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Properties

Label 12.24.1.l.1
Level $12$
Index $24$
Genus $1$
Analytic rank $0$
Cusps $4$
$\Q$-cusps $4$

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Invariants

Level: $12$ $\SL_2$-level: $12$ Newform level: $48$
Index: $24$ $\PSL_2$-index:$24$
Genus: $1 = 1 + \frac{ 24 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 4 }{2}$
Cusps: $4$ (all of which are rational) Cusp widths $2\cdot4\cdot6\cdot12$ Cusp orbits $1^{4}$
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: yes $\quad(D =$ $-3,-12$)

Other labels

Cummins and Pauli (CP) label: 12F1
Rouse, Sutherland, and Zureick-Brown (RSZB) label: 12.24.1.6

Level structure

$\GL_2(\Z/12\Z)$-generators: $\begin{bmatrix}1&7\\6&7\end{bmatrix}$, $\begin{bmatrix}5&4\\0&5\end{bmatrix}$, $\begin{bmatrix}5&6\\0&5\end{bmatrix}$, $\begin{bmatrix}7&4\\6&1\end{bmatrix}$, $\begin{bmatrix}7&11\\6&5\end{bmatrix}$
$\GL_2(\Z/12\Z)$-subgroup: $C_{12}:C_2^4$
Contains $-I$: yes
Quadratic refinements: 12.48.1-12.l.1.1, 12.48.1-12.l.1.2, 12.48.1-12.l.1.3, 12.48.1-12.l.1.4, 12.48.1-12.l.1.5, 12.48.1-12.l.1.6, 12.48.1-12.l.1.7, 12.48.1-12.l.1.8, 12.48.1-12.l.1.9, 12.48.1-12.l.1.10, 12.48.1-12.l.1.11, 12.48.1-12.l.1.12, 24.48.1-12.l.1.1, 24.48.1-12.l.1.2, 24.48.1-12.l.1.3, 24.48.1-12.l.1.4, 24.48.1-12.l.1.5, 24.48.1-12.l.1.6, 24.48.1-12.l.1.7, 24.48.1-12.l.1.8, 24.48.1-12.l.1.9, 24.48.1-12.l.1.10, 24.48.1-12.l.1.11, 24.48.1-12.l.1.12, 24.48.1-12.l.1.13, 24.48.1-12.l.1.14, 24.48.1-12.l.1.15, 24.48.1-12.l.1.16, 24.48.1-12.l.1.17, 24.48.1-12.l.1.18, 24.48.1-12.l.1.19, 24.48.1-12.l.1.20, 24.48.1-12.l.1.21, 24.48.1-12.l.1.22, 24.48.1-12.l.1.23, 24.48.1-12.l.1.24, 24.48.1-12.l.1.25, 24.48.1-12.l.1.26, 24.48.1-12.l.1.27, 24.48.1-12.l.1.28, 60.48.1-12.l.1.1, 60.48.1-12.l.1.2, 60.48.1-12.l.1.3, 60.48.1-12.l.1.4, 60.48.1-12.l.1.5, 60.48.1-12.l.1.6, 60.48.1-12.l.1.7, 60.48.1-12.l.1.8, 60.48.1-12.l.1.9, 60.48.1-12.l.1.10, 60.48.1-12.l.1.11, 60.48.1-12.l.1.12, 84.48.1-12.l.1.1, 84.48.1-12.l.1.2, 84.48.1-12.l.1.3, 84.48.1-12.l.1.4, 84.48.1-12.l.1.5, 84.48.1-12.l.1.6, 84.48.1-12.l.1.7, 84.48.1-12.l.1.8, 84.48.1-12.l.1.9, 84.48.1-12.l.1.10, 84.48.1-12.l.1.11, 84.48.1-12.l.1.12, 120.48.1-12.l.1.1, 120.48.1-12.l.1.2, 120.48.1-12.l.1.3, 120.48.1-12.l.1.4, 120.48.1-12.l.1.5, 120.48.1-12.l.1.6, 120.48.1-12.l.1.7, 120.48.1-12.l.1.8, 120.48.1-12.l.1.9, 120.48.1-12.l.1.10, 120.48.1-12.l.1.11, 120.48.1-12.l.1.12, 120.48.1-12.l.1.13, 120.48.1-12.l.1.14, 120.48.1-12.l.1.15, 120.48.1-12.l.1.16, 120.48.1-12.l.1.17, 120.48.1-12.l.1.18, 120.48.1-12.l.1.19, 120.48.1-12.l.1.20, 120.48.1-12.l.1.21, 120.48.1-12.l.1.22, 120.48.1-12.l.1.23, 120.48.1-12.l.1.24, 120.48.1-12.l.1.25, 120.48.1-12.l.1.26, 120.48.1-12.l.1.27, 120.48.1-12.l.1.28, 132.48.1-12.l.1.1, 132.48.1-12.l.1.2, 132.48.1-12.l.1.3, 132.48.1-12.l.1.4, 132.48.1-12.l.1.5, 132.48.1-12.l.1.6, 132.48.1-12.l.1.7, 132.48.1-12.l.1.8, 132.48.1-12.l.1.9, 132.48.1-12.l.1.10, 132.48.1-12.l.1.11, 132.48.1-12.l.1.12, 156.48.1-12.l.1.1, 156.48.1-12.l.1.2, 156.48.1-12.l.1.3, 156.48.1-12.l.1.4, 156.48.1-12.l.1.5, 156.48.1-12.l.1.6, 156.48.1-12.l.1.7, 156.48.1-12.l.1.8, 156.48.1-12.l.1.9, 156.48.1-12.l.1.10, 156.48.1-12.l.1.11, 156.48.1-12.l.1.12, 168.48.1-12.l.1.1, 168.48.1-12.l.1.2, 168.48.1-12.l.1.3, 168.48.1-12.l.1.4, 168.48.1-12.l.1.5, 168.48.1-12.l.1.6, 168.48.1-12.l.1.7, 168.48.1-12.l.1.8, 168.48.1-12.l.1.9, 168.48.1-12.l.1.10, 168.48.1-12.l.1.11, 168.48.1-12.l.1.12, 168.48.1-12.l.1.13, 168.48.1-12.l.1.14, 168.48.1-12.l.1.15, 168.48.1-12.l.1.16, 168.48.1-12.l.1.17, 168.48.1-12.l.1.18, 168.48.1-12.l.1.19, 168.48.1-12.l.1.20, 168.48.1-12.l.1.21, 168.48.1-12.l.1.22, 168.48.1-12.l.1.23, 168.48.1-12.l.1.24, 168.48.1-12.l.1.25, 168.48.1-12.l.1.26, 168.48.1-12.l.1.27, 168.48.1-12.l.1.28, 204.48.1-12.l.1.1, 204.48.1-12.l.1.2, 204.48.1-12.l.1.3, 204.48.1-12.l.1.4, 204.48.1-12.l.1.5, 204.48.1-12.l.1.6, 204.48.1-12.l.1.7, 204.48.1-12.l.1.8, 204.48.1-12.l.1.9, 204.48.1-12.l.1.10, 204.48.1-12.l.1.11, 204.48.1-12.l.1.12, 228.48.1-12.l.1.1, 228.48.1-12.l.1.2, 228.48.1-12.l.1.3, 228.48.1-12.l.1.4, 228.48.1-12.l.1.5, 228.48.1-12.l.1.6, 228.48.1-12.l.1.7, 228.48.1-12.l.1.8, 228.48.1-12.l.1.9, 228.48.1-12.l.1.10, 228.48.1-12.l.1.11, 228.48.1-12.l.1.12, 264.48.1-12.l.1.1, 264.48.1-12.l.1.2, 264.48.1-12.l.1.3, 264.48.1-12.l.1.4, 264.48.1-12.l.1.5, 264.48.1-12.l.1.6, 264.48.1-12.l.1.7, 264.48.1-12.l.1.8, 264.48.1-12.l.1.9, 264.48.1-12.l.1.10, 264.48.1-12.l.1.11, 264.48.1-12.l.1.12, 264.48.1-12.l.1.13, 264.48.1-12.l.1.14, 264.48.1-12.l.1.15, 264.48.1-12.l.1.16, 264.48.1-12.l.1.17, 264.48.1-12.l.1.18, 264.48.1-12.l.1.19, 264.48.1-12.l.1.20, 264.48.1-12.l.1.21, 264.48.1-12.l.1.22, 264.48.1-12.l.1.23, 264.48.1-12.l.1.24, 264.48.1-12.l.1.25, 264.48.1-12.l.1.26, 264.48.1-12.l.1.27, 264.48.1-12.l.1.28, 276.48.1-12.l.1.1, 276.48.1-12.l.1.2, 276.48.1-12.l.1.3, 276.48.1-12.l.1.4, 276.48.1-12.l.1.5, 276.48.1-12.l.1.6, 276.48.1-12.l.1.7, 276.48.1-12.l.1.8, 276.48.1-12.l.1.9, 276.48.1-12.l.1.10, 276.48.1-12.l.1.11, 276.48.1-12.l.1.12, 312.48.1-12.l.1.1, 312.48.1-12.l.1.2, 312.48.1-12.l.1.3, 312.48.1-12.l.1.4, 312.48.1-12.l.1.5, 312.48.1-12.l.1.6, 312.48.1-12.l.1.7, 312.48.1-12.l.1.8, 312.48.1-12.l.1.9, 312.48.1-12.l.1.10, 312.48.1-12.l.1.11, 312.48.1-12.l.1.12, 312.48.1-12.l.1.13, 312.48.1-12.l.1.14, 312.48.1-12.l.1.15, 312.48.1-12.l.1.16, 312.48.1-12.l.1.17, 312.48.1-12.l.1.18, 312.48.1-12.l.1.19, 312.48.1-12.l.1.20, 312.48.1-12.l.1.21, 312.48.1-12.l.1.22, 312.48.1-12.l.1.23, 312.48.1-12.l.1.24, 312.48.1-12.l.1.25, 312.48.1-12.l.1.26, 312.48.1-12.l.1.27, 312.48.1-12.l.1.28
Cyclic 12-isogeny field degree: $2$
Cyclic 12-torsion field degree: $8$
Full 12-torsion field degree: $192$

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} - 24x + 36 $
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Rational points

This modular curve has 4 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 $j$-heightWeierstrass model
27.a3 $-3$$0$ $0.000$$(0:-6:1)$, $(0:6:1)$
no$\infty$ $0.000$$(0:1:0)$, $(-6:0:1)$, $(2:0:1)$, $(3:0:1)$
36.a1 $-12$$54000$ $= 2^{4} \cdot 3^{3} \cdot 5^{3}$$10.897$$(6:-12:1)$, $(6:12:1)$

Maps to other modular curves

$j$-invariant map of degree 24 from the Weierstrass model of this modular curve to the modular curve $X(1)$ :

$\displaystyle j$ $=$ $\displaystyle \frac{4x^{2}y^{6}-303x^{2}y^{4}z^{2}+6128x^{2}y^{2}z^{4}-41041x^{2}z^{6}-30xy^{6}z+1518xy^{4}z^{3}-30793xy^{2}z^{5}+208572xz^{7}-y^{8}+82y^{6}z^{2}-2599y^{4}z^{4}+41089y^{2}z^{6}-257076z^{8}}{z^{4}y^{2}(8x^{2}-40xz-y^{2}+48z^{2})}$

Modular covers

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Cover information

Click on a modular curve in the diagram to see information about it.
See a full page version of the diagram

The following modular covers realize this modular curve as a fiber product over $X(1)$.

Factor curve Level Index Degree Genus Rank Kernel decomposition
$X_0(3)$ $3$ $6$ $6$ $0$ $0$ full Jacobian
4.6.0.e.1 $4$ $4$ $4$ $0$ $0$ full Jacobian

This modular curve minimally covers the modular curves listed below.

Covered curve Level Index Degree Genus Rank Kernel decomposition
4.6.0.e.1 $4$ $4$ $4$ $0$ $0$ full Jacobian
$X_0(6)$ $6$ $2$ $2$ $0$ $0$ 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
12.48.1.a.1 $12$ $2$ $2$ $1$ $0$ dimension zero
12.48.1.h.1 $12$ $2$ $2$ $1$ $0$ dimension zero
12.48.1.o.1 $12$ $2$ $2$ $1$ $0$ dimension zero
12.48.1.p.1 $12$ $2$ $2$ $1$ $0$ dimension zero
12.48.2.c.1 $12$ $2$ $2$ $2$ $0$ $1$
12.48.2.d.1 $12$ $2$ $2$ $2$ $0$ $1$
12.48.2.e.1 $12$ $2$ $2$ $2$ $0$ $1$
12.48.2.f.1 $12$ $2$ $2$ $2$ $0$ $1$
12.72.3.da.1 $12$ $3$ $3$ $3$ $0$ $1^{2}$
24.48.1.cu.1 $24$ $2$ $2$ $1$ $0$ dimension zero
24.48.1.et.1 $24$ $2$ $2$ $1$ $0$ dimension zero
24.48.1.jg.1 $24$ $2$ $2$ $1$ $0$ dimension zero
24.48.1.jj.1 $24$ $2$ $2$ $1$ $0$ dimension zero
24.48.2.h.1 $24$ $2$ $2$ $2$ $0$ $1$
24.48.2.i.1 $24$ $2$ $2$ $2$ $0$ $1$
24.48.2.j.1 $24$ $2$ $2$ $2$ $1$ $1$
24.48.2.k.1 $24$ $2$ $2$ $2$ $0$ $1$
24.48.2.l.1 $24$ $2$ $2$ $2$ $0$ $1$
24.48.2.m.1 $24$ $2$ $2$ $2$ $0$ $1$
24.48.2.n.1 $24$ $2$ $2$ $2$ $0$ $1$
24.48.2.o.1 $24$ $2$ $2$ $2$ $1$ $1$
24.48.2.p.1 $24$ $2$ $2$ $2$ $0$ $1$
24.48.2.q.1 $24$ $2$ $2$ $2$ $0$ $1$
24.48.2.r.1 $24$ $2$ $2$ $2$ $0$ $1$
24.48.2.s.1 $24$ $2$ $2$ $2$ $0$ $1$
24.48.3.c.1 $24$ $2$ $2$ $3$ $0$ $1^{2}$
24.48.3.d.1 $24$ $2$ $2$ $3$ $0$ $1^{2}$
24.48.3.bu.1 $24$ $2$ $2$ $3$ $2$ $1^{2}$
24.48.3.bv.1 $24$ $2$ $2$ $3$ $0$ $1^{2}$
24.48.3.ck.1 $24$ $2$ $2$ $3$ $1$ $1^{2}$
24.48.3.cl.1 $24$ $2$ $2$ $3$ $0$ $1^{2}$
24.48.3.co.1 $24$ $2$ $2$ $3$ $0$ $1^{2}$
24.48.3.cp.1 $24$ $2$ $2$ $3$ $1$ $1^{2}$
36.72.3.x.1 $36$ $3$ $3$ $3$ $0$ $1^{2}$
36.72.5.k.1 $36$ $3$ $3$ $5$ $0$ $1^{4}$
36.72.5.o.1 $36$ $3$ $3$ $5$ $1$ $1^{4}$
60.48.1.bq.1 $60$ $2$ $2$ $1$ $0$ dimension zero
60.48.1.br.1 $60$ $2$ $2$ $1$ $0$ dimension zero
60.48.1.bu.1 $60$ $2$ $2$ $1$ $0$ dimension zero
60.48.1.bv.1 $60$ $2$ $2$ $1$ $0$ dimension zero
60.48.2.c.1 $60$ $2$ $2$ $2$ $1$ $1$
60.48.2.d.1 $60$ $2$ $2$ $2$ $0$ $1$
60.48.2.e.1 $60$ $2$ $2$ $2$ $0$ $1$
60.48.2.f.1 $60$ $2$ $2$ $2$ $1$ $1$
60.120.9.dt.1 $60$ $5$ $5$ $9$ $2$ $1^{8}$
60.144.9.fx.1 $60$ $6$ $6$ $9$ $1$ $1^{8}$
60.240.17.nh.1 $60$ $10$ $10$ $17$ $5$ $1^{16}$
84.48.1.bq.1 $84$ $2$ $2$ $1$ $?$ dimension zero
84.48.1.br.1 $84$ $2$ $2$ $1$ $?$ dimension zero
84.48.1.bu.1 $84$ $2$ $2$ $1$ $?$ dimension zero
84.48.1.bv.1 $84$ $2$ $2$ $1$ $?$ dimension zero
84.48.2.l.1 $84$ $2$ $2$ $2$ $?$ not computed
84.48.2.m.1 $84$ $2$ $2$ $2$ $?$ not computed
84.48.2.n.1 $84$ $2$ $2$ $2$ $?$ not computed
84.48.2.o.1 $84$ $2$ $2$ $2$ $?$ not computed
84.192.13.be.1 $84$ $8$ $8$ $13$ $?$ not computed
120.48.1.bzq.1 $120$ $2$ $2$ $1$ $?$ dimension zero
120.48.1.bzt.1 $120$ $2$ $2$ $1$ $?$ dimension zero
120.48.1.cac.1 $120$ $2$ $2$ $1$ $?$ dimension zero
120.48.1.caf.1 $120$ $2$ $2$ $1$ $?$ dimension zero
120.48.2.j.1 $120$ $2$ $2$ $2$ $?$ not computed
120.48.2.k.1 $120$ $2$ $2$ $2$ $?$ not computed
120.48.2.l.1 $120$ $2$ $2$ $2$ $?$ not computed
120.48.2.m.1 $120$ $2$ $2$ $2$ $?$ not computed
120.48.2.n.1 $120$ $2$ $2$ $2$ $?$ not computed
120.48.2.o.1 $120$ $2$ $2$ $2$ $?$ not computed
120.48.2.p.1 $120$ $2$ $2$ $2$ $?$ not computed
120.48.2.q.1 $120$ $2$ $2$ $2$ $?$ not computed
120.48.2.r.1 $120$ $2$ $2$ $2$ $?$ not computed
120.48.2.s.1 $120$ $2$ $2$ $2$ $?$ not computed
120.48.2.t.1 $120$ $2$ $2$ $2$ $?$ not computed
120.48.2.u.1 $120$ $2$ $2$ $2$ $?$ not computed
120.48.3.co.1 $120$ $2$ $2$ $3$ $?$ not computed
120.48.3.cp.1 $120$ $2$ $2$ $3$ $?$ not computed
120.48.3.cs.1 $120$ $2$ $2$ $3$ $?$ not computed
120.48.3.ct.1 $120$ $2$ $2$ $3$ $?$ not computed
120.48.3.da.1 $120$ $2$ $2$ $3$ $?$ not computed
120.48.3.db.1 $120$ $2$ $2$ $3$ $?$ not computed
120.48.3.de.1 $120$ $2$ $2$ $3$ $?$ not computed
120.48.3.df.1 $120$ $2$ $2$ $3$ $?$ not computed
132.48.1.bq.1 $132$ $2$ $2$ $1$ $?$ dimension zero
132.48.1.br.1 $132$ $2$ $2$ $1$ $?$ dimension zero
132.48.1.bu.1 $132$ $2$ $2$ $1$ $?$ dimension zero
132.48.1.bv.1 $132$ $2$ $2$ $1$ $?$ dimension zero
132.48.2.c.1 $132$ $2$ $2$ $2$ $?$ not computed
132.48.2.d.1 $132$ $2$ $2$ $2$ $?$ not computed
132.48.2.e.1 $132$ $2$ $2$ $2$ $?$ not computed
132.48.2.f.1 $132$ $2$ $2$ $2$ $?$ not computed
132.288.21.bc.1 $132$ $12$ $12$ $21$ $?$ not computed
156.48.1.bq.1 $156$ $2$ $2$ $1$ $?$ dimension zero
156.48.1.br.1 $156$ $2$ $2$ $1$ $?$ dimension zero
156.48.1.bu.1 $156$ $2$ $2$ $1$ $?$ dimension zero
156.48.1.bv.1 $156$ $2$ $2$ $1$ $?$ dimension zero
156.48.2.g.1 $156$ $2$ $2$ $2$ $?$ not computed
156.48.2.h.1 $156$ $2$ $2$ $2$ $?$ not computed
156.48.2.i.1 $156$ $2$ $2$ $2$ $?$ not computed
156.48.2.j.1 $156$ $2$ $2$ $2$ $?$ not computed
168.48.1.bzo.1 $168$ $2$ $2$ $1$ $?$ dimension zero
168.48.1.bzr.1 $168$ $2$ $2$ $1$ $?$ dimension zero
168.48.1.caa.1 $168$ $2$ $2$ $1$ $?$ dimension zero
168.48.1.cad.1 $168$ $2$ $2$ $1$ $?$ dimension zero
168.48.2.t.1 $168$ $2$ $2$ $2$ $?$ not computed
168.48.2.u.1 $168$ $2$ $2$ $2$ $?$ not computed
168.48.2.v.1 $168$ $2$ $2$ $2$ $?$ not computed
168.48.2.w.1 $168$ $2$ $2$ $2$ $?$ not computed
168.48.2.x.1 $168$ $2$ $2$ $2$ $?$ not computed
168.48.2.y.1 $168$ $2$ $2$ $2$ $?$ not computed
168.48.2.z.1 $168$ $2$ $2$ $2$ $?$ not computed
168.48.2.ba.1 $168$ $2$ $2$ $2$ $?$ not computed
168.48.2.bb.1 $168$ $2$ $2$ $2$ $?$ not computed
168.48.2.bc.1 $168$ $2$ $2$ $2$ $?$ not computed
168.48.2.bd.1 $168$ $2$ $2$ $2$ $?$ not computed
168.48.2.be.1 $168$ $2$ $2$ $2$ $?$ not computed
168.48.3.ca.1 $168$ $2$ $2$ $3$ $?$ not computed
168.48.3.cb.1 $168$ $2$ $2$ $3$ $?$ not computed
168.48.3.ce.1 $168$ $2$ $2$ $3$ $?$ not computed
168.48.3.cf.1 $168$ $2$ $2$ $3$ $?$ not computed
168.48.3.ci.1 $168$ $2$ $2$ $3$ $?$ not computed
168.48.3.cj.1 $168$ $2$ $2$ $3$ $?$ not computed
168.48.3.cm.1 $168$ $2$ $2$ $3$ $?$ not computed
168.48.3.cn.1 $168$ $2$ $2$ $3$ $?$ not computed
204.48.1.bq.1 $204$ $2$ $2$ $1$ $?$ dimension zero
204.48.1.br.1 $204$ $2$ $2$ $1$ $?$ dimension zero
204.48.1.bu.1 $204$ $2$ $2$ $1$ $?$ dimension zero
204.48.1.bv.1 $204$ $2$ $2$ $1$ $?$ dimension zero
204.48.2.c.1 $204$ $2$ $2$ $2$ $?$ not computed
204.48.2.d.1 $204$ $2$ $2$ $2$ $?$ not computed
204.48.2.e.1 $204$ $2$ $2$ $2$ $?$ not computed
204.48.2.f.1 $204$ $2$ $2$ $2$ $?$ not computed
228.48.1.bq.1 $228$ $2$ $2$ $1$ $?$ dimension zero
228.48.1.br.1 $228$ $2$ $2$ $1$ $?$ dimension zero
228.48.1.bu.1 $228$ $2$ $2$ $1$ $?$ dimension zero
228.48.1.bv.1 $228$ $2$ $2$ $1$ $?$ dimension zero
228.48.2.g.1 $228$ $2$ $2$ $2$ $?$ not computed
228.48.2.h.1 $228$ $2$ $2$ $2$ $?$ not computed
228.48.2.i.1 $228$ $2$ $2$ $2$ $?$ not computed
228.48.2.j.1 $228$ $2$ $2$ $2$ $?$ not computed
264.48.1.bzo.1 $264$ $2$ $2$ $1$ $?$ dimension zero
264.48.1.bzr.1 $264$ $2$ $2$ $1$ $?$ dimension zero
264.48.1.caa.1 $264$ $2$ $2$ $1$ $?$ dimension zero
264.48.1.cad.1 $264$ $2$ $2$ $1$ $?$ dimension zero
264.48.2.h.1 $264$ $2$ $2$ $2$ $?$ not computed
264.48.2.i.1 $264$ $2$ $2$ $2$ $?$ not computed
264.48.2.j.1 $264$ $2$ $2$ $2$ $?$ not computed
264.48.2.k.1 $264$ $2$ $2$ $2$ $?$ not computed
264.48.2.l.1 $264$ $2$ $2$ $2$ $?$ not computed
264.48.2.m.1 $264$ $2$ $2$ $2$ $?$ not computed
264.48.2.n.1 $264$ $2$ $2$ $2$ $?$ not computed
264.48.2.o.1 $264$ $2$ $2$ $2$ $?$ not computed
264.48.2.p.1 $264$ $2$ $2$ $2$ $?$ not computed
264.48.2.q.1 $264$ $2$ $2$ $2$ $?$ not computed
264.48.2.r.1 $264$ $2$ $2$ $2$ $?$ not computed
264.48.2.s.1 $264$ $2$ $2$ $2$ $?$ not computed
264.48.3.ca.1 $264$ $2$ $2$ $3$ $?$ not computed
264.48.3.cb.1 $264$ $2$ $2$ $3$ $?$ not computed
264.48.3.ce.1 $264$ $2$ $2$ $3$ $?$ not computed
264.48.3.cf.1 $264$ $2$ $2$ $3$ $?$ not computed
264.48.3.ci.1 $264$ $2$ $2$ $3$ $?$ not computed
264.48.3.cj.1 $264$ $2$ $2$ $3$ $?$ not computed
264.48.3.cm.1 $264$ $2$ $2$ $3$ $?$ not computed
264.48.3.cn.1 $264$ $2$ $2$ $3$ $?$ not computed
276.48.1.bq.1 $276$ $2$ $2$ $1$ $?$ dimension zero
276.48.1.br.1 $276$ $2$ $2$ $1$ $?$ dimension zero
276.48.1.bu.1 $276$ $2$ $2$ $1$ $?$ dimension zero
276.48.1.bv.1 $276$ $2$ $2$ $1$ $?$ dimension zero
276.48.2.c.1 $276$ $2$ $2$ $2$ $?$ not computed
276.48.2.d.1 $276$ $2$ $2$ $2$ $?$ not computed
276.48.2.e.1 $276$ $2$ $2$ $2$ $?$ not computed
276.48.2.f.1 $276$ $2$ $2$ $2$ $?$ not computed
312.48.1.bzq.1 $312$ $2$ $2$ $1$ $?$ dimension zero
312.48.1.bzt.1 $312$ $2$ $2$ $1$ $?$ dimension zero
312.48.1.cac.1 $312$ $2$ $2$ $1$ $?$ dimension zero
312.48.1.caf.1 $312$ $2$ $2$ $1$ $?$ dimension zero
312.48.2.n.1 $312$ $2$ $2$ $2$ $?$ not computed
312.48.2.o.1 $312$ $2$ $2$ $2$ $?$ not computed
312.48.2.p.1 $312$ $2$ $2$ $2$ $?$ not computed
312.48.2.q.1 $312$ $2$ $2$ $2$ $?$ not computed
312.48.2.r.1 $312$ $2$ $2$ $2$ $?$ not computed
312.48.2.s.1 $312$ $2$ $2$ $2$ $?$ not computed
312.48.2.t.1 $312$ $2$ $2$ $2$ $?$ not computed
312.48.2.u.1 $312$ $2$ $2$ $2$ $?$ not computed
312.48.2.v.1 $312$ $2$ $2$ $2$ $?$ not computed
312.48.2.w.1 $312$ $2$ $2$ $2$ $?$ not computed
312.48.2.x.1 $312$ $2$ $2$ $2$ $?$ not computed
312.48.2.y.1 $312$ $2$ $2$ $2$ $?$ not computed
312.48.3.ca.1 $312$ $2$ $2$ $3$ $?$ not computed
312.48.3.cb.1 $312$ $2$ $2$ $3$ $?$ not computed
312.48.3.ce.1 $312$ $2$ $2$ $3$ $?$ not computed
312.48.3.cf.1 $312$ $2$ $2$ $3$ $?$ not computed
312.48.3.ci.1 $312$ $2$ $2$ $3$ $?$ not computed
312.48.3.cj.1 $312$ $2$ $2$ $3$ $?$ not computed
312.48.3.cm.1 $312$ $2$ $2$ $3$ $?$ not computed
312.48.3.cn.1 $312$ $2$ $2$ $3$ $?$ not computed