Invariants
Level: | $42$ | $\SL_2$-level: | $42$ | Newform level: | $42$ | ||
Index: | $192$ | $\PSL_2$-index: | $96$ | ||||
Genus: | $5 = 1 + \frac{ 96 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 8 }{2}$ | ||||||
Cusps: | $8$ (all of which are rational) | Cusp widths | $1\cdot2\cdot3\cdot6\cdot7\cdot14\cdot21\cdot42$ | Cusp orbits | $1^{8}$ | ||
Elliptic points: | $0$ of order $2$ and $0$ of order $3$ | ||||||
Analytic rank: | $0$ | ||||||
$\Q$-gonality: | $3 \le \gamma \le 5$ | ||||||
$\overline{\Q}$-gonality: | $3 \le \gamma \le 5$ | ||||||
Rational cusps: | $8$ | ||||||
Rational CM points: | none |
Other labels
Cummins and Pauli (CP) label: | 42G5 |
Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 42.192.5.5 |
Level structure
$\GL_2(\Z/42\Z)$-generators: | $\begin{bmatrix}5&18\\0&1\end{bmatrix}$, $\begin{bmatrix}13&38\\0&19\end{bmatrix}$, $\begin{bmatrix}23&32\\0&1\end{bmatrix}$, $\begin{bmatrix}23&37\\0&41\end{bmatrix}$ |
Contains $-I$: | no $\quad$ (see 42.96.5.a.1 for the level structure with $-I$) |
Cyclic 42-isogeny field degree: | $1$ |
Cyclic 42-torsion field degree: | $12$ |
Full 42-torsion field degree: | $3024$ |
Jacobian
Conductor: | $2^{3}\cdot3^{3}\cdot7^{5}$ |
Simple: | no |
Squarefree: | no |
Decomposition: | $1^{5}$ |
Newforms: | 14.2.a.a$^{2}$, 21.2.a.a$^{2}$, 42.2.a.a |
Models
Canonical model in $\mathbb{P}^{ 4 }$ defined by 3 equations
$ 0 $ | $=$ | $ x^{2} - x w + x t + y t $ |
$=$ | $x^{2} + x z + 2 x w + y t - z^{2} - 2 z w - w^{2}$ | |
$=$ | $x^{2} + y^{2} + 2 y z + 2 y w - y t + z^{2} + 2 z w - z t$ |
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.
Canonical model |
---|
$(0:0:-1:1:1)$, $(1/3:-1/6:-1/6:5/6:1)$, $(0:1:-1:1:0)$, $(1:-2:1:1:0)$, $(-1/3:1/6:1/6:1/6:1)$, $(1:1:-2:1:0)$, $(0:-1:-1:1:0)$, $(0:0:0:0:1)$ |
Maps to other modular curves
$j$-invariant map of degree 96 from the canonical model of this modular curve to the modular curve $X(1)$ :
$\displaystyle j$ | $=$ | $\displaystyle \frac{-1101204000yz^{2}w^{9}+769937616xyw^{10}-2473473600yzw^{10}-2076263568z^{2}w^{10}+1805178224xw^{11}-1312033824yw^{11}-4363352352zw^{11}-2226851984w^{12}+3375732240yz^{2}w^{8}t-7481495504xyw^{9}t+5059358928yzw^{9}t-2224674576z^{2}w^{9}t+637202672xw^{10}t+4332162928yw^{10}t-2866362624zw^{10}t+1573843584w^{11}t+40513615200yz^{2}w^{7}t^{2}-41986389168xyw^{8}t^{2}+90289768464yzw^{8}t^{2}+71611914960z^{2}w^{8}t^{2}-66658243360xw^{9}t^{2}+50922213632yw^{9}t^{2}+141552055152zw^{9}t^{2}+64696335456w^{10}t^{2}-84131529840yz^{2}w^{6}t^{3}+94680843888xyw^{7}t^{3}-184954443408yzw^{7}t^{3}-102846908976z^{2}w^{7}t^{3}+139134320784xw^{8}t^{3}-179961485232yw^{8}t^{3}-229062506496zw^{8}t^{3}-149322391280w^{9}t^{3}-65404144400yz^{2}w^{5}t^{4}-64657507936xyw^{6}t^{4}-275538610864yzw^{6}t^{4}-404471962768z^{2}w^{6}t^{4}+283872442144xw^{7}t^{4}-138716908928yw^{7}t^{4}-728395806992zw^{7}t^{4}-189564572464w^{8}t^{4}+349910930960yz^{2}w^{4}t^{5}-230210553200xyw^{5}t^{5}+1098616893328yzw^{5}t^{5}+1042142507552z^{2}w^{5}t^{5}-1124585022912xw^{6}t^{5}+1174192396032yw^{6}t^{5}+2060241092688zw^{6}t^{5}+863050363056w^{7}t^{5}-306811384560yz^{2}w^{3}t^{6}+444699730512xyw^{4}t^{6}-930701159904yzw^{4}t^{6}-704274317872z^{2}w^{4}t^{6}+1204755984192xw^{5}t^{6}-1482336677680yw^{5}t^{6}-1486108944816zw^{5}t^{6}-876855455296w^{6}t^{6}+55178056000yz^{2}w^{2}t^{7}-290351294784xyw^{3}t^{7}-66344877376yzw^{3}t^{7}-226399477392z^{2}w^{3}t^{7}-342853547984xw^{4}t^{7}+344197675120yw^{4}t^{7}-410738278480zw^{4}t^{7}+177772535440w^{5}t^{7}+32079604400yz^{2}wt^{8}+86979125168xyw^{2}t^{8}+419469380720yzw^{2}t^{8}+490794373216z^{2}w^{2}t^{8}-285842029152xw^{3}t^{8}+606409820608yw^{3}t^{8}+1057266016096zw^{3}t^{8}+221840899680w^{4}t^{8}-10173090480yz^{2}t^{9}-10629427568xywt^{9}-178987210096yzwt^{9}-208058806640z^{2}wt^{9}+265598679184xw^{2}t^{9}-498748197968yw^{2}t^{9}-495548508720zw^{2}t^{9}-135234251696w^{3}t^{9}-126594064xyt^{10}+21875600944yzt^{10}+27703743328z^{2}t^{10}-83137846432xwt^{10}+140392458576ywt^{10}+78803719088zwt^{10}+21413254944w^{2}t^{10}+9492339776xt^{11}-13658082080yt^{11}-1737168448zt^{11}-240wt^{11}+16t^{12}}{-4448yz^{2}w^{8}t+17536xyw^{9}t-8768yzw^{9}t+3152z^{2}w^{9}t-12352xw^{10}t-4320yw^{10}t+6176zw^{10}t+3024w^{11}t+59552yz^{2}w^{7}t^{2}-246848xyw^{8}t^{2}+129072yzw^{8}t^{2}-55600z^{2}w^{8}t^{2}+247232xw^{9}t^{2}+74672yw^{9}t^{2}-103616zw^{9}t^{2}-55504w^{10}t^{2}-132640yz^{2}w^{6}t^{3}+627936xyw^{7}t^{3}-386464yzw^{7}t^{3}+268176z^{2}w^{7}t^{3}-1524176xw^{8}t^{3}-375024yw^{8}t^{3}+459440zw^{8}t^{3}+288992w^{9}t^{3}-799216yz^{2}w^{5}t^{4}+3643248xyw^{6}t^{4}-1642000yzw^{6}t^{4}+5936z^{2}w^{6}t^{4}+1846592xw^{7}t^{4}-19280yw^{7}t^{4}+182112zw^{7}t^{4}-8896w^{8}t^{4}+2680744yz^{2}w^{4}t^{5}-15969488xyw^{5}t^{5}+8393512yzw^{5}t^{5}-2555496z^{2}w^{5}t^{5}+11289696xw^{6}t^{5}+4655040yw^{6}t^{5}-4204664zw^{6}t^{5}-3263024w^{7}t^{5}-509900yz^{2}w^{3}t^{6}+9835120xyw^{4}t^{6}-4802860yzw^{4}t^{6}+5910668z^{2}w^{4}t^{6}-33941088xw^{5}t^{6}-10263984yw^{5}t^{6}+6877964zw^{5}t^{6}+6473072w^{6}t^{6}-618744yz^{2}w^{2}t^{7}+9024300xyw^{3}t^{7}-11762024yzw^{3}t^{7}-10781672z^{2}w^{3}t^{7}+29636740xw^{4}t^{7}+2007608yw^{4}t^{7}-13971664zw^{4}t^{7}-4031968w^{5}t^{7}-1133694yz^{2}wt^{8}-1489758xyw^{2}t^{8}+12120974yzw^{2}t^{8}+14161908z^{2}w^{2}t^{8}-10137902xw^{3}t^{8}+17107190yw^{3}t^{8}+27609696zw^{3}t^{8}+3293846w^{4}t^{8}+559595yz^{2}t^{9}-3110813xywt^{9}-6953923yzwt^{9}-9022495z^{2}wt^{9}+1087587xw^{2}t^{9}-22679769yw^{2}t^{9}-22311507zw^{2}t^{9}-2425095w^{3}t^{9}+745595xyt^{10}+2100788yzt^{10}+2217743z^{2}t^{10}-518593xwt^{10}+9341088ywt^{10}+7258392zwt^{10}+673864w^{2}t^{10}+176194xt^{11}-1199368yt^{11}-701698zt^{11}}$ |
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 |
---|---|---|---|---|---|---|
6.24.0-6.a.1.3 | $6$ | $8$ | $8$ | $0$ | $0$ | full Jacobian |
$X_0(7)$ | $7$ | $24$ | $12$ | $0$ | $0$ | full Jacobian |
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 | $6$ | $8$ | $8$ | $0$ | $0$ | full Jacobian |
42.64.1-21.a.1.5 | $42$ | $3$ | $3$ | $1$ | $0$ | $1^{4}$ |
This modular curve is minimally covered by the modular curves in the database listed below.
Covering curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
---|---|---|---|---|---|---|
42.384.9-42.c.1.1 | $42$ | $2$ | $2$ | $9$ | $0$ | $4$ |
42.384.9-42.c.2.1 | $42$ | $2$ | $2$ | $9$ | $0$ | $4$ |
42.384.9-42.c.3.2 | $42$ | $2$ | $2$ | $9$ | $0$ | $4$ |
42.384.9-42.c.4.2 | $42$ | $2$ | $2$ | $9$ | $0$ | $4$ |
42.384.11-42.a.1.7 | $42$ | $2$ | $2$ | $11$ | $0$ | $1^{6}$ |
42.384.11-42.g.1.5 | $42$ | $2$ | $2$ | $11$ | $1$ | $1^{6}$ |
42.384.11-42.k.1.6 | $42$ | $2$ | $2$ | $11$ | $1$ | $1^{6}$ |
42.384.11-42.l.1.5 | $42$ | $2$ | $2$ | $11$ | $2$ | $1^{6}$ |
42.384.11-42.o.1.1 | $42$ | $2$ | $2$ | $11$ | $0$ | $2\cdot4$ |
42.384.11-42.o.2.1 | $42$ | $2$ | $2$ | $11$ | $0$ | $2\cdot4$ |
42.384.11-42.o.3.2 | $42$ | $2$ | $2$ | $11$ | $0$ | $2\cdot4$ |
42.384.11-42.o.4.2 | $42$ | $2$ | $2$ | $11$ | $0$ | $2\cdot4$ |
42.576.13-42.a.1.12 | $42$ | $3$ | $3$ | $13$ | $0$ | $2^{4}$ |
42.576.13-42.a.2.10 | $42$ | $3$ | $3$ | $13$ | $0$ | $2^{4}$ |
42.576.13-42.b.1.1 | $42$ | $3$ | $3$ | $13$ | $0$ | $1^{8}$ |
42.576.17-42.a.1.8 | $42$ | $3$ | $3$ | $17$ | $0$ | $1^{8}\cdot2^{2}$ |
42.1344.41-42.a.1.8 | $42$ | $7$ | $7$ | $41$ | $5$ | $1^{24}\cdot2^{6}$ |
84.384.9-84.s.1.2 | $84$ | $2$ | $2$ | $9$ | $?$ | not computed |
84.384.9-84.s.2.4 | $84$ | $2$ | $2$ | $9$ | $?$ | not computed |
84.384.9-84.s.3.4 | $84$ | $2$ | $2$ | $9$ | $?$ | not computed |
84.384.9-84.s.4.8 | $84$ | $2$ | $2$ | $9$ | $?$ | not computed |
84.384.11-84.z.1.2 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.bl.1.1 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.bm.1.1 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.bv.1.1 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.bw.1.1 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.bx.1.1 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.ci.1.1 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cj.1.1 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.ck.1.1 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cl.1.1 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cm.1.1 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cn.1.1 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cq.1.4 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cq.2.2 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cq.3.8 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cq.4.4 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cr.1.2 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cr.2.1 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cr.3.4 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cr.4.2 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cs.1.1 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cs.2.2 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cs.3.2 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.11-84.cs.4.4 | $84$ | $2$ | $2$ | $11$ | $?$ | not computed |
84.384.13-84.v.1.2 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
84.384.13-84.v.2.1 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
84.384.13-84.v.3.4 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
84.384.13-84.v.4.2 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
84.384.13-84.w.1.1 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
84.384.13-84.w.2.2 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
84.384.13-84.w.3.2 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
84.384.13-84.w.4.4 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
84.384.13-84.x.1.1 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
84.384.13-84.y.1.1 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
84.384.13-84.z.1.1 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
84.384.13-84.ba.1.1 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
84.384.13-84.bb.1.1 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
84.384.13-84.bc.1.1 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
84.384.13-84.bd.1.1 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
84.384.13-84.be.1.1 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.9-168.drs.1.2 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
168.384.9-168.drs.2.8 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
168.384.9-168.drs.3.4 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
168.384.9-168.drs.4.16 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
168.384.9-168.drt.1.4 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
168.384.9-168.drt.2.4 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
168.384.9-168.drt.3.8 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
168.384.9-168.drt.4.8 | $168$ | $2$ | $2$ | $9$ | $?$ | not computed |
168.384.11-168.dn.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.eo.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.jc.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.jd.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.pk.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.pl.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.pm.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.pn.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.rw.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.rx.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.ry.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.rz.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sa.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sb.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sc.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sd.1.1 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.si.1.4 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.si.2.4 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.si.3.8 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.si.4.8 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sj.1.2 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sj.2.8 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sj.3.4 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sj.4.16 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sk.1.4 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sk.2.4 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sk.3.12 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sk.4.12 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sl.1.2 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sl.2.8 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sl.3.6 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.11-168.sl.4.24 | $168$ | $2$ | $2$ | $11$ | $?$ | not computed |
168.384.13-168.ow.1.2 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.13-168.ow.2.8 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.13-168.ow.3.6 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.13-168.ow.4.24 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.13-168.ox.1.4 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.13-168.ox.2.4 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.13-168.ox.3.12 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.13-168.ox.4.12 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.13-168.oy.1.1 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.13-168.oz.1.1 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.13-168.pa.1.1 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.13-168.pb.1.1 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.13-168.pc.1.1 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.13-168.pd.1.1 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.13-168.pe.1.1 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
168.384.13-168.pf.1.1 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
210.384.9-210.y.1.2 | $210$ | $2$ | $2$ | $9$ | $?$ | not computed |
210.384.9-210.y.2.2 | $210$ | $2$ | $2$ | $9$ | $?$ | not computed |
210.384.9-210.y.3.4 | $210$ | $2$ | $2$ | $9$ | $?$ | not computed |
210.384.9-210.y.4.4 | $210$ | $2$ | $2$ | $9$ | $?$ | not computed |
210.384.11-210.e.1.14 | $210$ | $2$ | $2$ | $11$ | $?$ | not computed |
210.384.11-210.f.1.9 | $210$ | $2$ | $2$ | $11$ | $?$ | not computed |
210.384.11-210.i.1.11 | $210$ | $2$ | $2$ | $11$ | $?$ | not computed |
210.384.11-210.j.1.9 | $210$ | $2$ | $2$ | $11$ | $?$ | not computed |
210.384.11-210.m.1.4 | $210$ | $2$ | $2$ | $11$ | $?$ | not computed |
210.384.11-210.m.2.4 | $210$ | $2$ | $2$ | $11$ | $?$ | not computed |
210.384.11-210.m.3.2 | $210$ | $2$ | $2$ | $11$ | $?$ | not computed |
210.384.11-210.m.4.2 | $210$ | $2$ | $2$ | $11$ | $?$ | not computed |