Invariants
| Level: | $12$ | $\SL_2$-level: | $12$ | Newform level: | $24$ | ||
| Index: | $48$ | $\PSL_2$-index: | $48$ | ||||
| Genus: | $1 = 1 + \frac{ 48 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 8 }{2}$ | ||||||
| Cusps: | $8$ (all of which are rational) | Cusp widths | $2^{2}\cdot4^{2}\cdot6^{2}\cdot12^{2}$ | Cusp orbits | $1^{8}$ | ||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ | ||||||
| Analytic rank: | $0$ | ||||||
| $\Q$-gonality: | $2$ | ||||||
| $\overline{\Q}$-gonality: | $2$ | ||||||
| Rational cusps: | $8$ | ||||||
| Rational CM points: | none |
Other labels
| Cummins and Pauli (CP) label: | 12P1 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 12.48.1.3 |
Level structure
Jacobian
| Conductor: | $2^{3}\cdot3$ |
| Simple: | yes |
| Squarefree: | yes |
| Decomposition: | $1$ |
| Newforms: | 24.2.a.a |
Models
Weierstrass model Weierstrass model
| $ y^{2} $ | $=$ | $ x^{3} - x^{2} - 4x + 4 $ |
Rational points
This modular curve has 8 rational cusps but no known non-cuspidal rational points. The following are the coordinates of the rational cusps on this modular curve.
| Weierstrass model |
|---|
| $(1:0:1)$, $(0:-2:1)$, $(-2:0:1)$, $(4:6:1)$, $(2:0:1)$, $(4:-6:1)$, $(0:1:0)$, $(0:2:1)$ |
Maps to other modular curves
$j$-invariant map of degree 48 from the Weierstrass model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle -\frac{16x^{2}y^{14}-254370x^{2}y^{12}z^{2}+272792952x^{2}y^{10}z^{4}-43885840685x^{2}y^{8}z^{6}+1881465528280x^{2}y^{6}z^{8}-31188954184569x^{2}y^{4}z^{10}+218165771777620x^{2}y^{2}z^{12}-541652977285693x^{2}z^{14}-852xy^{14}z+2923620xy^{12}z^{3}-2032924815xy^{10}z^{5}+217907337732xy^{8}z^{7}-7546917207824xy^{6}z^{9}+109553117422806xy^{4}z^{11}-699635304814401xy^{2}z^{13}+1624959302500352xz^{15}-y^{16}+11420y^{14}z^{2}-33883710y^{12}z^{4}+9961460717y^{10}z^{6}-628484953611y^{8}z^{8}+14424778023672y^{6}z^{10}-146070717545179y^{4}z^{12}+662020649013103y^{2}z^{14}-1083306712635148z^{16}}{zy^{4}(77x^{2}y^{8}z+128x^{2}y^{6}z^{3}-1280x^{2}y^{4}z^{5}+2048x^{2}y^{2}z^{7}+16384x^{2}z^{9}+xy^{10}-224xy^{8}z^{2}+384xy^{6}z^{4}-2048xy^{4}z^{6}+6144xy^{2}z^{8}+16384xz^{10}-15y^{10}z-20y^{8}z^{3}+1280y^{4}z^{7}+8192y^{2}z^{9}-32768z^{11})}$ |
Modular covers
Cover information
Click on a modular curve in the diagram to see information about it.
|
The following modular covers realize this modular curve as a fiber product over $X(1)$.
| Factor curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| $X_0(3)$ | $3$ | $12$ | $12$ | $0$ | $0$ | full Jacobian |
| $X_{\pm1}(2,4)$ | $4$ | $4$ | $4$ | $0$ | $0$ | full Jacobian |
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| $X_{\pm1}(2,4)$ | $4$ | $4$ | $4$ | $0$ | $0$ | full Jacobian |
| $X_{\pm1}(2,6)$ | $6$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
| $X_0(12)$ | $12$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
| 12.24.1.k.1 | $12$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
This modular curve is minimally covered by the modular curves in the database listed below.
| Covering curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 12.96.1.b.1 | $12$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| $X_{\pm1}(2,12)$ | $12$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 12.96.1.b.3 | $12$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 12.96.1.b.4 | $12$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 12.96.3.b.1 | $12$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 12.96.3.e.1 | $12$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 12.96.3.g.1 | $12$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 12.96.3.g.2 | $12$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 12.144.5.b.1 | $12$ | $3$ | $3$ | $5$ | $0$ | $1^{4}$ |
| 24.96.1.ck.1 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.96.1.ck.2 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.96.1.ck.3 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.96.1.ck.4 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.96.3.f.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.96.3.bf.1 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.96.3.bk.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bk.2 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bl.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bl.2 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bm.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bm.2 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bm.3 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bm.4 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bn.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bn.2 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bo.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bo.2 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bp.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bp.2 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bq.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bq.2 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.br.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.br.2 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.br.3 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.br.4 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bv.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.bv.2 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.96.3.cg.1 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.96.3.ch.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.96.3.ck.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.96.3.cl.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.96.5.c.1 | $24$ | $2$ | $2$ | $5$ | $0$ | $1^{4}$ |
| 24.96.5.d.1 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 24.96.5.g.1 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 24.96.5.h.1 | $24$ | $2$ | $2$ | $5$ | $2$ | $1^{4}$ |
| 24.96.5.k.1 | $24$ | $2$ | $2$ | $5$ | $0$ | $4$ |
| 24.96.5.k.2 | $24$ | $2$ | $2$ | $5$ | $0$ | $4$ |
| 24.96.5.l.1 | $24$ | $2$ | $2$ | $5$ | $0$ | $4$ |
| 24.96.5.l.2 | $24$ | $2$ | $2$ | $5$ | $0$ | $4$ |
| 36.144.5.b.1 | $36$ | $3$ | $3$ | $5$ | $0$ | $1^{4}$ |
| 36.144.9.b.1 | $36$ | $3$ | $3$ | $9$ | $1$ | $1^{8}$ |
| 36.144.9.f.1 | $36$ | $3$ | $3$ | $9$ | $0$ | $1^{8}$ |
| 60.96.1.b.1 | $60$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 60.96.1.b.2 | $60$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 60.96.1.b.3 | $60$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 60.96.1.b.4 | $60$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 60.96.3.c.1 | $60$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 60.96.3.f.1 | $60$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 60.96.3.l.1 | $60$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 60.96.3.l.2 | $60$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 60.240.17.b.1 | $60$ | $5$ | $5$ | $17$ | $1$ | $1^{16}$ |
| 60.288.17.b.1 | $60$ | $6$ | $6$ | $17$ | $0$ | $1^{16}$ |
| 60.480.33.n.1 | $60$ | $10$ | $10$ | $33$ | $2$ | $1^{32}$ |
| 84.96.1.b.1 | $84$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 84.96.1.b.2 | $84$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 84.96.1.b.3 | $84$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 84.96.1.b.4 | $84$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 84.96.3.c.1 | $84$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 84.96.3.f.1 | $84$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 84.96.3.l.1 | $84$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 84.96.3.l.2 | $84$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.1.lg.1 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.96.1.lg.2 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.96.1.lg.3 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.96.1.lg.4 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.96.3.ds.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.dz.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.eq.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.eq.2 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.er.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.er.2 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.es.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.es.2 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.es.3 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.es.4 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.et.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.et.2 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.eu.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.eu.2 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.ev.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.ev.2 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.ew.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.ew.2 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.ex.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.ex.2 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.ex.3 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.ex.4 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.fb.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.fb.2 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.fy.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.fz.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.gc.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3.gd.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.5.c.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.96.5.d.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.96.5.g.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.96.5.h.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.96.5.k.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.96.5.k.2 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.96.5.l.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.96.5.l.2 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 132.96.1.b.1 | $132$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 132.96.1.b.2 | $132$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 132.96.1.b.3 | $132$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 132.96.1.b.4 | $132$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 132.96.3.c.1 | $132$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 132.96.3.f.1 | $132$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 132.96.3.l.1 | $132$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 132.96.3.l.2 | $132$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 156.96.1.b.1 | $156$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 156.96.1.b.2 | $156$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 156.96.1.b.3 | $156$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 156.96.1.b.4 | $156$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 156.96.3.c.1 | $156$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 156.96.3.f.1 | $156$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 156.96.3.l.1 | $156$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 156.96.3.l.2 | $156$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.1.lg.1 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.96.1.lg.2 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.96.1.lg.3 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.96.1.lg.4 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.96.3.cu.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.db.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.ds.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.ds.2 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.dt.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.dt.2 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.du.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.du.2 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.du.3 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.du.4 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.dv.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.dv.2 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.dw.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.dw.2 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.dx.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.dx.2 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.dy.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.dy.2 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.dz.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.dz.2 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.dz.3 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.dz.4 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.ed.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.ed.2 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.fa.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.fb.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.fe.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3.ff.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.5.c.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.96.5.d.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.96.5.g.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.96.5.h.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.96.5.k.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.96.5.k.2 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.96.5.l.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.96.5.l.2 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 204.96.1.b.1 | $204$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 204.96.1.b.2 | $204$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 204.96.1.b.3 | $204$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 204.96.1.b.4 | $204$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 204.96.3.c.1 | $204$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 204.96.3.f.1 | $204$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 204.96.3.l.1 | $204$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 204.96.3.l.2 | $204$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 228.96.1.b.1 | $228$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 228.96.1.b.2 | $228$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 228.96.1.b.3 | $228$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 228.96.1.b.4 | $228$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 228.96.3.c.1 | $228$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 228.96.3.f.1 | $228$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 228.96.3.l.1 | $228$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 228.96.3.l.2 | $228$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.1.lg.1 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.96.1.lg.2 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.96.1.lg.3 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.96.1.lg.4 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.96.3.cu.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.db.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.ds.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.ds.2 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.dt.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.dt.2 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.du.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.du.2 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.du.3 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.du.4 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.dv.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.dv.2 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.dw.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.dw.2 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.dx.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.dx.2 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.dy.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.dy.2 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.dz.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.dz.2 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.dz.3 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.dz.4 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.ed.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.ed.2 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.fa.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.fb.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.fe.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3.ff.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.5.c.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.96.5.d.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.96.5.g.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.96.5.h.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.96.5.k.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.96.5.k.2 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.96.5.l.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.96.5.l.2 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 276.96.1.b.1 | $276$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 276.96.1.b.2 | $276$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 276.96.1.b.3 | $276$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 276.96.1.b.4 | $276$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 276.96.3.c.1 | $276$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 276.96.3.f.1 | $276$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 276.96.3.l.1 | $276$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 276.96.3.l.2 | $276$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.1.lg.1 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.96.1.lg.2 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.96.1.lg.3 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.96.1.lg.4 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.96.3.ds.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.dz.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.eq.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.eq.2 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.er.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.er.2 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.es.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.es.2 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.es.3 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.es.4 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.et.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.et.2 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.eu.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.eu.2 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.ev.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.ev.2 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.ew.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.ew.2 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.ex.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.ex.2 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.ex.3 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.ex.4 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.fb.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.fb.2 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.fy.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.fz.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.gc.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3.gd.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.5.c.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.96.5.d.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.96.5.g.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.96.5.h.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.96.5.k.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.96.5.k.2 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.96.5.l.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.96.5.l.2 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |