Invariants
| Level: | $12$ | $\SL_2$-level: | $12$ | Newform level: | $48$ | ||
| Index: | $48$ | $\PSL_2$-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: | 12.48.1.30 |
Level structure
| $\GL_2(\Z/12\Z)$-generators: | $\begin{bmatrix}5&8\\0&1\end{bmatrix}$, $\begin{bmatrix}5&9\\0&11\end{bmatrix}$, $\begin{bmatrix}5&10\\0&1\end{bmatrix}$, $\begin{bmatrix}11&7\\6&5\end{bmatrix}$ |
| $\GL_2(\Z/12\Z)$-subgroup: | $D_4\times D_6$ |
| Contains $-I$: | no $\quad$ (see 12.24.1.l.1 for the level structure with $-I$) |
| Cyclic 12-isogeny field degree: | $2$ |
| Cyclic 12-torsion field degree: | $8$ |
| Full 12-torsion field degree: | $96$ |
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 $ |
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 | $j$-height | Weierstrass 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
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 6.24.0-6.a.1.3 | $6$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
| 12.24.0-6.a.1.8 | $12$ | $2$ | $2$ | $0$ | $0$ | 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 |
|---|---|---|---|---|---|---|
| 12.96.1-12.a.1.12 | $12$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 12.96.1-12.h.1.6 | $12$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 12.96.1-12.o.1.4 | $12$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 12.96.1-12.p.1.3 | $12$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 12.96.2-12.c.1.6 | $12$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 12.96.2-12.d.1.3 | $12$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 12.96.2-12.e.1.2 | $12$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 12.96.2-12.f.1.1 | $12$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 12.144.3-12.da.1.3 | $12$ | $3$ | $3$ | $3$ | $0$ | $1^{2}$ |
| 24.96.1-24.cu.1.5 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.96.1-24.et.1.5 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.96.1-24.jg.1.5 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.96.1-24.jj.1.5 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.96.2-24.h.1.9 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.96.2-24.i.1.9 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.96.2-24.j.1.1 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.96.2-24.k.1.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.96.2-24.l.1.23 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.96.2-24.m.1.11 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.96.2-24.n.1.11 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.96.2-24.o.1.5 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.96.2-24.p.1.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.96.2-24.q.1.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.96.2-24.r.1.9 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.96.2-24.s.1.9 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.96.3-24.c.1.9 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.96.3-24.d.1.9 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.96.3-24.bu.1.9 | $24$ | $2$ | $2$ | $3$ | $2$ | $1^{2}$ |
| 24.96.3-24.bv.1.9 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.96.3-24.ck.1.9 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.96.3-24.cl.1.9 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.96.3-24.co.1.9 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.96.3-24.cp.1.9 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 36.144.3-36.x.1.8 | $36$ | $3$ | $3$ | $3$ | $0$ | $1^{2}$ |
| 36.144.5-36.k.1.9 | $36$ | $3$ | $3$ | $5$ | $0$ | $1^{4}$ |
| 36.144.5-36.o.1.11 | $36$ | $3$ | $3$ | $5$ | $1$ | $1^{4}$ |
| 60.96.1-60.bq.1.7 | $60$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 60.96.1-60.br.1.5 | $60$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 60.96.1-60.bu.1.7 | $60$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 60.96.1-60.bv.1.5 | $60$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 60.96.2-60.c.1.1 | $60$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 60.96.2-60.d.1.1 | $60$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 60.96.2-60.e.1.5 | $60$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 60.96.2-60.f.1.3 | $60$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 60.240.9-60.dt.1.1 | $60$ | $5$ | $5$ | $9$ | $2$ | $1^{8}$ |
| 60.288.9-60.fx.1.33 | $60$ | $6$ | $6$ | $9$ | $1$ | $1^{8}$ |
| 60.480.17-60.nh.1.13 | $60$ | $10$ | $10$ | $17$ | $5$ | $1^{16}$ |
| 84.96.1-84.bq.1.2 | $84$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 84.96.1-84.br.1.2 | $84$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 84.96.1-84.bu.1.2 | $84$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 84.96.1-84.bv.1.2 | $84$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 84.96.2-84.l.1.13 | $84$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 84.96.2-84.m.1.9 | $84$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 84.96.2-84.n.1.9 | $84$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 84.96.2-84.o.1.13 | $84$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 84.384.13-84.be.1.1 | $84$ | $8$ | $8$ | $13$ | $?$ | not computed |
| 120.96.1-120.bzq.1.1 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.96.1-120.bzt.1.1 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.96.1-120.cac.1.1 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.96.1-120.caf.1.1 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.96.2-120.j.1.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.96.2-120.k.1.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.96.2-120.l.1.5 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.96.2-120.m.1.9 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.96.2-120.n.1.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.96.2-120.o.1.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.96.2-120.p.1.17 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.96.2-120.q.1.9 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.96.2-120.r.1.9 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.96.2-120.s.1.5 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.96.2-120.t.1.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.96.2-120.u.1.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.96.3-120.co.1.3 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3-120.cp.1.3 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3-120.cs.1.3 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3-120.ct.1.3 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3-120.da.1.3 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3-120.db.1.3 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3-120.de.1.3 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.96.3-120.df.1.3 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 132.96.1-132.bq.1.4 | $132$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 132.96.1-132.br.1.2 | $132$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 132.96.1-132.bu.1.4 | $132$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 132.96.1-132.bv.1.2 | $132$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 132.96.2-132.c.1.9 | $132$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 132.96.2-132.d.1.9 | $132$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 132.96.2-132.e.1.9 | $132$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 132.96.2-132.f.1.9 | $132$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 156.96.1-156.bq.1.2 | $156$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 156.96.1-156.br.1.2 | $156$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 156.96.1-156.bu.1.2 | $156$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 156.96.1-156.bv.1.2 | $156$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 156.96.2-156.g.1.9 | $156$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 156.96.2-156.h.1.1 | $156$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 156.96.2-156.i.1.5 | $156$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 156.96.2-156.j.1.13 | $156$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.96.1-168.bzo.1.2 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.96.1-168.bzr.1.2 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.96.1-168.caa.1.2 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.96.1-168.cad.1.2 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.96.2-168.t.1.59 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.96.2-168.u.1.51 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.96.2-168.v.1.51 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.96.2-168.w.1.59 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.96.2-168.x.1.33 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.96.2-168.y.1.49 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.96.2-168.z.1.57 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.96.2-168.ba.1.49 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.96.2-168.bb.1.59 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.96.2-168.bc.1.51 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.96.2-168.bd.1.51 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.96.2-168.be.1.59 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.96.3-168.ca.1.63 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3-168.cb.1.63 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3-168.ce.1.63 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3-168.cf.1.63 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3-168.ci.1.63 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3-168.cj.1.63 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3-168.cm.1.63 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.96.3-168.cn.1.63 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 204.96.1-204.bq.1.6 | $204$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 204.96.1-204.br.1.5 | $204$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 204.96.1-204.bu.1.6 | $204$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 204.96.1-204.bv.1.5 | $204$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 204.96.2-204.c.1.1 | $204$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 204.96.2-204.d.1.1 | $204$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 204.96.2-204.e.1.9 | $204$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 204.96.2-204.f.1.9 | $204$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 228.96.1-228.bq.1.2 | $228$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 228.96.1-228.br.1.2 | $228$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 228.96.1-228.bu.1.2 | $228$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 228.96.1-228.bv.1.2 | $228$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 228.96.2-228.g.1.13 | $228$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 228.96.2-228.h.1.9 | $228$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 228.96.2-228.i.1.9 | $228$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 228.96.2-228.j.1.13 | $228$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.96.1-264.bzo.1.2 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.96.1-264.bzr.1.2 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.96.1-264.caa.1.2 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.96.1-264.cad.1.2 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.96.2-264.h.1.17 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.96.2-264.i.1.33 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.96.2-264.j.1.33 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.96.2-264.k.1.33 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.96.2-264.l.1.33 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.96.2-264.m.1.33 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.96.2-264.n.1.33 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.96.2-264.o.1.33 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.96.2-264.p.1.33 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.96.2-264.q.1.33 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.96.2-264.r.1.33 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.96.2-264.s.1.17 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.96.3-264.ca.1.41 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3-264.cb.1.41 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3-264.ce.1.41 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3-264.cf.1.41 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3-264.ci.1.41 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3-264.cj.1.41 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3-264.cm.1.41 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.96.3-264.cn.1.41 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 276.96.1-276.bq.1.4 | $276$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 276.96.1-276.br.1.2 | $276$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 276.96.1-276.bu.1.4 | $276$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 276.96.1-276.bv.1.2 | $276$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 276.96.2-276.c.1.9 | $276$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 276.96.2-276.d.1.9 | $276$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 276.96.2-276.e.1.5 | $276$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 276.96.2-276.f.1.3 | $276$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.96.1-312.bzq.1.2 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.96.1-312.bzt.1.2 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.96.1-312.cac.1.2 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.96.1-312.caf.1.2 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.96.2-312.n.1.50 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.96.2-312.o.1.58 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.96.2-312.p.1.58 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.96.2-312.q.1.50 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.96.2-312.r.1.49 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.96.2-312.s.1.33 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.96.2-312.t.1.49 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.96.2-312.u.1.57 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.96.2-312.v.1.50 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.96.2-312.w.1.58 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.96.2-312.x.1.58 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.96.2-312.y.1.50 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.96.3-312.ca.1.55 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3-312.cb.1.54 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3-312.ce.1.55 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3-312.cf.1.54 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3-312.ci.1.54 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3-312.cj.1.56 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3-312.cm.1.54 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.96.3-312.cn.1.56 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |