Invariants
| Level: | $48$ | $\SL_2$-level: | $48$ | Newform level: | $24$ | ||
| Index: | $192$ | $\PSL_2$-index: | $96$ | ||||
| Genus: | $3 = 1 + \frac{ 96 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 12 }{2}$ | ||||||
| Cusps: | $12$ (of which $8$ are rational) | Cusp widths | $1^{2}\cdot2\cdot3^{2}\cdot4\cdot6\cdot8^{2}\cdot12\cdot24^{2}$ | Cusp orbits | $1^{8}\cdot2^{2}$ | ||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ | ||||||
| Analytic rank: | $0$ | ||||||
| $\Q$-gonality: | $2 \le \gamma \le 3$ | ||||||
| $\overline{\Q}$-gonality: | $2 \le \gamma \le 3$ | ||||||
| Rational cusps: | $8$ | ||||||
| Rational CM points: | none |
Other labels
| Cummins and Pauli (CP) label: | 24Y3 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 48.192.3.615 |
Level structure
| $\GL_2(\Z/48\Z)$-generators: | $\begin{bmatrix}1&32\\0&41\end{bmatrix}$, $\begin{bmatrix}7&14\\36&29\end{bmatrix}$, $\begin{bmatrix}19&38\\12&29\end{bmatrix}$, $\begin{bmatrix}35&32\\12&1\end{bmatrix}$, $\begin{bmatrix}47&13\\24&13\end{bmatrix}$, $\begin{bmatrix}47&33\\36&7\end{bmatrix}$ |
| Contains $-I$: | no $\quad$ (see 24.96.3.gi.2 for the level structure with $-I$) |
| Cyclic 48-isogeny field degree: | $2$ |
| Cyclic 48-torsion field degree: | $16$ |
| Full 48-torsion field degree: | $6144$ |
Jacobian
| Conductor: | $2^{9}\cdot3^{3}$ |
| Simple: | no |
| Squarefree: | yes |
| Decomposition: | $1\cdot2$ |
| Newforms: | 24.2.a.a, 24.2.d.a |
Models
Canonical model in $\mathbb{P}^{ 2 }$
| $ 0 $ | $=$ | $ x^{3} y + x^{3} z - 2 x^{2} y^{2} + x^{2} y z + x^{2} z^{2} + x y^{3} - 3 x y^{2} z + y^{2} z^{2} - y z^{3} $ |
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 |
|---|
| $(0:1:1)$, $(1:1:1)$, $(0:1:0)$, $(-1:0:1)$, $(-1:1:1)$, $(1:0:0)$, $(0:0:1)$, $(1:1:0)$ |
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{2985984x^{24}+71663616x^{23}z+716636160x^{22}z^{2}+3893723136x^{21}z^{3}+12738207744x^{20}z^{4}+26873856000x^{19}z^{5}+41039364096x^{18}z^{6}+65715535872x^{17}z^{7}+133984088064x^{16}z^{8}+205770129408x^{15}z^{9}+296114061312x^{14}z^{10}+118818275328x^{13}z^{11}+996542300160x^{12}z^{12}-622183514112x^{11}z^{13}+762787528704x^{10}z^{14}+18636505546752x^{9}z^{15}-145320009043968x^{8}z^{16}+840956839428096x^{7}z^{17}-4138728856289280x^{6}z^{18}+18308387063955456x^{5}z^{19}-73552797786857472x^{4}z^{20}+264807522694103040x^{3}z^{21}-68677612x^{2}y^{22}-4613603160x^{2}y^{21}z-52902216292x^{2}y^{20}z^{2}+10318703376x^{2}y^{19}z^{3}+553067544204x^{2}y^{18}z^{4}-2421563808632x^{2}y^{17}z^{5}+5481918460004x^{2}y^{16}z^{6}-4474501916992x^{2}y^{15}z^{7}-32158956331448x^{2}y^{14}z^{8}+185512368839376x^{2}y^{13}z^{9}-543893797018344x^{2}y^{12}z^{10}+982502693436512x^{2}y^{11}z^{11}-804898503187176x^{2}y^{10}z^{12}-1362174521173296x^{2}y^{9}z^{13}+6462864732855880x^{2}y^{8}z^{14}-11441589404690752x^{2}y^{7}z^{15}+2523516396777572x^{2}y^{6}z^{16}+52192416223110280x^{2}y^{5}z^{17}-197657283399991668x^{2}y^{4}z^{18}+432434231043222288x^{2}y^{3}z^{19}-537147475622183524x^{2}y^{2}z^{20}-29765571055091544x^{2}yz^{21}+361809904789721108x^{2}z^{22}+65690900xy^{23}+3786664300xy^{22}z+27472858028xy^{21}z^{2}-155803977852xy^{20}z^{3}-242129076004xy^{19}z^{4}+3268039785508xy^{18}z^{5}-11535623764444xy^{17}z^{6}+17794114711788xy^{16}z^{7}+24357594506632xy^{15}z^{8}-238296467349384xy^{14}z^{9}+766186937459192xy^{13}z^{10}-1459402191577624xy^{12}z^{11}+1376468129123448xy^{11}z^{12}+1133972144682632xy^{10}z^{13}-6005670431155832xy^{9}z^{14}+4306110224594072xy^{8}z^{15}+34801644878429604xy^{7}z^{16}-178551004032148004xy^{6}z^{17}+524076961812678684xy^{5}z^{18}-1104906954390788140xy^{4}z^{19}+1624298441760461420xy^{3}z^{20}-1280609269193095788xy^{2}z^{21}+97002382080608916xyz^{22}-708xz^{23}+729y^{24}-8748y^{23}z+65743388y^{22}z^{2}+3917334596y^{21}z^{3}+35382767290y^{20}z^{4}-80517380084y^{19}z^{5}-352872593076y^{18}z^{6}+2532759164252y^{17}z^{7}-6953400493921y^{16}z^{8}+6469186049608y^{15}z^{9}+30685989429688y^{14}z^{10}-171295780365400y^{13}z^{11}+461000986534220y^{12}z^{12}-741061225765736y^{11}z^{13}+446039685361912y^{10}z^{14}+1139887070594616y^{9}z^{15}-3249865541652889y^{8}z^{16}-403106249270620y^{7}z^{17}+28176866801318188y^{6}z^{18}-116017682296269356y^{5}z^{19}+306846465538727450y^{4}z^{20}-584645481252576100y^{3}z^{21}+729935796542904508y^{2}z^{22}-361809904789550420yz^{23}+z^{24}}{2985984x^{18}z^{6}+35831808x^{17}z^{7}+143327232x^{16}z^{8}+262766592x^{15}z^{9}+394149888x^{14}z^{10}+179159040x^{13}z^{11}+501645312x^{12}z^{12}-644972544x^{11}z^{13}+376233984x^{10}z^{14}+8086044672x^{9}z^{15}-71950270464x^{8}z^{16}+447682609152x^{7}z^{17}-2422218276864x^{6}z^{18}+12061380722688x^{5}z^{19}-56425996320768x^{4}z^{20}+249502014996480x^{3}z^{21}-x^{2}y^{22}-520x^{2}y^{21}z-20947x^{2}y^{20}z^{2}+77096x^{2}y^{19}z^{3}+933601x^{2}y^{18}z^{4}-11058216x^{2}y^{17}z^{5}+19668507x^{2}y^{16}z^{6}-1750644384x^{2}y^{15}z^{7}+3189251766x^{2}y^{14}z^{8}+10186242096x^{2}y^{13}z^{9}-79000078814x^{2}y^{12}z^{10}+274296151792x^{2}y^{11}z^{11}-743945869790x^{2}y^{10}z^{12}+1950215878704x^{2}y^{9}z^{13}-5477452996938x^{2}y^{8}z^{14}+15967494834528x^{2}y^{7}z^{15}-44516080869861x^{2}y^{6}z^{16}+112167122265048x^{2}y^{5}z^{17}-245632280322335x^{2}y^{4}z^{18}+437290118851880x^{2}y^{3}z^{19}-514665542967763x^{2}y^{2}z^{20}-18565576483336x^{2}yz^{21}+320937743683583x^{2}z^{22}+xy^{23}+484xy^{22}z+15812xy^{21}z^{2}-150073xy^{20}z^{3}-109783xy^{19}z^{4}+8658910xy^{18}z^{5}-27799162xy^{17}z^{6}+1389787187xy^{16}z^{7}-7939221790xy^{15}z^{8}+10134272256xy^{14}z^{9}+58979911456xy^{13}z^{10}-418988922914xy^{12}z^{11}+1648507550074xy^{11}z^{12}-5292389047548xy^{10}z^{13}+15544454925300xy^{9}z^{14}-43078791487090xy^{8}z^{15}+111661103656637xy^{7}z^{16}-265221505993204xy^{6}z^{17}+562585100499404xy^{5}z^{18}-1017902114077029xy^{4}z^{19}+1413249532609469xy^{3}z^{20}-1106292180922834xy^{2}z^{21}+71435728686550xyz^{22}-xz^{23}+y^{22}z^{2}-243y^{21}z^{3}+23346y^{20}z^{4}-146602y^{19}z^{5}-259991y^{18}z^{6}+7917657y^{17}z^{7}-13087688y^{16}z^{8}+1375517960y^{15}z^{9}-5210360638y^{14}z^{10}+1437556778y^{13}z^{11}+58005014092y^{12}z^{12}-309314647100y^{11}z^{13}+1102478354266y^{10}z^{14}-3382079700150y^{9}z^{15}+9702685033720y^{8}z^{16}-26367820593144y^{7}z^{17}+66759564304221y^{6}z^{18}-153935801363639y^{5}z^{19}+313670208809810y^{4}z^{20}-531789110168106y^{3}z^{21}+645431331479069y^{2}z^{22}-320937743683619yz^{23}}$ |
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 |
|---|---|---|---|---|---|---|
| $X_0(3)$ | $3$ | $48$ | $24$ | $0$ | $0$ | full Jacobian |
| 16.48.0-8.bb.2.8 | $16$ | $4$ | $4$ | $0$ | $0$ | full Jacobian |
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 16.48.0-8.bb.2.8 | $16$ | $4$ | $4$ | $0$ | $0$ | full Jacobian |
| 48.96.1-24.ir.1.17 | $48$ | $2$ | $2$ | $1$ | $0$ | $2$ |
| 48.96.1-24.ir.1.29 | $48$ | $2$ | $2$ | $1$ | $0$ | $2$ |
This modular curve is minimally covered by the modular curves in the database listed below.
| Covering curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 48.384.5-24.gc.1.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gc.3.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gg.1.15 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gg.3.14 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gk.2.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gk.4.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.go.2.15 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.go.4.14 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.7-24.dp.2.20 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-24.du.1.6 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-24.ea.2.3 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-24.ef.1.6 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-24.ei.2.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-24.em.1.3 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-24.eq.2.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.es.3.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.es.4.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.et.1.3 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.ew.3.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.ew.4.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ex.3.10 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ex.4.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fb.2.9 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fb.4.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ff.3.10 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ff.4.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fj.1.9 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fj.3.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fq.3.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fq.4.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fu.1.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fu.3.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.gs.2.3 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.gu.2.3 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.ha.2.5 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.hc.2.5 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.ho.2.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.hu.2.3 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.hw.2.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.ic.2.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.9-48.bas.2.5 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bay.2.5 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bba.2.5 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{4}\cdot2$ |
| 48.384.9-48.bbg.2.3 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfk.2.5 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfm.2.5 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfs.2.3 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfu.2.3 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bhc.1.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhc.3.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhg.3.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhg.4.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bia.3.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bia.4.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bie.3.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bie.4.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.576.13-24.lo.1.4 | $48$ | $3$ | $3$ | $13$ | $0$ | $1^{4}\cdot2^{3}$ |
| 240.384.5-120.bew.2.9 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bew.4.9 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bfa.2.13 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bfa.4.13 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bfm.1.9 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bfm.3.5 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bfq.1.11 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bfq.3.7 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.7-120.li.2.10 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.lo.1.23 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.lu.2.13 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.ma.1.15 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.mm.2.14 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.ms.1.27 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.my.2.15 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.ne.1.23 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.nn.3.10 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.nn.4.6 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.nr.2.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.nr.4.3 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.od.3.10 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.od.4.10 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.oh.2.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.oh.4.5 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.uk.3.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.uk.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.uo.3.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.uo.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vy.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vy.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wc.1.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wc.3.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.yg.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.yi.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.yw.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.yy.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.baa.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.bag.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.baq.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.baw.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.9-240.fte.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.ftk.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.ftu.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fua.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvc.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fve.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvs.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvu.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcy.1.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcy.3.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gdc.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gdc.4.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gem.3.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gem.4.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.geq.3.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.geq.4.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |