Invariants
| Level: | $48$ | $\SL_2$-level: | $48$ | Newform level: | $24$ | ||
| Index: | $192$ | $\PSL_2$-index: | $96$ | ||||
| Genus: | $1 = 1 + \frac{ 96 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 16 }{2}$ | ||||||
| Cusps: | $16$ (of which $4$ are rational) | Cusp widths | $1^{4}\cdot2^{2}\cdot3^{4}\cdot6^{2}\cdot8^{2}\cdot24^{2}$ | Cusp orbits | $1^{4}\cdot2^{6}$ | ||
| 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: | 24J1 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 48.192.1.3020 |
Level structure
| $\GL_2(\Z/48\Z)$-generators: | $\begin{bmatrix}7&41\\36&7\end{bmatrix}$, $\begin{bmatrix}19&21\\36&43\end{bmatrix}$, $\begin{bmatrix}37&13\\24&7\end{bmatrix}$, $\begin{bmatrix}43&21\\12&47\end{bmatrix}$, $\begin{bmatrix}43&24\\36&29\end{bmatrix}$, $\begin{bmatrix}47&1\\24&29\end{bmatrix}$ |
| Contains $-I$: | no $\quad$ (see 24.96.1.dg.1 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: | $2^{3}\cdot3$ |
| Simple: | yes |
| Squarefree: | yes |
| Decomposition: | $1$ |
| Newforms: | 24.2.a.a |
Models
Weierstrass model Weierstrass model
| $ y^{2} $ | $=$ | $ x^{3} - x^{2} + x $ |
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 |
|---|
| $(0:0:1)$, $(0:1:0)$, $(1:-1:1)$, $(1:1:1)$ |
Maps to other modular curves
$j$-invariant map of degree 96 from the Weierstrass model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle \frac{y(12x^{2}y^{46}+8184x^{2}y^{45}z+1968884x^{2}y^{44}z^{2}+193385808x^{2}y^{43}z^{3}+6878159340x^{2}y^{42}z^{4}+135911691624x^{2}y^{41}z^{5}+1710976720212x^{2}y^{40}z^{6}+13820281552224x^{2}y^{39}z^{7}+57873267194868x^{2}y^{38}z^{8}-138140697603672x^{2}y^{37}z^{9}-4210893299273460x^{2}y^{36}z^{10}-34887333848732784x^{2}y^{35}z^{11}-175865546115218124x^{2}y^{34}z^{12}-575347489902063624x^{2}y^{33}z^{13}-1050924801751067508x^{2}y^{32}z^{14}+233179147639727232x^{2}y^{31}z^{15}+7931347586856171000x^{2}y^{30}z^{16}+25503761922374110768x^{2}y^{29}z^{17}+42537541612886938632x^{2}y^{28}z^{18}+27586243933696970144x^{2}y^{27}z^{19}-44900185353488789704x^{2}y^{26}z^{20}-142358048022670311024x^{2}y^{25}z^{21}-172325252889135818424x^{2}y^{24}z^{22}-76034947631914780608x^{2}y^{23}z^{23}+82546870747644205032x^{2}y^{22}z^{24}+169254330937831119312x^{2}y^{21}z^{25}+125826325700696030744x^{2}y^{20}z^{26}+21058587847502758560x^{2}y^{19}z^{27}-45970329393406086680x^{2}y^{18}z^{28}-47054464630556302480x^{2}y^{17}z^{29}-18788763647540452968x^{2}y^{16}z^{30}+1268763257076812928x^{2}y^{15}z^{31}+5479849914442480188x^{2}y^{14}z^{32}+2860615937430451032x^{2}y^{13}z^{33}+562194292071772356x^{2}y^{12}z^{34}-122821669243574000x^{2}y^{11}z^{35}-111910989570085860x^{2}y^{10}z^{36}-31963573678706296x^{2}y^{9}z^{37}-3678440176144348x^{2}y^{8}z^{38}+349824531249504x^{2}y^{7}z^{39}+186523388627940x^{2}y^{6}z^{40}+27607273763592x^{2}y^{5}z^{41}+1877302964508x^{2}y^{4}z^{42}+47063803344x^{2}y^{3}z^{43}+433060x^{2}y^{2}z^{44}-4881384x^{2}yz^{45}-19684x^{2}z^{46}-36xy^{46}z-19344xy^{45}z^{2}-3345076xy^{44}z^{3}-192122496xy^{43}z^{4}-1433122212xy^{42}z^{5}+105707445744xy^{41}z^{6}+3642907734252xy^{40}z^{7}+61325433429120xy^{39}z^{8}+668807578628388xy^{38}z^{9}+5115371559539472xy^{37}z^{10}+27942353144797812xy^{36}z^{11}+105397835932707840xy^{35}z^{12}+231332815763314884xy^{34}z^{13}-36961690137721584xy^{33}z^{14}-2470219513939337100xy^{32}z^{15}-10222061333611525632xy^{31}z^{16}-23122864162312525800xy^{30}z^{17}-27306706632262633376xy^{29}z^{18}+6278434681778951544xy^{28}z^{19}+91338059351366219008xy^{27}z^{20}+179036765754784801688xy^{26}z^{21}+169165947873635284320xy^{25}z^{22}+16248589147698351672xy^{24}z^{23}-181657228511310295296xy^{23}z^{24}-258138212593908427704xy^{22}z^{25}-157227959532282312672xy^{21}z^{26}+10425294801762152936xy^{20}z^{27}+102606775551133291008xy^{19}z^{28}+86621276321239597832xy^{18}z^{29}+28106252637380679200xy^{17}z^{30}-9171055218679625880xy^{16}z^{31}-14380045535200464384xy^{15}z^{32}-6694084520113711284xy^{14}z^{33}-912318661685001168xy^{13}z^{34}+623876285274116988xy^{12}z^{35}+410506537657726336xy^{11}z^{36}+106738601319928908xy^{10}z^{37}+6666112247290288xy^{9}z^{38}-4263378727519204xy^{8}z^{39}-1485594335848320xy^{7}z^{40}-223798307321004xy^{6}z^{41}-15257796824112xy^{5}z^{42}-27118607004xy^{4}z^{43}+46751393280xy^{3}z^{44}+1291145716xy^{2}z^{45}+9762768xyz^{46}+19684xz^{47}-y^{48}-744y^{47}z-196976y^{46}z^{2}-21566672y^{45}z^{3}-883396212y^{44}z^{4}-22178133336y^{43}z^{5}-399859632096y^{42}z^{6}-5414447137248y^{41}z^{7}-55273968477954y^{40}z^{8}-419145673015608y^{39}z^{9}-2262861200411952y^{38}z^{10}-7577300903761296y^{37}z^{11}-4506744929436516y^{36}z^{12}+113864113541622264y^{35}z^{13}+751919817080773824y^{34}z^{14}+2653879510317953408y^{33}z^{15}+5640025010764992273y^{32}z^{16}+5166123237779694704y^{31}z^{17}-9241009949649364960y^{30}z^{18}-43734358342540476064y^{29}z^{19}-79042667127497212136y^{28}z^{20}-69126404453831335664y^{27}z^{21}+12207512308773925824y^{26}z^{22}+118451776840343341248y^{25}z^{23}+157226497509138626020y^{24}z^{24}+90314712166027208976y^{23}z^{25}-18934673857741022432y^{22}z^{26}-78670474012075057312y^{21}z^{27}-64048132890523193960y^{20}z^{28}-19362631334317676432y^{19}z^{29}+8961301287432393984y^{18}z^{30}+12356116232404672896y^{17}z^{31}+5634877007908520721y^{16}z^{32}+680730072234462200y^{15}z^{33}-607647035014812336y^{14}z^{34}-384505853280277648y^{13}z^{35}-98951657936502436y^{12}z^{36}-5570440899955000y^{11}z^{37}+4296926081666848y^{10}z^{38}+1473104013067808y^{9}z^{39}+221946836883198y^{8}z^{40}+15163981982376y^{7}z^{41}+25826856464y^{6}z^{42}-46756299216y^{5}z^{43}-1291146292y^{4}z^{44}-9762024y^{3}z^{45}-19648y^{2}z^{46}-z^{48})}{zy^{2}(y-z)^{3}(y+z)^{3}(11x^{2}y^{38}-45x^{2}y^{36}z^{2}-8215x^{2}y^{34}z^{4}+231401x^{2}y^{32}z^{6}-2795124x^{2}y^{30}z^{8}+4666348x^{2}y^{28}z^{10}+289252628x^{2}y^{26}z^{12}-2571666732x^{2}y^{24}z^{14}-478580310x^{2}y^{22}z^{16}+6686408922x^{2}y^{20}z^{18}-6657942978x^{2}y^{18}z^{20}+1902575742x^{2}y^{16}z^{22}+1090622492x^{2}y^{14}z^{24}-1205016708x^{2}y^{12}z^{26}+511980004x^{2}y^{10}z^{28}-121703900x^{2}y^{8}z^{30}+15920547x^{2}y^{6}z^{32}-764693x^{2}y^{4}z^{34}-56863x^{2}y^{2}z^{36}+6561x^{2}z^{38}-26xy^{38}z+1698xy^{36}z^{3}-44278xy^{34}z^{5}+805870xy^{32}z^{7}-11325672xy^{30}z^{9}+102681352xy^{28}z^{11}-333586232xy^{26}z^{13}-1705430376xy^{24}z^{15}+4955591412xy^{22}z^{17}-3372790020xy^{20}z^{19}-1797345972xy^{18}z^{21}+4249273668xy^{16}z^{23}-3007738952xy^{14}z^{25}+1116059112xy^{12}z^{27}-198019736xy^{10}z^{29}-8139400xy^{8}z^{31}+12580950xy^{6}z^{33}-2864270xy^{4}z^{35}+303994xy^{2}z^{37}-13122xz^{39}-y^{40}-101y^{38}z^{2}+2605y^{36}z^{4}-37303y^{34}z^{6}+777116y^{32}z^{8}-17161012y^{30}z^{10}+217207844y^{28}z^{12}-988353132y^{26}z^{14}-2708556030y^{24}z^{16}+5426107530y^{22}z^{18}-1931832138y^{20}z^{20}-2183066754y^{18}z^{22}+2616329324y^{16}z^{24}-1232552356y^{14}z^{26}+286966196y^{12}z^{28}-15875996y^{10}z^{30}-9159177y^{8}z^{32}+2616755y^{6}z^{34}-297403y^{4}z^{36}+13121y^{2}z^{38})}$ |
Modular covers
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 48.96.1-24.ir.1.10 | $48$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 48.96.1-24.ir.1.17 | $48$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
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.df.4.2 | $48$ | $2$ | $2$ | $5$ | $0$ | $1^{2}\cdot2$ |
| 48.384.5-24.do.1.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $1^{2}\cdot2$ |
| 48.384.5-24.dr.1.9 | $48$ | $2$ | $2$ | $5$ | $0$ | $1^{2}\cdot2$ |
| 48.384.5-24.du.1.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $1^{2}\cdot2$ |
| 48.384.5-24.ev.3.3 | $48$ | $2$ | $2$ | $5$ | $0$ | $1^{2}\cdot2$ |
| 48.384.5-24.fa.2.5 | $48$ | $2$ | $2$ | $5$ | $1$ | $1^{2}\cdot2$ |
| 48.384.5-24.fd.4.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $1^{2}\cdot2$ |
| 48.384.5-24.fi.2.5 | $48$ | $2$ | $2$ | $5$ | $1$ | $1^{2}\cdot2$ |
| 48.384.5-24.gh.1.15 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-24.gh.1.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-24.gi.2.14 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-24.gi.2.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-24.gj.4.12 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-24.gj.4.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-24.gk.2.14 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-24.gk.2.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-24.gl.2.15 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-24.gl.2.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-24.gm.4.15 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-24.gm.4.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-24.gn.2.15 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-24.gn.2.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-24.go.1.15 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-24.go.1.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.ke.3.1 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.ke.3.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.kf.4.1 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.kf.4.9 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.kg.2.1 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.kg.2.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.kh.1.1 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.kh.1.3 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.km.1.1 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.km.1.3 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.kn.2.1 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.kn.2.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.ko.4.1 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.ko.4.9 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.kp.3.1 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.kp.3.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.384.5-48.kq.2.3 | $48$ | $2$ | $2$ | $5$ | $0$ | $1^{2}\cdot2$ |
| 48.384.5-48.kq.2.7 | $48$ | $2$ | $2$ | $5$ | $0$ | $1^{2}\cdot2$ |
| 48.384.5-48.kt.2.17 | $48$ | $2$ | $2$ | $5$ | $1$ | $1^{2}\cdot2$ |
| 48.384.5-48.kt.2.21 | $48$ | $2$ | $2$ | $5$ | $1$ | $1^{2}\cdot2$ |
| 48.384.5-48.ky.1.2 | $48$ | $2$ | $2$ | $5$ | $0$ | $1^{2}\cdot2$ |
| 48.384.5-48.ky.1.4 | $48$ | $2$ | $2$ | $5$ | $0$ | $1^{2}\cdot2$ |
| 48.384.5-48.lb.1.17 | $48$ | $2$ | $2$ | $5$ | $0$ | $1^{2}\cdot2$ |
| 48.384.5-48.lb.1.19 | $48$ | $2$ | $2$ | $5$ | $0$ | $1^{2}\cdot2$ |
| 48.384.9-48.bbl.3.17 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot4$ |
| 48.384.9-48.bbl.3.19 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot4$ |
| 48.384.9-48.bbo.3.2 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{4}\cdot4$ |
| 48.384.9-48.bbo.3.4 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{4}\cdot4$ |
| 48.384.9-48.bgb.4.17 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{4}\cdot4$ |
| 48.384.9-48.bgb.4.21 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{4}\cdot4$ |
| 48.384.9-48.bge.4.3 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot4$ |
| 48.384.9-48.bge.4.7 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot4$ |
| 48.576.9-24.p.1.4 | $48$ | $3$ | $3$ | $9$ | $0$ | $1^{4}\cdot2^{2}$ |
| 240.384.5-120.zg.2.13 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.zi.1.12 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.zo.4.11 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.zq.1.12 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bbs.2.13 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bbu.2.15 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bca.4.11 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bcc.2.15 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.beh.2.9 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.beh.2.10 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bei.3.5 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bei.3.6 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bej.1.3 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bej.1.4 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bek.1.9 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bek.1.10 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bel.1.9 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bel.1.10 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bem.1.3 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bem.1.4 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.ben.3.5 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.ben.3.7 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.beo.2.9 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.beo.2.11 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjo.3.1 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjo.3.9 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjp.3.1 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjp.3.17 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjq.3.1 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjq.3.17 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjr.3.1 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjr.3.9 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjw.1.1 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjw.1.2 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjx.1.1 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjx.1.2 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjy.3.1 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjy.3.3 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjz.2.1 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cjz.2.3 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.ckk.2.3 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.ckk.2.4 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.ckl.2.3 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.ckl.2.4 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cla.2.3 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cla.2.4 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.clb.2.3 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.clb.2.4 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.9-240.frf.3.2 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.frf.3.10 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.frg.3.2 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.frg.3.6 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fsl.4.2 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fsl.4.18 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fsm.4.2 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fsm.4.10 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |