Invariants
| Level: | $48$ | $\SL_2$-level: | $48$ | Newform level: | $72$ | ||
| 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 $4$ are rational) | Cusp widths | $1^{2}\cdot2\cdot3^{2}\cdot4\cdot6\cdot8^{2}\cdot12\cdot24^{2}$ | Cusp orbits | $1^{4}\cdot2^{4}$ | ||
| 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: | $4$ | ||||||
| Rational CM points: | none |
Other labels
| Cummins and Pauli (CP) label: | 24Y3 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 48.192.3.6423 |
Level structure
| $\GL_2(\Z/48\Z)$-generators: | $\begin{bmatrix}1&24\\12&35\end{bmatrix}$, $\begin{bmatrix}17&26\\24&1\end{bmatrix}$, $\begin{bmatrix}17&27\\24&31\end{bmatrix}$, $\begin{bmatrix}19&27\\24&5\end{bmatrix}$, $\begin{bmatrix}31&40\\36&25\end{bmatrix}$, $\begin{bmatrix}47&8\\0&43\end{bmatrix}$ |
| Contains $-I$: | no $\quad$ (see 24.96.3.gh.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: | $2^{9}\cdot3^{5}$ |
| Simple: | no |
| Squarefree: | yes |
| Decomposition: | $1\cdot2$ |
| Newforms: | 24.2.a.a, 72.2.d.b |
Models
Canonical model in $\mathbb{P}^{ 2 }$
| $ 0 $ | $=$ | $ x^{3} y - 2 x^{3} z - 3 x^{2} y^{2} + 3 x^{2} y z + 2 x y^{3} - 3 x y z^{2} + 2 x z^{3} - 3 y^{4} + \cdots - y z^{3} $ |
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.
| Canonical model |
|---|
| $(1:0:1)$, $(1:0:0)$, $(-1:0:1)$, $(0:0:1)$ |
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{1}{3}\cdot\frac{2985984x^{24}-71663616x^{23}z+716636160x^{22}z^{2}-4323704832x^{21}z^{3}+15604752384x^{20}z^{4}-46509686784x^{19}z^{5}-87095181312x^{18}z^{6}-1110857711616x^{17}z^{7}-18220501241856x^{16}z^{8}-225888256327680x^{15}z^{9}-3024257626275840x^{14}z^{10}-40698158953070592x^{13}z^{11}-552715784881127424x^{12}z^{12}-7572023408156147712x^{11}z^{13}-104500182164336934912x^{10}z^{14}-1451584038820650614784x^{9}z^{15}-20279846154330644189184x^{8}z^{16}-284781315494297536266240x^{7}z^{17}-4017454263377006487994368x^{6}z^{18}-56909496231434906515832832x^{5}z^{19}-809174487423284095107096576x^{4}z^{20}-11544506273282340404044726272x^{3}z^{21}-7076226204570668x^{2}y^{22}-62704343370011840x^{2}y^{21}z-574190875853793456x^{2}y^{20}z^{2}-3847129812062348384x^{2}y^{19}z^{3}-23320095269536351664x^{2}y^{18}z^{4}-126154990538482627008x^{2}y^{17}z^{5}-630259854633914437824x^{2}y^{16}z^{6}-2936847409617075818496x^{2}y^{15}z^{7}-12899336392222948763136x^{2}y^{14}z^{8}-53759239802298124377088x^{2}y^{13}z^{9}-213631868003845386603520x^{2}y^{12}z^{10}-812153259839993903247360x^{2}y^{11}z^{11}-2959435838215179507533824x^{2}y^{10}z^{12}-10342410529802964042145792x^{2}y^{9}z^{13}-34627414733504108694577152x^{2}y^{8}z^{14}-110709366548346152921038848x^{2}y^{7}z^{15}-335688806771583834063814656x^{2}y^{6}z^{16}-952393850919279295735136256x^{2}y^{5}z^{17}-2460133155071570214653001728x^{2}y^{4}z^{18}-5412658639452069847724982272x^{2}y^{3}z^{19}-7494421728964423965475209216x^{2}y^{2}z^{20}+16642765802875786845764976640x^{2}yz^{21}+813212326588756322271428608x^{2}z^{22}+2323094056823244xy^{23}+26742965442624808xy^{22}z+244940722738060456xy^{21}z^{2}+1784933822174149104xy^{20}z^{3}+11214569588006732896xy^{19}z^{4}+63273238555253618656xy^{18}z^{5}+326727446466746729664xy^{17}z^{6}+1570090199746729073664xy^{16}z^{7}+7091554966422136983552xy^{15}z^{8}+30338724982252298067456xy^{14}z^{9}+123605261396737556367872xy^{13}z^{10}+481434845816051305376768xy^{12}z^{11}+1797158839963267969683456xy^{11}z^{12}+6437584346216944131756032xy^{10}z^{13}+22125491094903723379908608xy^{9}z^{14}+72824495889728796618276864xy^{8}z^{15}+228492545300663505113432064xy^{7}z^{16}+677413232401814356313800704xy^{6}z^{17}+1872100907417308687160475648xy^{5}z^{18}+4681058368741835814227476480xy^{4}z^{19}+8566448606224428881093853184xy^{3}z^{20}-7736640246407217179099136000xy^{2}z^{21}-10841914797862667520499515392xyz^{22}+11601702010026257436717776896xz^{23}-7945860273114879y^{24}-77317931880839532y^{23}z-709886848510048268y^{22}z^{2}-4919580217919715464y^{21}z^{3}-30301206778869560496y^{20}z^{4}-166930753246358471936y^{19}z^{5}-846336842520057660080y^{18}z^{6}-3998334043100996103168y^{17}z^{7}-17783989482152292592128y^{16}z^{8}-74999433824504832855552y^{15}z^{9}-301430315897852064677376y^{14}z^{10}-1158654682127653593187840y^{13}z^{11}-4268853518910211669894144y^{12}z^{12}-15088266783713931665338368y^{11}z^{13}-51129420310288878128748544y^{10}z^{14}-165681093512841949122936832y^{9}z^{15}-510489357277095698122469376y^{8}z^{16}-1479574667262425662230577152y^{7}z^{17}-3948940603418540469138604032y^{6}z^{18}-9160240763781089072871407616y^{5}z^{19}-14468757249175185583321972736y^{4}z^{20}+4321580556340541288538701824y^{3}z^{21}-3483622190235548397858324480y^{2}z^{22}-5800851005013128718358937600yz^{23}+4096z^{24}}{26873856x^{18}z^{6}+1934917632x^{16}z^{8}+19671662592x^{15}z^{9}+269921009664x^{14}z^{10}+3629905477632x^{13}z^{11}+49300411318272x^{12}z^{12}+675316244791296x^{11}z^{13}+9318715690475520x^{10}z^{14}+129425313480966144x^{9}z^{15}+1807910112690339840x^{8}z^{16}+25383899703655415808x^{7}z^{17}+358041474031118893056x^{6}z^{18}+5071125418129391616000x^{5}z^{19}+72094334916422049988608x^{4}z^{20}+1028433106654429380231168x^{3}z^{21}+466162933709x^{2}y^{22}+5492816015758x^{2}y^{21}z+48197407345166x^{2}y^{20}z^{2}+335963922052008x^{2}y^{19}z^{3}+2038238934292860x^{2}y^{18}z^{4}+11117271910535328x^{2}y^{17}z^{5}+55679229718132512x^{2}y^{16}z^{6}+260161870764632064x^{2}y^{15}z^{7}+1144418599148624256x^{2}y^{14}z^{8}+4775258396995488256x^{2}y^{13}z^{9}+18992014609618552064x^{2}y^{12}z^{10}+72246060254574704128x^{2}y^{11}z^{11}+263380690585150411008x^{2}y^{10}z^{12}+920755690676318819328x^{2}y^{9}z^{13}+3083550118808706831360x^{2}y^{8}z^{14}+9860367531087499837440x^{2}y^{7}z^{15}+29901905307306276384768x^{2}y^{6}z^{16}+84842124443767535517696x^{2}y^{5}z^{17}+219164036153354928644096x^{2}y^{4}z^{18}+482194174284142266941440x^{2}y^{3}z^{19}+667623588616256969916416x^{2}y^{2}z^{20}-1482601024210001814355968x^{2}yz^{21}-72454193668853843816448x^{2}z^{22}-153036967190xy^{23}-2208912971923xy^{22}z-20725869442889xy^{21}z^{2}-154064365003254xy^{20}z^{3}-979238478193116xy^{19}z^{4}-5558271516569280xy^{18}z^{5}-28827990286079808xy^{17}z^{6}-138907838772216384xy^{16}z^{7}-628648066820949888xy^{15}z^{8}-2693105510029548544xy^{14}z^{9}-10983230212594688768xy^{13}z^{10}-42810249527844906496xy^{12}z^{11}-159894401911534785792xy^{11}z^{12}-572988008768721432576xy^{10}z^{13}-1969909573696581070848xy^{9}z^{14}-6485251044994965645312xy^{8}z^{15}-20351185033123251032064xy^{7}z^{16}-60341672694002214162432xy^{6}z^{17}-166771234782744983121920xy^{5}z^{18}-417013088392992219258880xy^{4}z^{19}-763133222984036692017152xy^{3}z^{20}+689235493106046558339072xy^{2}z^{21}+965836151171730949275648xyz^{22}-1033529746076541730160640xz^{23}+523441675470y^{24}+6622947398774y^{23}z+59740410750680y^{22}z^{2}+427636787848663y^{21}z^{3}+2646975643972282y^{20}z^{4}+14691062277677748y^{19}z^{5}+74726020337377668y^{18}z^{6}+353996188810030368y^{17}z^{7}+1577218222372029312y^{16}z^{8}+6660029317010254464y^{15}z^{9}+26791641957104149888y^{14}z^{10}+103052396819760560896y^{13}z^{11}+379866359682878531840y^{12}z^{12}+1343133260758477677824y^{11}z^{13}+4552698852484452242688y^{10}z^{14}+14755601169083375545344y^{9}z^{15}+45470605340848512540672y^{8}z^{16}+131801383412088665235456y^{7}z^{17}+351791391216902093881344y^{6}z^{18}+816050808349240753664000y^{5}z^{19}+1288930385841140034560000y^{4}z^{20}-384984442180781178404864y^{3}z^{21}+310342782388754283937792y^{2}z^{22}+516764873038270865080320yz^{23}}$ |
Modular covers
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 48.48.0-24.bz.2.13 | $48$ | $4$ | $4$ | $0$ | $0$ | full Jacobian |
| 48.96.1-24.ir.1.17 | $48$ | $2$ | $2$ | $1$ | $0$ | $2$ |
| 48.96.1-24.ir.1.28 | $48$ | $2$ | $2$ | $1$ | $0$ | $2$ |
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.gb.1.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gb.2.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gf.1.15 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gf.2.14 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gj.3.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gj.4.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gn.3.15 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gn.4.14 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.7-24.do.2.8 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-24.dt.1.6 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-24.dz.2.7 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-24.ee.1.6 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-24.ei.2.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-24.el.2.5 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-24.eo.2.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.er.3.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.er.4.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.et.2.5 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.ev.3.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.ev.4.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ew.3.6 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ew.4.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fa.3.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fa.4.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fe.3.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fe.4.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fi.1.3 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fi.2.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fp.3.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fp.4.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.ft.1.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.ft.2.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.gq.2.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.gw.2.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.gy.2.9 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.he.2.9 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.hq.2.3 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.hs.2.3 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.hy.2.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.ia.2.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.9-48.bau.2.5 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.baw.2.5 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bbc.2.3 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{4}\cdot2$ |
| 48.384.9-48.bbe.2.3 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfi.2.9 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfo.2.9 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfq.2.5 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfw.2.5 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bhb.1.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhb.2.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhf.3.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhf.4.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhz.3.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhz.4.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bid.3.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bid.4.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.576.13-24.lm.2.4 | $48$ | $3$ | $3$ | $13$ | $0$ | $1^{4}\cdot2^{3}$ |
| 240.384.5-120.bev.3.9 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bev.4.2 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bez.3.13 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bez.4.10 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bfl.1.5 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bfl.2.2 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bfp.1.7 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bfp.2.6 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.7-120.lh.2.11 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.ln.1.21 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.lt.1.7 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.lz.1.13 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.ml.2.29 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.mr.2.22 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.mx.1.23 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.nd.2.14 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.nm.3.6 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.nm.4.4 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.nq.3.5 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.nq.4.2 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.oc.3.10 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.oc.4.4 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.og.3.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.og.4.2 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.uj.3.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.uj.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.un.3.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.un.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vx.3.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vx.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wb.1.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wb.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ye.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.yk.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.yu.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.za.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.bac.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.bae.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.bas.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.bau.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.9-240.ftg.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fti.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.ftw.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fty.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fva.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvg.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvq.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvw.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcx.1.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcx.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gdb.3.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gdb.4.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gel.3.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gel.4.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gep.3.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gep.4.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |