Invariants
| Level: | $8$ | $\SL_2$-level: | $8$ | Newform level: | $32$ | ||
| Index: | $96$ | $\PSL_2$-index: | $48$ | ||||
| Genus: | $1 = 1 + \frac{ 48 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 8 }{2}$ | ||||||
| Cusps: | $8$ (of which $4$ are rational) | Cusp widths | $4^{4}\cdot8^{4}$ | Cusp orbits | $1^{4}\cdot2^{2}$ | ||
| 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: | 8F1 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 8.96.1.7 |
Level structure
| $\GL_2(\Z/8\Z)$-generators: | $\begin{bmatrix}1&0\\0&7\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}5&4\\0&5\end{bmatrix}$ |
| $\GL_2(\Z/8\Z)$-subgroup: | $C_2^4$ |
| Contains $-I$: | no $\quad$ (see 8.48.1.h.1 for the level structure with $-I$) |
| Cyclic 8-isogeny field degree: | $1$ |
| Cyclic 8-torsion field degree: | $2$ |
| Full 8-torsion field degree: | $16$ |
Jacobian
| Conductor: | $2^{5}$ |
| Simple: | yes |
| Squarefree: | yes |
| Decomposition: | $1$ |
| Newforms: | 32.2.a.a |
Models
Weierstrass model Weierstrass model
| $ y^{2} $ | $=$ | $ x^{3} + 4x $ |
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 |
|---|
| $(0:0:1)$, $(2:-4:1)$, $(0:1:0)$, $(2:4:1)$ |
Maps to other modular curves
$j$-invariant map of degree 48 from the Weierstrass model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle \frac{1120x^{2}y^{12}z^{2}-4660224x^{2}y^{8}z^{6}+1811742720x^{2}y^{4}z^{10}-17175674880x^{2}z^{14}-32xy^{14}z+409344xy^{10}z^{5}-419495936xy^{6}z^{9}+21475885056xy^{2}z^{13}+y^{16}-19712y^{12}z^{4}+42156032y^{8}z^{8}-4295491584y^{4}z^{12}+16777216z^{16}}{z^{2}y^{8}(x^{2}y^{4}-960x^{2}z^{4}+272xy^{2}z^{3}-24y^{4}z^{2}+256z^{6})}$ |
Modular covers
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| $X_{\mathrm{arith}}(4)$ | $4$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
| 8.48.0-4.b.1.6 | $8$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
| 8.48.0-8.i.1.7 | $8$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
| 8.48.0-8.i.1.10 | $8$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
| 8.48.1-8.c.1.2 | $8$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 8.48.1-8.c.1.7 | $8$ | $2$ | $2$ | $1$ | $0$ | 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 |
|---|---|---|---|---|---|---|
| 8.192.1-8.b.1.5 | $8$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 8.192.1-8.b.2.1 | $8$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 8.192.1-8.g.1.6 | $8$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 8.192.1-8.g.2.5 | $8$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 8.192.3-8.g.1.2 | $8$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 8.192.3-8.g.2.7 | $8$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 8.192.3-8.h.1.1 | $8$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 8.192.3-8.h.2.2 | $8$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 16.192.3-16.s.1.10 | $16$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 16.192.3-16.s.2.11 | $16$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 16.192.3-16.t.1.9 | $16$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 16.192.3-16.t.2.9 | $16$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 16.192.5-16.k.1.4 | $16$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 16.192.5-16.k.2.4 | $16$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 16.192.5-16.l.1.1 | $16$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 16.192.5-16.l.2.1 | $16$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 24.192.1-24.f.1.7 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.192.1-24.f.2.5 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.192.1-24.q.1.5 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.192.1-24.q.2.1 | $24$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 24.192.3-24.r.1.1 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.192.3-24.r.3.1 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.192.3-24.s.1.9 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.192.3-24.s.2.11 | $24$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 24.288.9-24.cs.1.2 | $24$ | $3$ | $3$ | $9$ | $1$ | $1^{8}$ |
| 24.384.9-24.bi.2.4 | $24$ | $4$ | $4$ | $9$ | $0$ | $1^{8}$ |
| 40.192.1-40.f.1.7 | $40$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 40.192.1-40.f.2.5 | $40$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 40.192.1-40.q.1.5 | $40$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 40.192.1-40.q.2.1 | $40$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 40.192.3-40.w.1.1 | $40$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 40.192.3-40.w.3.1 | $40$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 40.192.3-40.x.1.11 | $40$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 40.192.3-40.x.2.15 | $40$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 40.480.17-40.w.1.2 | $40$ | $5$ | $5$ | $17$ | $3$ | $1^{14}\cdot2$ |
| 40.576.17-40.bt.1.5 | $40$ | $6$ | $6$ | $17$ | $1$ | $1^{14}\cdot2$ |
| 40.960.33-40.eu.1.10 | $40$ | $10$ | $10$ | $33$ | $7$ | $1^{28}\cdot2^{2}$ |
| 48.192.3-48.bl.1.14 | $48$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 48.192.3-48.bl.2.14 | $48$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 48.192.3-48.bm.1.14 | $48$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 48.192.3-48.bm.2.14 | $48$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 48.192.5-48.ba.1.4 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.192.5-48.ba.2.4 | $48$ | $2$ | $2$ | $5$ | $0$ | $2^{2}$ |
| 48.192.5-48.bb.1.23 | $48$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 48.192.5-48.bb.2.23 | $48$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 56.192.1-56.f.1.7 | $56$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 56.192.1-56.f.2.5 | $56$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 56.192.1-56.q.1.5 | $56$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 56.192.1-56.q.2.1 | $56$ | $2$ | $2$ | $1$ | $0$ | dimension zero |
| 56.192.3-56.o.1.1 | $56$ | $2$ | $2$ | $3$ | $2$ | $1^{2}$ |
| 56.192.3-56.o.3.14 | $56$ | $2$ | $2$ | $3$ | $2$ | $1^{2}$ |
| 56.192.3-56.p.1.11 | $56$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 56.192.3-56.p.2.15 | $56$ | $2$ | $2$ | $3$ | $0$ | $2$ |
| 56.768.25-56.bi.1.10 | $56$ | $8$ | $8$ | $25$ | $3$ | $1^{20}\cdot2^{2}$ |
| 56.2016.73-56.cs.1.1 | $56$ | $21$ | $21$ | $73$ | $19$ | $1^{16}\cdot2^{26}\cdot4$ |
| 56.2688.97-56.cs.2.5 | $56$ | $28$ | $28$ | $97$ | $22$ | $1^{36}\cdot2^{28}\cdot4$ |
| 80.192.3-80.cb.1.13 | $80$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 80.192.3-80.cb.2.13 | $80$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 80.192.3-80.cc.1.13 | $80$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 80.192.3-80.cc.2.13 | $80$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 80.192.5-80.ba.1.1 | $80$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 80.192.5-80.ba.2.1 | $80$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 80.192.5-80.bb.1.19 | $80$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 80.192.5-80.bb.2.21 | $80$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 88.192.1-88.f.1.7 | $88$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 88.192.1-88.f.2.5 | $88$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 88.192.1-88.q.1.5 | $88$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 88.192.1-88.q.2.1 | $88$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 88.192.3-88.o.1.1 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 88.192.3-88.o.3.1 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 88.192.3-88.p.1.11 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 88.192.3-88.p.2.15 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.1-104.f.1.7 | $104$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 104.192.1-104.f.2.5 | $104$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 104.192.1-104.q.1.5 | $104$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 104.192.1-104.q.2.1 | $104$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 104.192.3-104.w.1.1 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.3-104.w.3.1 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.3-104.x.1.11 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.3-104.x.2.15 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 112.192.3-112.bl.1.13 | $112$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 112.192.3-112.bl.2.13 | $112$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 112.192.3-112.bm.1.14 | $112$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 112.192.3-112.bm.2.14 | $112$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 112.192.5-112.ba.1.3 | $112$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 112.192.5-112.ba.2.3 | $112$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 112.192.5-112.bb.1.23 | $112$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 112.192.5-112.bb.2.23 | $112$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.192.1-120.v.1.13 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.192.1-120.v.2.9 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.192.1-120.bu.1.15 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.192.1-120.bu.2.13 | $120$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 120.192.3-120.bs.1.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.bs.3.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.bt.1.25 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.bt.2.25 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.1-136.f.1.7 | $136$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 136.192.1-136.f.2.5 | $136$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 136.192.1-136.q.1.5 | $136$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 136.192.1-136.q.2.1 | $136$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 136.192.3-136.w.1.1 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.3-136.w.3.1 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.3-136.x.1.11 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.3-136.x.2.15 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.1-152.f.1.7 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 152.192.1-152.f.2.5 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 152.192.1-152.q.1.5 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 152.192.1-152.q.2.1 | $152$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 152.192.3-152.o.1.1 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.3-152.o.3.14 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.3-152.p.1.11 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.3-152.p.2.15 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.1-168.v.1.13 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.192.1-168.v.2.13 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.192.1-168.bu.1.9 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.192.1-168.bu.2.9 | $168$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 168.192.3-168.bk.1.2 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.bk.3.24 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.bl.1.17 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.bl.2.25 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 176.192.3-176.bl.1.14 | $176$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 176.192.3-176.bl.2.14 | $176$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 176.192.3-176.bm.1.14 | $176$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 176.192.3-176.bm.2.14 | $176$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 176.192.5-176.ba.1.4 | $176$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 176.192.5-176.ba.2.4 | $176$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 176.192.5-176.bb.1.23 | $176$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 176.192.5-176.bb.2.23 | $176$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 184.192.1-184.f.1.7 | $184$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 184.192.1-184.f.2.5 | $184$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 184.192.1-184.q.1.5 | $184$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 184.192.1-184.q.2.1 | $184$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 184.192.3-184.o.1.1 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 184.192.3-184.o.3.1 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 184.192.3-184.p.1.11 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 184.192.3-184.p.2.15 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 208.192.3-208.cb.1.13 | $208$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 208.192.3-208.cb.2.13 | $208$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 208.192.3-208.cc.1.13 | $208$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 208.192.3-208.cc.2.13 | $208$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 208.192.5-208.ba.1.1 | $208$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 208.192.5-208.ba.2.1 | $208$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 208.192.5-208.bb.1.19 | $208$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 208.192.5-208.bb.2.21 | $208$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 232.192.1-232.f.1.7 | $232$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 232.192.1-232.f.2.5 | $232$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 232.192.1-232.q.1.5 | $232$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 232.192.1-232.q.2.1 | $232$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 232.192.3-232.w.1.1 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 232.192.3-232.w.3.1 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 232.192.3-232.x.1.11 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 232.192.3-232.x.2.15 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 240.192.3-240.dx.1.31 | $240$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 240.192.3-240.dx.2.31 | $240$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 240.192.3-240.dy.1.32 | $240$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 240.192.3-240.dy.2.32 | $240$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 240.192.5-240.cw.1.1 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.192.5-240.cw.2.1 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.192.5-240.cx.1.47 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.192.5-240.cx.2.47 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 248.192.1-248.f.1.7 | $248$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 248.192.1-248.f.2.5 | $248$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 248.192.1-248.q.1.5 | $248$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 248.192.1-248.q.2.1 | $248$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 248.192.3-248.o.1.1 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 248.192.3-248.o.3.14 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 248.192.3-248.p.1.11 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 248.192.3-248.p.2.15 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.1-264.v.1.13 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.192.1-264.v.2.13 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.192.1-264.bu.1.9 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.192.1-264.bu.2.9 | $264$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 264.192.3-264.bk.1.2 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.bk.3.2 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.bl.1.17 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.bl.2.25 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 272.192.3-272.cb.1.14 | $272$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 272.192.3-272.cb.2.14 | $272$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 272.192.3-272.cc.1.13 | $272$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 272.192.3-272.cc.2.13 | $272$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 272.192.5-272.ba.1.2 | $272$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 272.192.5-272.ba.2.2 | $272$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 272.192.5-272.bb.1.19 | $272$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 272.192.5-272.bb.2.21 | $272$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.192.1-280.v.1.9 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 280.192.1-280.v.2.13 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 280.192.1-280.bu.1.13 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 280.192.1-280.bu.2.15 | $280$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 280.192.3-280.bs.1.1 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 280.192.3-280.bs.3.1 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 280.192.3-280.bt.1.17 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 280.192.3-280.bt.2.17 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.1-296.f.1.7 | $296$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 296.192.1-296.f.2.5 | $296$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 296.192.1-296.q.1.5 | $296$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 296.192.1-296.q.2.1 | $296$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 296.192.3-296.w.1.1 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.3-296.w.3.1 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.3-296.x.1.11 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.3-296.x.2.15 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 304.192.3-304.bl.1.14 | $304$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 304.192.3-304.bl.2.14 | $304$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 304.192.3-304.bm.1.14 | $304$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 304.192.3-304.bm.2.14 | $304$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 304.192.5-304.ba.1.4 | $304$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 304.192.5-304.ba.2.4 | $304$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 304.192.5-304.bb.1.23 | $304$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 304.192.5-304.bb.2.23 | $304$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.192.1-312.v.1.13 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.192.1-312.v.2.13 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.192.1-312.bu.1.9 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.192.1-312.bu.2.9 | $312$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 312.192.3-312.bs.1.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.bs.3.23 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.bt.1.17 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.bt.2.25 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.1-328.f.1.7 | $328$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 328.192.1-328.f.2.5 | $328$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 328.192.1-328.q.1.5 | $328$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 328.192.1-328.q.2.1 | $328$ | $2$ | $2$ | $1$ | $?$ | dimension zero |
| 328.192.3-328.w.1.1 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.3-328.w.3.14 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.3-328.x.1.11 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.3-328.x.2.15 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |