| 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 |
| 12168.a1 |
12168k2 |
12168.a |
12168k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.122 |
2B |
$624$ |
$192$ |
$5$ |
$10.51773674$ |
$1$ |
|
$1$ |
$479232$ |
$2.544281$ |
$34909201168/81$ |
$1.02428$ |
$6.32509$ |
$[0, 0, 0, -8548527, -9620201630]$ |
\(y^2=x^3-8548527x-9620201630\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 26.6.0.b.1, 48.48.1.hj.2, $\ldots$ |
$[(179591/5, 68428764/5)]$ |
| 12168.a2 |
12168k1 |
12168.a |
12168k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.119 |
2B |
$624$ |
$192$ |
$5$ |
$5.258868370$ |
$1$ |
|
$3$ |
$239616$ |
$2.197708$ |
$141150208/6561$ |
$1.03967$ |
$5.44451$ |
$[0, 0, 0, -540462, -146660735]$ |
\(y^2=x^3-540462x-146660735\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 26.6.0.b.1, 48.48.1.hj.1, $\ldots$ |
$[(6920, 572265)]$ |
| 12168.b1 |
12168u2 |
12168.b |
12168u |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.776961766$ |
$1$ |
|
$7$ |
$129024$ |
$1.793314$ |
$94875856/9477$ |
$0.90366$ |
$4.87900$ |
$[0, 0, 0, -91767, -9732710]$ |
\(y^2=x^3-91767x-9732710\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(-211, 486)]$ |
| 12168.b2 |
12168u1 |
12168.b |
12168u |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.553923533$ |
$1$ |
|
$5$ |
$64512$ |
$1.446739$ |
$702464/4563$ |
$0.96739$ |
$4.30987$ |
$[0, 0, 0, 7098, -735995]$ |
\(y^2=x^3+7098x-735995\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(74, 441)]$ |
| 12168.c1 |
12168s1 |
12168.c |
12168s |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{14} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$12$ |
$16$ |
$0$ |
$3.880967280$ |
$1$ |
|
$2$ |
$61440$ |
$1.530901$ |
$-616966948/6561$ |
$1.02748$ |
$4.68199$ |
$[0, 0, 0, -49179, -4236154]$ |
\(y^2=x^3-49179x-4236154\) |
4.8.0.b.1, 12.16.0-4.b.1.1 |
$[(283, 2124)]$ |
| 12168.d1 |
12168r1 |
12168.d |
12168r |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$12$ |
$16$ |
$0$ |
$4.675240145$ |
$1$ |
|
$2$ |
$79872$ |
$1.889397$ |
$69212/81$ |
$0.89849$ |
$4.80619$ |
$[0, 0, 0, 72501, -7597226]$ |
\(y^2=x^3+72501x-7597226\) |
4.8.0.b.1, 12.16.0-4.b.1.1 |
$[(755, 21852)]$ |
| 12168.e1 |
12168f3 |
12168.e |
12168f |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 13^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.20 |
2B |
$624$ |
$192$ |
$3$ |
$2.231239045$ |
$1$ |
|
$13$ |
$172032$ |
$2.134613$ |
$3044193988/85293$ |
$0.95679$ |
$5.39510$ |
$[0, 0, 0, -462891, 118246934]$ |
\(y^2=x^3-462891x+118246934\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0-8.o.1.1, $\ldots$ |
$[(455, 1352), (286, 3042)]$ |
| 12168.e2 |
12168f2 |
12168.e |
12168f |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 13^{8} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.28 |
2Cs |
$312$ |
$192$ |
$3$ |
$8.924956181$ |
$1$ |
|
$15$ |
$86016$ |
$1.788040$ |
$37642192/13689$ |
$0.91195$ |
$4.78072$ |
$[0, 0, 0, -67431, -4108390]$ |
\(y^2=x^3-67431x-4108390\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.6, 12.24.0-4.a.1.2, 24.48.0-24.k.1.7, $\ldots$ |
$[(367, 4536), (-146, 1620)]$ |
| 12168.e3 |
12168f1 |
12168.e |
12168f |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 13^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.20 |
2B |
$624$ |
$192$ |
$3$ |
$2.231239045$ |
$1$ |
|
$15$ |
$43008$ |
$1.441467$ |
$420616192/117$ |
$0.96408$ |
$4.74256$ |
$[0, 0, 0, -59826, -5630911]$ |
\(y^2=x^3-59826x-5630911\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0-8.o.1.1, $\ldots$ |
$[(-140, 27), (832, 22815)]$ |
| 12168.e4 |
12168f4 |
12168.e |
12168f |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{8} \cdot 13^{10} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.65 |
2B |
$624$ |
$192$ |
$3$ |
$8.924956181$ |
$1$ |
|
$11$ |
$172032$ |
$2.134613$ |
$269676572/257049$ |
$0.96683$ |
$5.13743$ |
$[0, 0, 0, 206349, -29022370]$ |
\(y^2=x^3+206349x-29022370\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.6, 12.24.0.e.1, 24.48.0-12.e.1.5, $\ldots$ |
$[(247, 6084), (4927/3, 425204/3)]$ |
| 12168.f1 |
12168a2 |
12168.f |
12168a |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.840287992$ |
$1$ |
|
$5$ |
$64512$ |
$1.815340$ |
$530604/169$ |
$0.85497$ |
$4.82540$ |
$[0, 0, 0, -77571, -5575986]$ |
\(y^2=x^3-77571x-5575986\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(-105, 1188)]$ |
| 12168.f2 |
12168a1 |
12168.f |
12168a |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$5.680575984$ |
$1$ |
|
$3$ |
$32256$ |
$1.468765$ |
$11664/13$ |
$0.66228$ |
$4.27219$ |
$[0, 0, 0, 13689, -593190]$ |
\(y^2=x^3+13689x-593190\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(523, 12232)]$ |
| 12168.g1 |
12168w2 |
12168.g |
12168w |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$119808$ |
$2.052555$ |
$907924/9$ |
$0.92429$ |
$5.35016$ |
$[0, 0, 0, -402051, 97278766]$ |
\(y^2=x^3-402051x+97278766\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 12168.g2 |
12168w1 |
12168.g |
12168w |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$59904$ |
$1.705980$ |
$-16/3$ |
$0.96944$ |
$4.65396$ |
$[0, 0, 0, -6591, 3712930]$ |
\(y^2=x^3-6591x+3712930\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 12168.h1 |
12168e1 |
12168.h |
12168e |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.193682551$ |
$1$ |
|
$24$ |
$3840$ |
$0.250544$ |
$-13312/3$ |
$0.78811$ |
$2.88012$ |
$[0, 0, 0, -156, 884]$ |
\(y^2=x^3-156x+884\) |
6.2.0.a.1 |
$[(4, 18), (10, 18)]$ |
| 12168.i1 |
12168d1 |
12168.i |
12168d |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18720$ |
$1.195601$ |
$3328$ |
$0.66228$ |
$4.03909$ |
$[0, 0, 0, -6591, -142805]$ |
\(y^2=x^3-6591x-142805\) |
2.2.0.a.1, 12.4.0-2.a.1.1, 26.6.0.a.1, 156.12.0.? |
$[]$ |
| 12168.j1 |
12168q5 |
12168.j |
12168q |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.210 |
2B |
$624$ |
$192$ |
$1$ |
$7.898336185$ |
$1$ |
|
$1$ |
$73728$ |
$1.879576$ |
$3065617154/9$ |
$1.21059$ |
$5.46953$ |
$[0, 0, 0, -584571, 172029494]$ |
\(y^2=x^3-584571x+172029494\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 24.48.0.bf.1, $\ldots$ |
$[(15406/5, 846054/5)]$ |
| 12168.j2 |
12168q3 |
12168.j |
12168q |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.127 |
2B |
$624$ |
$192$ |
$1$ |
$3.949168092$ |
$1$ |
|
$3$ |
$36864$ |
$1.533003$ |
$28756228/3$ |
$1.05617$ |
$4.89947$ |
$[0, 0, 0, -97851, -11780314]$ |
\(y^2=x^3-97851x-11780314\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0.h.1, 16.48.0.bb.2, $\ldots$ |
$[(494, 7774)]$ |
| 12168.j3 |
12168q4 |
12168.j |
12168q |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$312$ |
$192$ |
$1$ |
$3.949168092$ |
$1$ |
|
$5$ |
$36864$ |
$1.533003$ |
$1556068/81$ |
$1.03212$ |
$4.58940$ |
$[0, 0, 0, -37011, 2614430]$ |
\(y^2=x^3-37011x+2614430\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 104.96.0.?, $\ldots$ |
$[(454, 8910)]$ |
| 12168.j4 |
12168q2 |
12168.j |
12168q |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.138 |
2Cs |
$312$ |
$192$ |
$1$ |
$1.974584046$ |
$1$ |
|
$9$ |
$18432$ |
$1.186428$ |
$35152/9$ |
$0.97255$ |
$4.03909$ |
$[0, 0, 0, -6591, -153790]$ |
\(y^2=x^3-6591x-153790\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.1, 12.24.0.c.1, 24.96.1.bu.1, $\ldots$ |
$[(-53, 216)]$ |
| 12168.j5 |
12168q1 |
12168.j |
12168q |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.150 |
2B |
$624$ |
$192$ |
$1$ |
$0.987292023$ |
$1$ |
|
$7$ |
$9216$ |
$0.839855$ |
$2048/3$ |
$1.17572$ |
$3.48742$ |
$[0, 0, 0, 1014, -15379]$ |
\(y^2=x^3+1014x-15379\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$ |
$[(26, 169)]$ |
| 12168.j6 |
12168q6 |
12168.j |
12168q |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{14} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.218 |
2B |
$624$ |
$192$ |
$1$ |
$7.898336185$ |
$1$ |
|
$1$ |
$73728$ |
$1.879576$ |
$207646/6561$ |
$1.15980$ |
$4.87225$ |
$[0, 0, 0, 23829, 10365446]$ |
\(y^2=x^3+23829x+10365446\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 48.96.1.w.2, 156.12.0.?, $\ldots$ |
$[(2249/10, 3303443/10)]$ |
| 12168.k1 |
12168m1 |
12168.k |
12168m |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$1.375162158$ |
$1$ |
|
$2$ |
$40320$ |
$1.438749$ |
$-235298/13$ |
$0.96559$ |
$4.47196$ |
$[0, 0, 0, -24843, 1577446]$ |
\(y^2=x^3-24843x+1577446\) |
104.2.0.? |
$[(78, 338)]$ |
| 12168.l1 |
12168v2 |
12168.l |
12168v |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$312$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$79872$ |
$2.004677$ |
$250000/81$ |
$1.06098$ |
$5.06568$ |
$[0, 0, 0, -164775, -17079478]$ |
\(y^2=x^3-164775x-17079478\) |
2.3.0.a.1, 4.6.0.d.1, 24.12.0.by.1, 26.6.0.b.1, 52.12.0.i.1, $\ldots$ |
$[]$ |
| 12168.l2 |
12168v1 |
12168.l |
12168v |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$312$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$39936$ |
$1.658104$ |
$256000/9$ |
$0.94257$ |
$4.77345$ |
$[0, 0, 0, -65910, 6311981]$ |
\(y^2=x^3-65910x+6311981\) |
2.3.0.a.1, 4.6.0.d.1, 24.12.0.by.1, 26.6.0.b.1, 52.12.0.i.1, $\ldots$ |
$[]$ |
| 12168.m1 |
12168b2 |
12168.m |
12168b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$43008$ |
$1.617920$ |
$137842000/117$ |
$0.90407$ |
$4.91871$ |
$[0, 0, 0, -103935, 12887602]$ |
\(y^2=x^3-103935x+12887602\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 12168.m2 |
12168b1 |
12168.m |
12168b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$1.271345$ |
$-256000/507$ |
$0.90091$ |
$4.11346$ |
$[0, 0, 0, -5070, 292201]$ |
\(y^2=x^3-5070x+292201\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[]$ |
| 12168.n1 |
12168i2 |
12168.n |
12168i |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$312$ |
$48$ |
$1$ |
$1.381972985$ |
$1$ |
|
$5$ |
$6144$ |
$0.722203$ |
$250000/81$ |
$1.06098$ |
$3.42962$ |
$[0, 0, 0, -975, -7774]$ |
\(y^2=x^3-975x-7774\) |
2.3.0.a.1, 4.6.0.d.1, 24.12.0.by.1, 26.6.0.b.1, 52.12.0.i.1, $\ldots$ |
$[(-13, 52)]$ |
| 12168.n2 |
12168i1 |
12168.n |
12168i |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$312$ |
$48$ |
$1$ |
$0.690986492$ |
$1$ |
|
$9$ |
$3072$ |
$0.375630$ |
$256000/9$ |
$0.94257$ |
$3.13739$ |
$[0, 0, 0, -390, 2873]$ |
\(y^2=x^3-390x+2873\) |
2.3.0.a.1, 4.6.0.d.1, 24.12.0.by.1, 26.6.0.b.1, 52.12.0.i.1, $\ldots$ |
$[(16, 27)]$ |
| 12168.o1 |
12168c1 |
12168.o |
12168c |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$1.154606$ |
$256000/117$ |
$0.88864$ |
$3.95542$ |
$[0, 0, 0, -5070, 63713]$ |
\(y^2=x^3-5070x+63713\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 12168.o2 |
12168c2 |
12168.o |
12168c |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$43008$ |
$1.501181$ |
$686000/507$ |
$0.86569$ |
$4.35496$ |
$[0, 0, 0, 17745, 478946]$ |
\(y^2=x^3+17745x+478946\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[]$ |
| 12168.p1 |
12168l2 |
12168.p |
12168l |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$1.266033$ |
$530604/169$ |
$0.85497$ |
$4.12465$ |
$[0, 0, 0, -8619, 206518]$ |
\(y^2=x^3-8619x+206518\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[]$ |
| 12168.p2 |
12168l1 |
12168.p |
12168l |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10752$ |
$0.919459$ |
$11664/13$ |
$0.66228$ |
$3.57144$ |
$[0, 0, 0, 1521, 21970]$ |
\(y^2=x^3+1521x+21970\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 12168.q1 |
12168n3 |
12168.q |
12168n |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$1.409447346$ |
$1$ |
|
$3$ |
$86016$ |
$2.034904$ |
$62275269892/39$ |
$1.05219$ |
$5.71597$ |
$[0, 0, 0, -1265979, 548261350]$ |
\(y^2=x^3-1265979x+548261350\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.1, 24.24.0-24.z.1.5, $\ldots$ |
$[(-325, 30420)]$ |
| 12168.q2 |
12168n2 |
12168.q |
12168n |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$156$ |
$48$ |
$0$ |
$2.818894692$ |
$1$ |
|
$7$ |
$43008$ |
$1.688332$ |
$61918288/1521$ |
$0.98715$ |
$4.83363$ |
$[0, 0, 0, -79599, 8458450]$ |
\(y^2=x^3-79599x+8458450\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.b.1.4, 52.24.0-52.b.1.4, 156.48.0.? |
$[(107, 1080)]$ |
| 12168.q3 |
12168n1 |
12168.q |
12168n |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$1.409447346$ |
$1$ |
|
$3$ |
$21504$ |
$1.341759$ |
$2725888/1053$ |
$0.92420$ |
$4.20688$ |
$[0, 0, 0, -11154, -261443]$ |
\(y^2=x^3-11154x-261443\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.2, 24.24.0-24.z.1.13, $\ldots$ |
$[(-39, 338)]$ |
| 12168.q4 |
12168n4 |
12168.q |
12168n |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{7} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$5.637789385$ |
$1$ |
|
$3$ |
$86016$ |
$2.034904$ |
$48668/85683$ |
$1.07537$ |
$5.07365$ |
$[0, 0, 0, 11661, 26728702]$ |
\(y^2=x^3+11661x+26728702\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.1, 12.12.0.g.1, $\ldots$ |
$[(614, 16290)]$ |
| 12168.r1 |
12168o1 |
12168.r |
12168o |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$156$ |
$12$ |
$0$ |
$1.399315519$ |
$1$ |
|
$2$ |
$1440$ |
$-0.086875$ |
$3328$ |
$0.66228$ |
$2.40303$ |
$[0, 0, 0, -39, -65]$ |
\(y^2=x^3-39x-65\) |
2.2.0.a.1, 26.6.0.a.1, 156.12.0.? |
$[(-3, 5)]$ |
| 12168.s1 |
12168p1 |
12168.s |
12168p |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.476789381$ |
$1$ |
|
$4$ |
$49920$ |
$1.533018$ |
$-13312/3$ |
$0.78811$ |
$4.51618$ |
$[0, 0, 0, -26364, 1942148]$ |
\(y^2=x^3-26364x+1942148\) |
6.2.0.a.1 |
$[(169, 1521)]$ |
| 12168.t1 |
12168j2 |
12168.t |
12168j |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.122543162$ |
$1$ |
|
$5$ |
$9216$ |
$0.770079$ |
$907924/9$ |
$0.92429$ |
$3.71410$ |
$[0, 0, 0, -2379, 44278]$ |
\(y^2=x^3-2379x+44278\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[(-1, 216)]$ |
| 12168.t2 |
12168j1 |
12168.t |
12168j |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.245086325$ |
$1$ |
|
$3$ |
$4608$ |
$0.423505$ |
$-16/3$ |
$0.96944$ |
$3.01790$ |
$[0, 0, 0, -39, 1690]$ |
\(y^2=x^3-39x+1690\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(3, 40)]$ |
| 12168.u1 |
12168g1 |
12168.u |
12168g |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$0.606922$ |
$69212/81$ |
$0.89849$ |
$3.17013$ |
$[0, 0, 0, 429, -3458]$ |
\(y^2=x^3+429x-3458\) |
4.8.0.b.1, 156.16.0.? |
$[]$ |
| 12168.v1 |
12168h1 |
12168.v |
12168h |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{14} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$156$ |
$16$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$798720$ |
$2.813374$ |
$-616966948/6561$ |
$1.02748$ |
$6.31805$ |
$[0, 0, 0, -8311251, -9306830338]$ |
\(y^2=x^3-8311251x-9306830338\) |
4.8.0.b.1, 156.16.0.? |
$[]$ |
| 12168.w1 |
12168x2 |
12168.w |
12168x |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.122 |
2B |
$624$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.261808$ |
$34909201168/81$ |
$1.02428$ |
$4.68904$ |
$[0, 0, 0, -50583, -4378790]$ |
\(y^2=x^3-50583x-4378790\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 26.6.0.b.1, 48.48.1.hj.2, $\ldots$ |
$[]$ |
| 12168.w2 |
12168x1 |
12168.w |
12168x |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.119 |
2B |
$624$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$0.915235$ |
$141150208/6561$ |
$1.03967$ |
$3.80845$ |
$[0, 0, 0, -3198, -66755]$ |
\(y^2=x^3-3198x-66755\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 26.6.0.b.1, 48.48.1.hj.1, $\ldots$ |
$[]$ |
| 12168.x1 |
12168t1 |
12168.x |
12168t |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{16} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$9.689487151$ |
$1$ |
|
$1$ |
$322560$ |
$2.368168$ |
$1909913257984/129730653$ |
$1.03790$ |
$5.63777$ |
$[0, 0, 0, -990678, -356562115]$ |
\(y^2=x^3-990678x-356562115\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(713626/25, 14484501/25)]$ |
| 12168.x2 |
12168t2 |
12168.x |
12168t |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{11} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$4.844743575$ |
$1$ |
|
$3$ |
$645120$ |
$2.714741$ |
$77366117936/1172914587$ |
$1.04122$ |
$5.93470$ |
$[0, 0, 0, 857337, -1533747670]$ |
\(y^2=x^3+857337x-1533747670\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(2785, 149850)]$ |
