Invariants
| Level: | $24$ | $\SL_2$-level: | $24$ | Newform level: | $96$ | ||
| 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: | 24.192.3.157 |
Level structure
| $\GL_2(\Z/24\Z)$-generators: | $\begin{bmatrix}11&7\\0&1\end{bmatrix}$, $\begin{bmatrix}11&18\\0&1\end{bmatrix}$, $\begin{bmatrix}17&5\\0&17\end{bmatrix}$, $\begin{bmatrix}17&7\\0&5\end{bmatrix}$, $\begin{bmatrix}19&17\\0&13\end{bmatrix}$ |
| $\GL_2(\Z/24\Z)$-subgroup: | $C_{24}:C_2^4$ |
| Contains $-I$: | no $\quad$ (see 24.96.3.gf.2 for the level structure with $-I$) |
| Cyclic 24-isogeny field degree: | $1$ |
| Cyclic 24-torsion field degree: | $4$ |
| Full 24-torsion field degree: | $384$ |
Jacobian
| Conductor: | $2^{13}\cdot3^{3}$ |
| Simple: | no |
| Squarefree: | yes |
| Decomposition: | $1\cdot2$ |
| Newforms: | 24.2.a.a, 96.2.d.a |
Models
Canonical model in $\mathbb{P}^{ 2 }$
| $ 0 $ | $=$ | $ x^{3} y - x^{2} z^{2} - x y^{3} - y^{2} z^{2} - 2 z^{4} $ |
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 |
|---|
| $(0:1:0)$, $(1:1:0)$, $(1:0:0)$, $(-1:1:0)$ |
Maps to other modular curves
$j$-invariant map of degree 96 from the canonical model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle -\frac{x^{24}+12x^{22}z^{2}-660x^{20}z^{4}-8492x^{18}z^{6}+133290x^{16}z^{8}+2003796x^{14}z^{10}-5095172x^{12}z^{12}-157472052x^{10}z^{14}-674813529x^{8}z^{16}-120404488x^{6}z^{18}+6160950360x^{4}z^{20}+22630x^{2}y^{22}+352840x^{2}y^{20}z^{2}+4267742x^{2}y^{18}z^{4}-59259072x^{2}y^{16}z^{6}+871510138x^{2}y^{14}z^{8}-4363207640x^{2}y^{12}z^{10}+9863328762x^{2}y^{10}z^{12}-12298433696x^{2}y^{8}z^{14}+7290667892x^{2}y^{6}z^{16}+6015084688x^{2}y^{4}z^{18}+11841632156x^{2}y^{2}z^{20}+17666332872x^{2}z^{22}+23296xy^{23}+386332xy^{21}z^{2}+1407748xy^{19}z^{4}+82419704xy^{17}z^{6}-831706640xy^{15}z^{8}+4154145308xy^{13}z^{10}-9504293484xy^{11}z^{12}+6550535120xy^{9}z^{14}+2937125896xy^{7}z^{16}+2674199112xy^{5}z^{18}+19347212552xy^{3}z^{20}+4594990416xyz^{22}+729y^{24}+32044y^{22}z^{2}+454034y^{20}z^{4}+1891536y^{18}z^{6}+80446292y^{16}z^{8}-621349612y^{14}z^{10}+1998168494y^{12}z^{12}-779889960y^{10}z^{14}-8380512091y^{8}z^{16}+12254988240y^{6}z^{18}+3265016556y^{4}z^{20}+24680221696y^{2}z^{22}+16028388928z^{24}}{z^{2}(x^{20}z^{2}+12x^{18}z^{4}+88x^{16}z^{6}+492x^{14}z^{8}+2340x^{12}z^{10}+10124x^{10}z^{12}+41480x^{8}z^{14}+165612x^{6}z^{16}+654670x^{4}z^{18}+16x^{2}y^{20}+143x^{2}y^{18}z^{2}+3444x^{2}y^{16}z^{4}+38695x^{2}y^{14}z^{6}+229800x^{2}y^{12}z^{8}+860570x^{2}y^{10}z^{10}+2224680x^{2}y^{8}z^{12}+4130786x^{2}y^{6}z^{14}+5468248x^{2}y^{4}z^{16}+4543616x^{2}y^{2}z^{18}+2586628x^{2}z^{20}-16xy^{21}-144xy^{19}z^{2}+2382xy^{17}z^{4}+36942xy^{15}z^{6}+231008xy^{13}z^{8}+881608xy^{11}z^{10}+2317316xy^{9}z^{12}+4399420xy^{7}z^{14}+6040424xy^{5}z^{16}+5556096xy^{3}z^{18}+2282808xyz^{20}-16y^{20}z^{2}-192y^{18}z^{4}+1855y^{16}z^{6}+37114y^{14}z^{8}+254466y^{12}z^{10}+1027220y^{10}z^{12}+2803474y^{8}z^{14}+5460984y^{6}z^{16}+7641418y^{4}z^{18}+7194972y^{2}z^{20}+3435568z^{22})}$ |
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 |
| 8.48.0-8.ba.1.1 | $8$ | $4$ | $4$ | $0$ | $0$ | full Jacobian |
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 8.48.0-8.ba.1.1 | $8$ | $4$ | $4$ | $0$ | $0$ | full Jacobian |
| 24.96.1-24.ir.1.8 | $24$ | $2$ | $2$ | $1$ | $0$ | $2$ |
| 24.96.1-24.ir.1.34 | $24$ | $2$ | $2$ | $1$ | $0$ | $2$ |
This modular curve is minimally covered by the modular curves in the database listed below.
| Covering curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 24.384.5-24.fz.1.4 | $24$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 24.384.5-24.fz.3.8 | $24$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 24.384.5-24.gd.2.3 | $24$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 24.384.5-24.gd.4.7 | $24$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 24.384.5-24.gh.1.2 | $24$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 24.384.5-24.gh.3.4 | $24$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 24.384.5-24.gl.1.1 | $24$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 24.384.5-24.gl.3.3 | $24$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 24.384.7-24.dj.2.2 | $24$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 24.384.7-24.du.1.8 | $24$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 24.384.7-24.ea.1.6 | $24$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 24.384.7-24.eb.1.8 | $24$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 24.384.7-24.eh.2.1 | $24$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 24.384.7-24.el.2.7 | $24$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 24.384.7-24.eo.1.3 | $24$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 24.384.7-24.er.2.7 | $24$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 24.384.7-24.eu.3.2 | $24$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 24.384.7-24.eu.4.4 | $24$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 24.384.7-24.ey.1.1 | $24$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 24.384.7-24.ey.3.3 | $24$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 24.384.7-24.fc.3.4 | $24$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 24.384.7-24.fc.4.8 | $24$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 24.384.7-24.fg.2.3 | $24$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 24.384.7-24.fg.4.7 | $24$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 24.576.13-24.ll.1.4 | $24$ | $3$ | $3$ | $13$ | $0$ | $1^{4}\cdot2^{3}$ |
| 48.384.7-48.ep.1.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.ep.2.7 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.et.3.7 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.et.4.13 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fn.1.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fn.2.7 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fr.1.7 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fr.3.13 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.gr.1.8 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.gt.1.7 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.gz.2.15 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.hb.2.16 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.hn.1.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.ht.1.3 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.hv.2.7 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.ib.2.8 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.9-48.bar.2.25 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bax.2.26 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.baz.1.30 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{4}\cdot2$ |
| 48.384.9-48.bbf.1.29 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfj.2.17 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfl.2.18 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfr.1.26 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bft.1.25 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bgz.1.7 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bgz.3.13 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhd.1.4 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhd.2.7 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhx.3.7 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhx.4.13 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bib.1.4 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bib.2.7 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 120.384.5-120.bet.1.6 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.384.5-120.bet.3.10 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.384.5-120.bex.1.5 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.384.5-120.bex.3.9 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.384.5-120.bfj.2.4 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.384.5-120.bfj.4.4 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.384.5-120.bfn.2.2 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.384.5-120.bfn.4.2 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.384.7-120.lf.2.1 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.384.7-120.ll.1.23 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.384.7-120.lr.2.25 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.384.7-120.lx.2.23 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.384.7-120.mj.2.1 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.384.7-120.mp.2.21 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.384.7-120.mv.2.25 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.384.7-120.nb.2.21 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.384.7-120.nk.3.2 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.384.7-120.nk.4.2 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.384.7-120.no.2.6 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.384.7-120.no.4.10 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.384.7-120.oa.3.5 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.384.7-120.oa.4.9 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.384.7-120.oe.1.7 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.384.7-120.oe.3.13 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.5-168.bet.2.11 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.384.5-168.bet.4.3 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.384.5-168.bex.2.3 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.384.5-168.bex.4.11 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.384.5-168.bfj.2.11 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.384.5-168.bfj.3.3 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.384.5-168.bfn.3.3 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.384.5-168.bfn.4.11 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.384.7-168.kz.1.1 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.7-168.lf.2.23 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.7-168.ll.1.13 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.7-168.lr.2.23 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.7-168.lx.2.2 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.7-168.md.2.4 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.7-168.mj.2.2 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.7-168.mp.2.2 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.7-168.my.2.11 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.7-168.my.3.3 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.7-168.nc.3.3 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.7-168.nc.4.11 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.7-168.no.2.11 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.7-168.no.4.3 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.7-168.ns.2.3 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 168.384.7-168.ns.4.11 | $168$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.uh.3.15 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.uh.4.29 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ul.3.14 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ul.4.26 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vv.1.13 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vv.3.25 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vz.2.10 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vz.4.18 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.yf.1.7 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.yh.2.5 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.yv.2.13 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.yx.1.15 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.zz.1.7 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.baf.2.5 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.bap.2.13 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.bav.1.15 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.9-240.ftd.1.50 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.ftj.2.52 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.ftt.2.60 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.ftz.1.58 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvb.1.34 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvd.2.36 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvr.2.52 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvt.1.50 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcv.2.10 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcv.4.18 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcz.1.13 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcz.3.25 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gej.3.14 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gej.4.26 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gen.3.15 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gen.4.29 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 264.384.5-264.bet.1.7 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.384.5-264.bet.3.7 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.384.5-264.bex.1.5 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.384.5-264.bex.3.5 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
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| 264.384.5-264.bfj.3.6 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.384.5-264.bfn.2.3 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.384.5-264.bfn.4.3 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.384.7-264.kz.2.1 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 264.384.7-264.lf.2.23 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 264.384.7-264.ll.1.13 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 264.384.7-264.lr.2.23 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
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| 264.384.7-264.md.2.23 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 264.384.7-264.mj.1.13 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 264.384.7-264.mp.2.27 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 264.384.7-264.my.2.2 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 264.384.7-264.my.4.2 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 264.384.7-264.nc.2.6 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 264.384.7-264.nc.4.6 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
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| 264.384.7-264.no.4.5 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
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| 264.384.7-264.ns.3.7 | $264$ | $2$ | $2$ | $7$ | $?$ | not computed |
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| 312.384.5-312.bet.4.12 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.384.5-312.bex.2.14 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.384.5-312.bex.4.4 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.384.5-312.bfj.3.4 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.384.5-312.bfj.4.14 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.384.5-312.bfn.2.12 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.384.5-312.bfn.3.10 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.384.7-312.lf.2.2 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.384.7-312.ll.2.23 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.384.7-312.lr.2.2 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.384.7-312.lx.2.23 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.384.7-312.mj.2.2 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.384.7-312.mp.2.4 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.384.7-312.mv.2.2 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
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| 312.384.7-312.nk.3.4 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.384.7-312.nk.4.14 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.384.7-312.no.2.12 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.384.7-312.no.3.10 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.384.7-312.oa.2.10 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.384.7-312.oa.4.12 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.384.7-312.oe.2.14 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 312.384.7-312.oe.4.4 | $312$ | $2$ | $2$ | $7$ | $?$ | not computed |