.qt.2.20 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.192.1-168.qt.2.29 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.192.3-84.bh.1.24 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-84.bi.1.15 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-84.bj.1.31 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-84.bj.2.23 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.hg.1.9 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.hh.1.29 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.hk.1.29 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.hl.1.17 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.if.1.14 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ig.1.28 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ih.1.16 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ih.1.18 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ih.2.14 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ih.2.20 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ii.1.4 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ii.1.30 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ii.2.8 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ii.2.26 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ij.1.30 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ij.2.34 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.iq.1.25 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ir.1.13 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.iu.1.21 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.iv.1.19 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.5-168.br.1.32 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.192.5-168.bs.1.12 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.192.5-168.bt.1.32 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.192.5-168.bu.1.8 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.192.5-168.bv.1.10 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.192.5-168.bv.2.18 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.192.5-168.bw.1.30 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.192.5-168.bw.2.30 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.192.1-132.i.1.16 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.192.1-132.i.1.17 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.192.1-132.i.2.13 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.192.1-132.i.2.20 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.192.1-264.qt.1.17 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.192.1-264.qt.1.32 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.192.1-264.qt.2.17 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.192.1-264.qt.2.32 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.192.3-132.bh.1.22 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-132.bi.1.24 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-132.bj.1.24 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-132.bj.2.28 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.hg.1.29 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.hh.1.33 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.hk.1.29 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.hl.1.33 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.if.1.13 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ig.1.13 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ih.1.3 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ih.1.29 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ih.2.3 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ih.2.29 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ii.1.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ii.1.31 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ii.2.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ii.2.31 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ij.1.28 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ij.2.28 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.iq.1.25 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ir.1.19 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.iu.1.25 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.iv.1.19 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.5-264.bc.1.20 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.192.5-264.bd.1.8 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.192.5-264.be.1.20 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.192.5-264.bf.1.8 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.192.5-264.bg.1.5 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.192.5-264.bg.2.5 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.192.5-264.bh.1.17 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.192.5-264.bh.2.17 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.192.1-156.i.1.17 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.192.1-156.i.1.22 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.192.1-156.i.2.14 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.192.1-156.i.2.21 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.192.1-312.qt.1.17 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.192.1-312.qt.1.28 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.192.1-312.qt.2.18 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.192.1-312.qt.2.29 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.192.3-156.bh.1.10 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-156.bi.1.14 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-156.bj.1.27 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-156.bj.2.19 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.jg.1.22 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.jh.1.20 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.jk.1.6 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.jl.1.10 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.kf.1.21 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.kg.1.28 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.kh.1.2 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.kh.1.23 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.kh.2.6 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.kh.2.25 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.ki.1.2 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.ki.1.27 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.ki.2.6 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.ki.2.25 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.kj.1.32 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.kj.2.36 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.ku.1.10 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.kv.1.6 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.ky.1.20 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.kz.1.22 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.5-312.bg.1.5 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.192.5-312.bh.1.5 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.192.5-312.bi.1.11 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.192.5-312.bj.1.29 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.192.5-312.bk.1.5 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.192.5-312.bk.2.3 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.192.5-312.bl.1.5 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.192.5-312.bl.2.3 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |