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Properties

Label 24.48.1.iw.1
Level $24$
Index $48$
Genus $1$
Analytic rank $0$
Cusps $8$
$\Q$-cusps $4$

Related objects

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Invariants

Level: $24$ $\SL_2$-level: $24$ Newform level: $48$
Index: $48$ $\PSL_2$-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 $1^{2}\cdot2\cdot3^{2}\cdot6\cdot8\cdot24$ 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: 24G1
Rouse, Sutherland, and Zureick-Brown (RSZB) label: 24.48.1.67

Level structure

$\GL_2(\Z/24\Z)$-generators: $\begin{bmatrix}1&23\\12&23\end{bmatrix}$, $\begin{bmatrix}7&1\\12&1\end{bmatrix}$, $\begin{bmatrix}13&9\\12&19\end{bmatrix}$, $\begin{bmatrix}13&18\\0&23\end{bmatrix}$, $\begin{bmatrix}17&20\\0&19\end{bmatrix}$, $\begin{bmatrix}23&5\\12&13\end{bmatrix}$
Contains $-I$: yes
Quadratic refinements: 24.96.1-24.iw.1.1, 24.96.1-24.iw.1.2, 24.96.1-24.iw.1.3, 24.96.1-24.iw.1.4, 24.96.1-24.iw.1.5, 24.96.1-24.iw.1.6, 24.96.1-24.iw.1.7, 24.96.1-24.iw.1.8, 24.96.1-24.iw.1.9, 24.96.1-24.iw.1.10, 24.96.1-24.iw.1.11, 24.96.1-24.iw.1.12, 24.96.1-24.iw.1.13, 24.96.1-24.iw.1.14, 24.96.1-24.iw.1.15, 24.96.1-24.iw.1.16, 24.96.1-24.iw.1.17, 24.96.1-24.iw.1.18, 24.96.1-24.iw.1.19, 24.96.1-24.iw.1.20, 24.96.1-24.iw.1.21, 24.96.1-24.iw.1.22, 24.96.1-24.iw.1.23, 24.96.1-24.iw.1.24, 24.96.1-24.iw.1.25, 24.96.1-24.iw.1.26, 24.96.1-24.iw.1.27, 24.96.1-24.iw.1.28, 24.96.1-24.iw.1.29, 24.96.1-24.iw.1.30, 24.96.1-24.iw.1.31, 24.96.1-24.iw.1.32, 48.96.1-24.iw.1.1, 48.96.1-24.iw.1.2, 48.96.1-24.iw.1.3, 48.96.1-24.iw.1.4, 48.96.1-24.iw.1.5, 48.96.1-24.iw.1.6, 48.96.1-24.iw.1.7, 48.96.1-24.iw.1.8, 48.96.1-24.iw.1.9, 48.96.1-24.iw.1.10, 48.96.1-24.iw.1.11, 48.96.1-24.iw.1.12, 48.96.1-24.iw.1.13, 48.96.1-24.iw.1.14, 48.96.1-24.iw.1.15, 48.96.1-24.iw.1.16, 120.96.1-24.iw.1.1, 120.96.1-24.iw.1.2, 120.96.1-24.iw.1.3, 120.96.1-24.iw.1.4, 120.96.1-24.iw.1.5, 120.96.1-24.iw.1.6, 120.96.1-24.iw.1.7, 120.96.1-24.iw.1.8, 120.96.1-24.iw.1.9, 120.96.1-24.iw.1.10, 120.96.1-24.iw.1.11, 120.96.1-24.iw.1.12, 120.96.1-24.iw.1.13, 120.96.1-24.iw.1.14, 120.96.1-24.iw.1.15, 120.96.1-24.iw.1.16, 120.96.1-24.iw.1.17, 120.96.1-24.iw.1.18, 120.96.1-24.iw.1.19, 120.96.1-24.iw.1.20, 120.96.1-24.iw.1.21, 120.96.1-24.iw.1.22, 120.96.1-24.iw.1.23, 120.96.1-24.iw.1.24, 120.96.1-24.iw.1.25, 120.96.1-24.iw.1.26, 120.96.1-24.iw.1.27, 120.96.1-24.iw.1.28, 120.96.1-24.iw.1.29, 120.96.1-24.iw.1.30, 120.96.1-24.iw.1.31, 120.96.1-24.iw.1.32, 168.96.1-24.iw.1.1, 168.96.1-24.iw.1.2, 168.96.1-24.iw.1.3, 168.96.1-24.iw.1.4, 168.96.1-24.iw.1.5, 168.96.1-24.iw.1.6, 168.96.1-24.iw.1.7, 168.96.1-24.iw.1.8, 168.96.1-24.iw.1.9, 168.96.1-24.iw.1.10, 168.96.1-24.iw.1.11, 168.96.1-24.iw.1.12, 168.96.1-24.iw.1.13, 168.96.1-24.iw.1.14, 168.96.1-24.iw.1.15, 168.96.1-24.iw.1.16, 168.96.1-24.iw.1.17, 168.96.1-24.iw.1.18, 168.96.1-24.iw.1.19, 168.96.1-24.iw.1.20, 168.96.1-24.iw.1.21, 168.96.1-24.iw.1.22, 168.96.1-24.iw.1.23, 168.96.1-24.iw.1.24, 168.96.1-24.iw.1.25, 168.96.1-24.iw.1.26, 168.96.1-24.iw.1.27, 168.96.1-24.iw.1.28, 168.96.1-24.iw.1.29, 168.96.1-24.iw.1.30, 168.96.1-24.iw.1.31, 168.96.1-24.iw.1.32, 240.96.1-24.iw.1.1, 240.96.1-24.iw.1.2, 240.96.1-24.iw.1.3, 240.96.1-24.iw.1.4, 240.96.1-24.iw.1.5, 240.96.1-24.iw.1.6, 240.96.1-24.iw.1.7, 240.96.1-24.iw.1.8, 240.96.1-24.iw.1.9, 240.96.1-24.iw.1.10, 240.96.1-24.iw.1.11, 240.96.1-24.iw.1.12, 240.96.1-24.iw.1.13, 240.96.1-24.iw.1.14, 240.96.1-24.iw.1.15, 240.96.1-24.iw.1.16, 264.96.1-24.iw.1.1, 264.96.1-24.iw.1.2, 264.96.1-24.iw.1.3, 264.96.1-24.iw.1.4, 264.96.1-24.iw.1.5, 264.96.1-24.iw.1.6, 264.96.1-24.iw.1.7, 264.96.1-24.iw.1.8, 264.96.1-24.iw.1.9, 264.96.1-24.iw.1.10, 264.96.1-24.iw.1.11, 264.96.1-24.iw.1.12, 264.96.1-24.iw.1.13, 264.96.1-24.iw.1.14, 264.96.1-24.iw.1.15, 264.96.1-24.iw.1.16, 264.96.1-24.iw.1.17, 264.96.1-24.iw.1.18, 264.96.1-24.iw.1.19, 264.96.1-24.iw.1.20, 264.96.1-24.iw.1.21, 264.96.1-24.iw.1.22, 264.96.1-24.iw.1.23, 264.96.1-24.iw.1.24, 264.96.1-24.iw.1.25, 264.96.1-24.iw.1.26, 264.96.1-24.iw.1.27, 264.96.1-24.iw.1.28, 264.96.1-24.iw.1.29, 264.96.1-24.iw.1.30, 264.96.1-24.iw.1.31, 264.96.1-24.iw.1.32, 312.96.1-24.iw.1.1, 312.96.1-24.iw.1.2, 312.96.1-24.iw.1.3, 312.96.1-24.iw.1.4, 312.96.1-24.iw.1.5, 312.96.1-24.iw.1.6, 312.96.1-24.iw.1.7, 312.96.1-24.iw.1.8, 312.96.1-24.iw.1.9, 312.96.1-24.iw.1.10, 312.96.1-24.iw.1.11, 312.96.1-24.iw.1.12, 312.96.1-24.iw.1.13, 312.96.1-24.iw.1.14, 312.96.1-24.iw.1.15, 312.96.1-24.iw.1.16, 312.96.1-24.iw.1.17, 312.96.1-24.iw.1.18, 312.96.1-24.iw.1.19, 312.96.1-24.iw.1.20, 312.96.1-24.iw.1.21, 312.96.1-24.iw.1.22, 312.96.1-24.iw.1.23, 312.96.1-24.iw.1.24, 312.96.1-24.iw.1.25, 312.96.1-24.iw.1.26, 312.96.1-24.iw.1.27, 312.96.1-24.iw.1.28, 312.96.1-24.iw.1.29, 312.96.1-24.iw.1.30, 312.96.1-24.iw.1.31, 312.96.1-24.iw.1.32
Cyclic 24-isogeny field degree: $2$
Cyclic 24-torsion field degree: $16$
Full 24-torsion field degree: $1536$

