| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 16224.a1 |
16224g1 |
16224.a |
16224g |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.166321236$ |
$1$ |
|
$2$ |
$5760$ |
$0.077948$ |
$6656/27$ |
$1.10485$ |
$2.48026$ |
$[0, -1, 0, 35, 181]$ |
\(y^2=x^3-x^2+35x+181\) |
6.2.0.a.1 |
$[(-1, 12)]$ |
| 16224.b1 |
16224p1 |
16224.b |
16224p |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$312$ |
$4$ |
$0$ |
$0.314242228$ |
$1$ |
|
$18$ |
$3072$ |
$-0.014192$ |
$-832/9$ |
$1.27279$ |
$2.38819$ |
$[0, -1, 0, -17, 129]$ |
\(y^2=x^3-x^2-17x+129\) |
4.2.0.a.1, 312.4.0.? |
$[(5, 12), (-1, 12)]$ |
| 16224.c1 |
16224e2 |
16224.c |
16224e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{9} \cdot 3 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$4.760442629$ |
$1$ |
|
$1$ |
$18432$ |
$0.856255$ |
$7301384/3$ |
$1.03749$ |
$3.86122$ |
$[0, -1, 0, -5464, -153596]$ |
\(y^2=x^3-x^2-5464x-153596\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 104.24.0.?, $\ldots$ |
$[(-383/3, 190/3)]$ |
| 16224.c2 |
16224e3 |
16224.c |
16224e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{12} \cdot 3 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$1.190110657$ |
$1$ |
|
$5$ |
$18432$ |
$0.856255$ |
$140608/3$ |
$1.02705$ |
$3.66828$ |
$[0, -1, 0, -2929, 60865]$ |
\(y^2=x^3-x^2-2929x+60865\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ |
$[(48, 169)]$ |
| 16224.c3 |
16224e1 |
16224.c |
16224e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$312$ |
$48$ |
$0$ |
$2.380221314$ |
$1$ |
|
$7$ |
$9216$ |
$0.509681$ |
$21952/9$ |
$1.09175$ |
$3.04770$ |
$[0, -1, 0, -394, -1496]$ |
\(y^2=x^3-x^2-394x-1496\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 52.12.0-2.a.1.1, $\ldots$ |
$[(-5, 18)]$ |
| 16224.c4 |
16224e4 |
16224.c |
16224e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$4.760442629$ |
$1$ |
|
$3$ |
$18432$ |
$0.856255$ |
$97336/81$ |
$1.05989$ |
$3.41583$ |
$[0, -1, 0, 1296, -12312]$ |
\(y^2=x^3-x^2+1296x-12312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(333, 6102)]$ |
| 16224.d1 |
16224d1 |
16224.d |
16224d |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.24 |
2B |
$104$ |
$48$ |
$0$ |
$4.438327586$ |
$1$ |
|
$5$ |
$129024$ |
$1.974270$ |
$42246001231552/14414517$ |
$1.03313$ |
$5.25292$ |
$[0, -1, 0, -490494, 132345108]$ |
\(y^2=x^3-x^2-490494x+132345108\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[(398, 122)]$ |
| 16224.d2 |
16224d2 |
16224.d |
16224d |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.38 |
2B |
$104$ |
$48$ |
$0$ |
$2.219163793$ |
$1$ |
|
$7$ |
$258048$ |
$2.320843$ |
$-420526439488/390971529$ |
$1.02537$ |
$5.30524$ |
$[0, -1, 0, -422049, 170523729]$ |
\(y^2=x^3-x^2-422049x+170523729\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.2, 52.12.0.d.1, 104.48.0.? |
$[(-771, 6084)]$ |
| 16224.e1 |
16224n2 |
16224.e |
16224n |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{5} \cdot 13^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$13.08037753$ |
$1$ |
|
$7$ |
$107520$ |
$1.799286$ |
$61162984000/41067$ |
$1.09900$ |
$5.00753$ |
$[0, -1, 0, -221953, -40150319]$ |
\(y^2=x^3-x^2-221953x-40150319\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(555, 2704), (-273, 148)]$ |
| 16224.e2 |
16224n1 |
16224.e |
16224n |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 13^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.270094383$ |
$1$ |
|
$11$ |
$53760$ |
$1.452713$ |
$1643032000/767637$ |
$1.13905$ |
$4.20542$ |
$[0, -1, 0, -16618, -356396]$ |
\(y^2=x^3-x^2-16618x-356396\) |
2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? |
$[(-69, 676), (-30, 338)]$ |
| 16224.f1 |
16224a1 |
16224.f |
16224a |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$18.52807045$ |
$1$ |
|
$0$ |
$174720$ |
$2.076653$ |
$-10816000/243$ |
$1.00598$ |
$5.17852$ |
$[0, -1, 0, -380813, -92063739]$ |
\(y^2=x^3-x^2-380813x-92063739\) |
6.2.0.a.1 |
$[(311265255/101, 5490340891836/101)]$ |
| 16224.g1 |
16224m1 |
16224.g |
16224m |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13440$ |
$0.794179$ |
$-10816000/243$ |
$1.00598$ |
$3.59102$ |
$[0, -1, 0, -2253, -41211]$ |
\(y^2=x^3-x^2-2253x-41211\) |
6.2.0.a.1 |
$[]$ |
| 16224.h1 |
16224b2 |
16224.h |
16224b |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{12} \cdot 3 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.909219748$ |
$1$ |
|
$3$ |
$21504$ |
$1.187160$ |
$1000000/507$ |
$1.15454$ |
$3.87064$ |
$[0, -1, 0, -5633, -55407]$ |
\(y^2=x^3-x^2-5633x-55407\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(139, 1352)]$ |
| 16224.h2 |
16224b1 |
16224.h |
16224b |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.954609874$ |
$1$ |
|
$5$ |
$10752$ |
$0.840587$ |
$10648000/117$ |
$0.92625$ |
$3.68564$ |
$[0, -1, 0, -3098, 66780]$ |
\(y^2=x^3-x^2-3098x+66780\) |
2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? |
$[(-17, 338)]$ |
| 16224.i1 |
16224c2 |
16224.i |
16224c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$27.06460260$ |
$1$ |
|
$1$ |
$129024$ |
$1.795191$ |
$11339065490696/351$ |
$1.01108$ |
$5.33175$ |
$[0, -1, 0, -632792, -193538268]$ |
\(y^2=x^3-x^2-632792x-193538268\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.ba.1.11, 104.24.0.?, $\ldots$ |
$[(6352731567621/47270, 15298966304108924619/47270)]$ |
| 16224.i2 |
16224c3 |
16224.i |
16224c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$312$ |
$48$ |
$0$ |
$6.766150651$ |
$1$ |
|
$3$ |
$129024$ |
$1.795191$ |
$1360251712/771147$ |
$1.06942$ |
$4.61494$ |
$[0, -1, 0, -62417, 877473]$ |
\(y^2=x^3-x^2-62417x+877473\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0.h.1, 24.24.0-12.h.1.3, $\ldots$ |
$[(11176, 1181141)]$ |
| 16224.i3 |
16224c1 |
16224.i |
16224c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$312$ |
$48$ |
$0$ |
$13.53230130$ |
$1$ |
|
$3$ |
$64512$ |
$1.448618$ |
$22235451328/123201$ |
$1.06662$ |
$4.47415$ |
$[0, -1, 0, -39602, -3005640]$ |
\(y^2=x^3-x^2-39602x-3005640\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.3, 52.12.0-2.a.1.1, $\ldots$ |
$[(9408645/58, 28779315045/58)]$ |
| 16224.i4 |
16224c4 |
16224.i |
16224c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$27.06460260$ |
$1$ |
|
$1$ |
$129024$ |
$1.795191$ |
$-245314376/6908733$ |
$1.10902$ |
$4.62660$ |
$[0, -1, 0, -17632, -6345080]$ |
\(y^2=x^3-x^2-17632x-6345080\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.3, 52.12.0-4.c.1.1, $\ldots$ |
$[(7068549975757/50286, 18765659645823216295/50286)]$ |
| 16224.j1 |
16224o1 |
16224.j |
16224o |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$0.924176$ |
$5088448/1053$ |
$0.87842$ |
$3.60947$ |
$[0, -1, 0, -2422, -35972]$ |
\(y^2=x^3-x^2-2422x-35972\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[]$ |
| 16224.j2 |
16224o2 |
16224.j |
16224o |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$43008$ |
$1.270750$ |
$778688/1521$ |
$0.89008$ |
$3.93408$ |
$[0, -1, 0, 5183, -223055]$ |
\(y^2=x^3-x^2+5183x-223055\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.2, 52.12.0.d.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 16224.k1 |
16224f1 |
16224.k |
16224f |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$24$ |
$4$ |
$0$ |
$0.808412194$ |
$1$ |
|
$2$ |
$39936$ |
$1.268284$ |
$-832/9$ |
$1.27279$ |
$3.97570$ |
$[0, -1, 0, -2929, 271777]$ |
\(y^2=x^3-x^2-2929x+271777\) |
4.2.0.a.1, 24.4.0-4.a.1.1 |
$[(-56, 507)]$ |
| 16224.l1 |
16224q1 |
16224.l |
16224q |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$74880$ |
$1.360422$ |
$6656/27$ |
$1.10485$ |
$4.06777$ |
$[0, -1, 0, 5859, 421173]$ |
\(y^2=x^3-x^2+5859x+421173\) |
6.2.0.a.1 |
$[]$ |
| 16224.m1 |
16224x1 |
16224.m |
16224x |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.546144909$ |
$1$ |
|
$4$ |
$5760$ |
$0.077948$ |
$6656/27$ |
$1.10485$ |
$2.48026$ |
$[0, 1, 0, 35, -181]$ |
\(y^2=x^3+x^2+35x-181\) |
6.2.0.a.1 |
$[(5, 12)]$ |
| 16224.n1 |
16224w1 |
16224.n |
16224w |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$312$ |
$4$ |
$0$ |
$0.629298898$ |
$1$ |
|
$4$ |
$3072$ |
$-0.014192$ |
$-832/9$ |
$1.27279$ |
$2.38819$ |
$[0, 1, 0, -17, -129]$ |
\(y^2=x^3+x^2-17x-129\) |
4.2.0.a.1, 312.4.0.? |
$[(7, 12)]$ |
| 16224.o1 |
16224u1 |
16224.o |
16224u |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.24 |
2B |
$104$ |
$48$ |
$0$ |
$3.455554388$ |
$1$ |
|
$5$ |
$129024$ |
$1.974270$ |
$42246001231552/14414517$ |
$1.03313$ |
$5.25292$ |
$[0, 1, 0, -490494, -132345108]$ |
\(y^2=x^3+x^2-490494x-132345108\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[(-402, 174)]$ |
| 16224.o2 |
16224u2 |
16224.o |
16224u |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.38 |
2B |
$104$ |
$48$ |
$0$ |
$6.911108777$ |
$1$ |
|
$3$ |
$258048$ |
$2.320843$ |
$-420526439488/390971529$ |
$1.02537$ |
$5.30524$ |
$[0, 1, 0, -422049, -170523729]$ |
\(y^2=x^3+x^2-422049x-170523729\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.2, 52.12.0.d.1, 104.48.0.? |
$[(4161, 264828)]$ |
| 16224.p1 |
16224v3 |
16224.p |
16224v |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{9} \cdot 3 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$8.665915661$ |
$1$ |
|
$1$ |
$18432$ |
$0.856255$ |
$7301384/3$ |
$1.03749$ |
$3.86122$ |
$[0, 1, 0, -5464, 153596]$ |
\(y^2=x^3+x^2-5464x+153596\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 104.24.0.?, $\ldots$ |
$[(6463/7, 453090/7)]$ |
| 16224.p2 |
16224v2 |
16224.p |
16224v |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{12} \cdot 3 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$2.166478915$ |
$1$ |
|
$3$ |
$18432$ |
$0.856255$ |
$140608/3$ |
$1.02705$ |
$3.66828$ |
$[0, 1, 0, -2929, -60865]$ |
\(y^2=x^3+x^2-2929x-60865\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ |
$[(82, 507)]$ |
| 16224.p3 |
16224v1 |
16224.p |
16224v |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$312$ |
$48$ |
$0$ |
$4.332957830$ |
$1$ |
|
$5$ |
$9216$ |
$0.509681$ |
$21952/9$ |
$1.09175$ |
$3.04770$ |
$[0, 1, 0, -394, 1496]$ |
\(y^2=x^3+x^2-394x+1496\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 52.12.0-2.a.1.1, $\ldots$ |
$[(125, 1386)]$ |
| 16224.p4 |
16224v4 |
16224.p |
16224v |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$2.166478915$ |
$1$ |
|
$5$ |
$18432$ |
$0.856255$ |
$97336/81$ |
$1.05989$ |
$3.41583$ |
$[0, 1, 0, 1296, 12312]$ |
\(y^2=x^3+x^2+1296x+12312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(-6, 66)]$ |
| 16224.q1 |
16224i2 |
16224.q |
16224i |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{12} \cdot 3 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$1.187160$ |
$1000000/507$ |
$1.15454$ |
$3.87064$ |
$[0, 1, 0, -5633, 55407]$ |
\(y^2=x^3+x^2-5633x+55407\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[]$ |
| 16224.q2 |
16224i1 |
16224.q |
16224i |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10752$ |
$0.840587$ |
$10648000/117$ |
$0.92625$ |
$3.68564$ |
$[0, 1, 0, -3098, -66780]$ |
\(y^2=x^3+x^2-3098x-66780\) |
2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 16224.r1 |
16224r1 |
16224.r |
16224r |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.151624662$ |
$1$ |
|
$6$ |
$13440$ |
$0.794179$ |
$-10816000/243$ |
$1.00598$ |
$3.59102$ |
$[0, 1, 0, -2253, 41211]$ |
\(y^2=x^3+x^2-2253x+41211\) |
6.2.0.a.1 |
$[(69, 468)]$ |
| 16224.s1 |
16224h1 |
16224.s |
16224h |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$174720$ |
$2.076653$ |
$-10816000/243$ |
$1.00598$ |
$5.17852$ |
$[0, 1, 0, -380813, 92063739]$ |
\(y^2=x^3+x^2-380813x+92063739\) |
6.2.0.a.1 |
$[]$ |
| 16224.t1 |
16224s2 |
16224.t |
16224s |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{5} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.356742863$ |
$1$ |
|
$5$ |
$107520$ |
$1.799286$ |
$61162984000/41067$ |
$1.09900$ |
$5.00753$ |
$[0, 1, 0, -221953, 40150319]$ |
\(y^2=x^3+x^2-221953x+40150319\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(290, 507)]$ |
| 16224.t2 |
16224s1 |
16224.t |
16224s |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.678371431$ |
$1$ |
|
$7$ |
$53760$ |
$1.452713$ |
$1643032000/767637$ |
$1.13905$ |
$4.20542$ |
$[0, 1, 0, -16618, 356396]$ |
\(y^2=x^3+x^2-16618x+356396\) |
2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? |
$[(-100, 1014)]$ |
| 16224.u1 |
16224j1 |
16224.u |
16224j |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$0.924176$ |
$5088448/1053$ |
$0.87842$ |
$3.60947$ |
$[0, 1, 0, -2422, 35972]$ |
\(y^2=x^3+x^2-2422x+35972\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[]$ |
| 16224.u2 |
16224j2 |
16224.u |
16224j |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$43008$ |
$1.270750$ |
$778688/1521$ |
$0.89008$ |
$3.93408$ |
$[0, 1, 0, 5183, 223055]$ |
\(y^2=x^3+x^2+5183x+223055\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.2, 52.12.0.d.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 16224.v1 |
16224t3 |
16224.v |
16224t |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$7.096323167$ |
$1$ |
|
$1$ |
$129024$ |
$1.795191$ |
$11339065490696/351$ |
$1.01108$ |
$5.33175$ |
$[0, 1, 0, -632792, 193538268]$ |
\(y^2=x^3+x^2-632792x+193538268\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.3, 104.24.0.?, $\ldots$ |
$[(55639/11, 43770/11)]$ |
| 16224.v2 |
16224t2 |
16224.v |
16224t |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$312$ |
$48$ |
$0$ |
$1.774080791$ |
$1$ |
|
$5$ |
$129024$ |
$1.795191$ |
$1360251712/771147$ |
$1.06942$ |
$4.61494$ |
$[0, 1, 0, -62417, -877473]$ |
\(y^2=x^3+x^2-62417x-877473\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0.h.1, 24.24.0-12.h.1.3, $\ldots$ |
$[(-191, 2028)]$ |
| 16224.v3 |
16224t1 |
16224.v |
16224t |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$312$ |
$48$ |
$0$ |
$3.548161583$ |
$1$ |
|
$5$ |
$64512$ |
$1.448618$ |
$22235451328/123201$ |
$1.06662$ |
$4.47415$ |
$[0, 1, 0, -39602, 3005640]$ |
\(y^2=x^3+x^2-39602x+3005640\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.3, 52.12.0-2.a.1.1, $\ldots$ |
$[(133, 330)]$ |
| 16224.v4 |
16224t4 |
16224.v |
16224t |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1.774080791$ |
$1$ |
|
$5$ |
$129024$ |
$1.795191$ |
$-245314376/6908733$ |
$1.10902$ |
$4.62660$ |
$[0, 1, 0, -17632, 6345080]$ |
\(y^2=x^3+x^2-17632x+6345080\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.ba.1.11, 52.12.0-4.c.1.2, $\ldots$ |
$[(26, 2430)]$ |
| 16224.w1 |
16224k1 |
16224.w |
16224k |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$24$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$39936$ |
$1.268284$ |
$-832/9$ |
$1.27279$ |
$3.97570$ |
$[0, 1, 0, -2929, -271777]$ |
\(y^2=x^3+x^2-2929x-271777\) |
4.2.0.a.1, 24.4.0-4.a.1.1 |
$[]$ |
| 16224.x1 |
16224l1 |
16224.x |
16224l |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$74880$ |
$1.360422$ |
$6656/27$ |
$1.10485$ |
$4.06777$ |
$[0, 1, 0, 5859, -421173]$ |
\(y^2=x^3+x^2+5859x-421173\) |
6.2.0.a.1 |
$[]$ |