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 $
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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
$(0:1:0)$, $(2:0:1)$, $(-1:0:1)$, $(-2:0:1)$

Maps to other modular curves

$j$-invariant map of degree 48 from the Weierstrass model of this modular curve to the modular curve $X(1)$ :

$\displaystyle j$ $=$ $\displaystyle \frac{16x^{2}y^{14}+2370x^{2}y^{12}z^{2}+59832x^{2}y^{10}z^{4}+549005x^{2}y^{8}z^{6}+2026840x^{2}y^{6}z^{8}+2580489x^{2}y^{4}z^{10}+1343380x^{2}y^{2}z^{12}+249613x^{2}z^{14}+132xy^{14}z+10500xy^{12}z^{3}+217935xy^{10}z^{5}+1805892xy^{8}z^{7}+6289424xy^{6}z^{9}+7852086xy^{4}z^{11}+4055121xy^{2}z^{13}+745472xz^{15}+y^{16}+620y^{14}z^{2}+24270y^{12}z^{4}+324077y^{10}z^{6}+1909371y^{8}z^{8}+5110392y^{6}z^{10}+5717899y^{4}z^{12}+2793823y^{2}z^{14}+496588z^{16}}{z^{8}y^{2}(8x^{2}y^{4}+288x^{2}y^{2}z^{2}+1728x^{2}z^{4}+40xy^{4}z+1008xy^{2}z^{3}+5184xz^{5}+y^{6}+112y^{4}z^{2}+1296y^{2}z^{4}+3456z^{6})}$

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
$X_0(3)$ $3$ $12$ $12$ $0$ $0$ full Jacobian
8.12.0.o.1 $8$ $4$ $4$ $0$ $0$ full Jacobian

This modular curve minimally covers the modular curves listed below.

Covered curve Level Index Degree Genus Rank Kernel decomposition
8.12.0.o.1 $8$ $4$ $4$ $0$ $0$ full Jacobian
$X_0(12)$ $12$ $2$ $2$ $0$ $0$ 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
24.96.1.dp.1 $24$ $2$ $2$ $1$ $0$ dimension zero
24.96.1.dp.2 $24$ $2$ $2$ $1$ $0$ dimension zero
24.96.1.dp.3 $24$ $2$ $2$ $1$ $0$ dimension zero
24.96.1.dp.4 $24$ $2$ $2$ $1$ $0$ dimension zero
24.96.1.dr.1 $24$ $2$ $2$ $1$ $0$ dimension zero
24.96.1.dr.2 $24$ $2$ $2$ $1$ $0$ dimension zero
24.96.1.dr.3 $24$ $2$ $2$ $1$ $0$ dimension zero
24.96.1.dr.4 $24$ $2$ $2$ $1$ $0$ dimension zero
24.96.3.cl.1 $24$ $2$ $2$ $3$ $0$ $1^{2}$
24.96.3.co.1 $24$ $2$ $2$ $3$ $0$ $1^{2}$
24.96.3.eq.1 $24$ $2$ $2$ $3$ $0$ $1^{2}$
24.96.3.es.1 $24$ $2$ $2$ $3$ $0$ $1^{2}$
24.96.3.fs.1 $24$ $2$ $2$ $3$ $0$ $1^{2}$
24.96.3.fu.1 $24$ $2$ $2$ $3$ $2$ $1^{2}$
24.96.3.ga.1 $24$ $2$ $2$ $3$ $0$ $1^{2}$
24.96.3.gc.1 $24$ $2$ $2$ $3$ $0$ $1^{2}$
24.96.3.gw.1 $24$ $2$ $2$ $3$ $0$ $2$
24.96.3.gw.2 $24$ $2$ $2$ $3$ $0$ $2$
24.96.3.gw.3 $24$ $2$ $2$ $3$ $0$ $2$
24.96.3.gw.4 $24$ $2$ $2$ $3$ $0$ $2$
24.96.3.gy.1 $24$ $2$ $2$ $3$ $0$ $2$
24.96.3.gy.2 $24$ $2$ $2$ $3$ $0$ $2$
24.96.3.gy.3 $24$ $2$ $2$ $3$ $0$ $2$
24.96.3.gy.4 $24$ $2$ $2$ $3$ $0$ $2$
24.144.5.fc.1 $24$ $3$ $3$ $5$ $0$ $1^{4}$
48.96.3.px.1 $48$ $2$ $2$ $3$ $0$ $2$
48.96.3.px.2 $48$ $2$ $2$ $3$ $0$ $2$
48.96.3.py.1 $48$ $2$ $2$ $3$ $0$ $2$
48.96.3.py.2 $48$ $2$ $2$ $3$ $0$ $2$
48.96.3.qh.1 $48$ $2$ $2$ $3$ $0$ $1^{2}$
48.96.3.qi.1 $48$ $2$ $2$ $3$ $1$ $1^{2}$
48.96.3.ql.1 $48$ $2$ $2$ $3$ $0$ $1^{2}$
48.96.3.qm.1 $48$ $2$ $2$ $3$ $0$ $1^{2}$
48.96.5.mj.1 $48$ $2$ $2$ $5$ $1$ $1^{4}$
48.96.5.mk.1 $48$ $2$ $2$ $5$ $0$ $1^{4}$
48.96.5.or.1 $48$ $2$ $2$ $5$ $2$ $1^{4}$
48.96.5.os.1 $48$ $2$ $2$ $5$ $1$ $1^{4}$
48.96.5.ov.1 $48$ $2$ $2$ $5$ $0$ $4$
48.96.5.ov.2 $48$ $2$ $2$ $5$ $0$ $4$
48.96.5.ow.1 $48$ $2$ $2$ $5$ $0$ $4$
48.96.5.ow.2 $48$ $2$ $2$ $5$ $0$ $4$
72.144.5.bq.1 $72$ $3$ $3$ $5$ $?$ not computed
72.144.9.de.1 $72$ $3$ $3$ $9$ $?$ not computed
72.144.9.dm.1 $72$ $3$ $3$ $9$ $?$ not computed
120.96.1.tf.1 $120$ $2$ $2$ $1$ $?$ dimension zero
120.96.1.tf.2 $120$ $2$ $2$ $1$ $?$ dimension zero
120.96.1.tf.3 $120$ $2$ $2$ $1$ $?$ dimension zero
120.96.1.tf.4 $120$ $2$ $2$ $1$ $?$ dimension zero
120.96.1.th.1 $120$ $2$ $2$ $1$ $?$ dimension zero
120.96.1.th.2 $120$ $2$ $2$ $1$ $?$ dimension zero
120.96.1.th.3 $120$ $2$ $2$ $1$ $?$ dimension zero
120.96.1.th.4 $120$ $2$ $2$ $1$ $?$ dimension zero
120.96.3.ow.1 $120$ $2$ $2$ $3$ $?$ not computed
120.96.3.oy.1 $120$ $2$ $2$ $3$ $?$ not computed
120.96.3.pe.1 $120$ $2$ $2$ $3$ $?$ not computed
120.96.3.pg.1 $120$ $2$ $2$ $3$ $?$ not computed
120.96.3.qc.1 $120$ $2$ $2$ $3$ $?$ not computed
120.96.3.qe.1 $120$ $2$ $2$ $3$ $?$ not computed
120.96.3.qk.1 $120$ $2$ $2$ $3$ $?$ not computed
120.96.3.qm.1 $120$ $2$ $2$ $3$ $?$ not computed
120.96.3.tc.1 $120$ $2$ $2$ $3$ $?$ not computed
120.96.3.tc.2 $120$ $2$ $2$ $3$ $?$ not computed
120.96.3.tc.3 $120$ $2$ $2$ $3$ $?$ not computed
120.96.3.tc.4 $120$ $2$ $2$ $3$ $?$ not computed
120.96.3.te.1 $120$ $2$ $2$ $3$ $?$ not computed
120.96.3.te.2 $120$ $2$ $2$ $3$ $?$ not computed
120.96.3.te.3 $120$ $2$ $2$ $3$ $?$ not computed
120.96.3.te.4 $120$ $2$ $2$ $3$ $?$ not computed
120.240.17.bro.1 $120$ $5$ $5$ $17$ $?$ not computed
120.288.17.bkha.1 $120$ $6$ $6$ $17$ $?$ not computed
168.96.1.td.1 $168$ $2$ $2$ $1$ $?$ dimension zero
168.96.1.td.2 $168$ $2$ $2$ $1$ $?$ dimension zero
168.96.1.td.3 $168$ $2$ $2$ $1$ $?$ dimension zero
168.96.1.td.4 $168$ $2$ $2$ $1$ $?$ dimension zero
168.96.1.tf.1 $168$ $2$ $2$ $1$ $?$ dimension zero
168.96.1.tf.2 $168$ $2$ $2$ $1$ $?$ dimension zero
168.96.1.tf.3 $168$ $2$ $2$ $1$ $?$ dimension zero
168.96.1.tf.4 $168$ $2$ $2$ $1$ $?$ dimension zero
168.96.3.mi.1 $168$ $2$ $2$ $3$ $?$ not computed
168.96.3.mk.1 $168$ $2$ $2$ $3$ $?$ not computed
168.96.3.mq.1 $168$ $2$ $2$ $3$ $?$ not computed
168.96.3.ms.1 $168$ $2$ $2$ $3$ $?$ not computed
168.96.3.no.1 $168$ $2$ $2$ $3$ $?$ not computed
168.96.3.nq.1 $168$ $2$ $2$ $3$ $?$ not computed
168.96.3.nw.1 $168$ $2$ $2$ $3$ $?$ not computed
168.96.3.ny.1 $168$ $2$ $2$ $3$ $?$ not computed
168.96.3.qo.1 $168$ $2$ $2$ $3$ $?$ not computed
168.96.3.qo.2 $168$ $2$ $2$ $3$ $?$ not computed
168.96.3.qo.3 $168$ $2$ $2$ $3$ $?$ not computed
168.96.3.qo.4 $168$ $2$ $2$ $3$ $?$ not computed
168.96.3.qq.1 $168$ $2$ $2$ $3$ $?$ not computed
168.96.3.qq.2 $168$ $2$ $2$ $3$ $?$ not computed
168.96.3.qq.3 $168$ $2$ $2$ $3$ $?$ not computed
168.96.3.qq.4 $168$ $2$ $2$ $3$ $?$ not computed
240.96.3.chj.1 $240$ $2$ $2$ $3$ $?$ not computed
240.96.3.chj.2 $240$ $2$ $2$ $3$ $?$ not computed
240.96.3.chk.1 $240$ $2$ $2$ $3$ $?$ not computed
240.96.3.chk.2 $240$ $2$ $2$ $3$ $?$ not computed
240.96.3.cht.1 $240$ $2$ $2$ $3$ $?$ not computed
240.96.3.chu.1 $240$ $2$ $2$ $3$ $?$ not computed
240.96.3.chx.1 $240$ $2$ $2$ $3$ $?$ not computed
240.96.3.chy.1 $240$ $2$ $2$ $3$ $?$ not computed
240.96.5.bvx.1 $240$ $2$ $2$ $5$ $?$ not computed
240.96.5.bvy.1 $240$ $2$ $2$ $5$ $?$ not computed
240.96.5.bwb.1 $240$ $2$ $2$ $5$ $?$ not computed
240.96.5.bwc.1 $240$ $2$ $2$ $5$ $?$ not computed
240.96.5.bwf.1 $240$ $2$ $2$ $5$ $?$ not computed
240.96.5.bwf.2 $240$ $2$ $2$ $5$ $?$ not computed
240.96.5.bwg.1 $240$ $2$ $2$ $5$ $?$ not computed
240.96.5.bwg.2 $240$ $2$ $2$ $5$ $?$ not computed
264.96.1.td.1 $264$ $2$ $2$ $1$ $?$ dimension zero
264.96.1.td.2 $264$ $2$ $2$ $1$ $?$ dimension zero
264.96.1.td.3 $264$ $2$ $2$ $1$ $?$ dimension zero
264.96.1.td.4 $264$ $2$ $2$ $1$ $?$ dimension zero
264.96.1.tf.1 $264$ $2$ $2$ $1$ $?$ dimension zero
264.96.1.tf.2 $264$ $2$ $2$ $1$ $?$ dimension zero
264.96.1.tf.3 $264$ $2$ $2$ $1$ $?$ dimension zero
264.96.1.tf.4 $264$ $2$ $2$ $1$ $?$ dimension zero
264.96.3.mi.1 $264$ $2$ $2$ $3$ $?$ not computed
264.96.3.mk.1 $264$ $2$ $2$ $3$ $?$ not computed
264.96.3.mq.1 $264$ $2$ $2$ $3$ $?$ not computed
264.96.3.ms.1 $264$ $2$ $2$ $3$ $?$ not computed
264.96.3.no.1 $264$ $2$ $2$ $3$ $?$ not computed
264.96.3.nq.1 $264$ $2$ $2$ $3$ $?$ not computed
264.96.3.nw.1 $264$ $2$ $2$ $3$ $?$ not computed
264.96.3.ny.1 $264$ $2$ $2$ $3$ $?$ not computed
264.96.3.qo.1 $264$ $2$ $2$ $3$ $?$ not computed
264.96.3.qo.2 $264$ $2$ $2$ $3$ $?$ not computed
264.96.3.qo.3 $264$ $2$ $2$ $3$ $?$ not computed
264.96.3.qo.4 $264$ $2$ $2$ $3$ $?$ not computed
264.96.3.qq.1 $264$ $2$ $2$ $3$ $?$ not computed
264.96.3.qq.2 $264$ $2$ $2$ $3$ $?$ not computed
264.96.3.qq.3 $264$ $2$ $2$ $3$ $?$ not computed
264.96.3.qq.4 $264$ $2$ $2$ $3$ $?$ not computed
312.96.1.tf.1 $312$ $2$ $2$ $1$ $?$ dimension zero
312.96.1.tf.2 $312$ $2$ $2$ $1$ $?$ dimension zero
312.96.1.tf.3 $312$ $2$ $2$ $1$ $?$ dimension zero
312.96.1.tf.4 $312$ $2$ $2$ $1$ $?$ dimension zero
312.96.1.th.1 $312$ $2$ $2$ $1$ $?$ dimension zero
312.96.1.th.2 $312$ $2$ $2$ $1$ $?$ dimension zero
312.96.1.th.3 $312$ $2$ $2$ $1$ $?$ dimension zero
312.96.1.th.4 $312$ $2$ $2$ $1$ $?$ dimension zero
312.96.3.ow.1 $312$ $2$ $2$ $3$ $?$ not computed
312.96.3.oy.1 $312$ $2$ $2$ $3$ $?$ not computed
312.96.3.pe.1 $312$ $2$ $2$ $3$ $?$ not computed
312.96.3.pg.1 $312$ $2$ $2$ $3$ $?$ not computed
312.96.3.qc.1 $312$ $2$ $2$ $3$ $?$ not computed
312.96.3.qe.1 $312$ $2$ $2$ $3$ $?$ not computed
312.96.3.qk.1 $312$ $2$ $2$ $3$ $?$ not computed
312.96.3.qm.1 $312$ $2$ $2$ $3$ $?$ not computed
312.96.3.tc.1 $312$ $2$ $2$ $3$ $?$ not computed
312.96.3.tc.2 $312$ $2$ $2$ $3$ $?$ not computed
312.96.3.tc.3 $312$ $2$ $2$ $3$ $?$ not computed
312.96.3.tc.4 $312$ $2$ $2$ $3$ $?$ not computed
312.96.3.te.1 $312$ $2$ $2$ $3$ $?$ not computed
312.96.3.te.2 $312$ $2$ $2$ $3$ $?$ not computed
312.96.3.te.3 $312$ $2$ $2$ $3$ $?$ not computed
312.96.3.te.4 $312$ $2$ $2$ $3$ $?$ not computed