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 |
162624.a1 |
162624by2 |
162624.a |
162624by |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.717822784$ |
$1$ |
|
$7$ |
$537600$ |
$1.221535$ |
$20720464/63$ |
$0.91015$ |
$3.41173$ |
$[0, -1, 0, -17585, -889359]$ |
\(y^2=x^3-x^2-17585x-889359\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[(-79, 24)]$ |
162624.a2 |
162624by1 |
162624.a |
162624by |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3 \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$3.435645568$ |
$1$ |
|
$5$ |
$268800$ |
$0.874961$ |
$-16384/147$ |
$1.05520$ |
$2.81906$ |
$[0, -1, 0, -645, -25419]$ |
\(y^2=x^3-x^2-645x-25419\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[(41, 124)]$ |
162624.b1 |
162624bz2 |
162624.b |
162624bz |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{19} \cdot 3^{2} \cdot 7^{4} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6488064$ |
$2.451694$ |
$286191179/43218$ |
$0.92671$ |
$4.46112$ |
$[0, -1, 0, -1169505, 418883841]$ |
\(y^2=x^3-x^2-1169505x+418883841\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[ ]$ |
162624.b2 |
162624bz1 |
162624.b |
162624bz |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{20} \cdot 3 \cdot 7^{2} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3244032$ |
$2.105118$ |
$5735339/588$ |
$0.87391$ |
$4.13527$ |
$[0, -1, 0, -317665, -62405759]$ |
\(y^2=x^3-x^2-317665x-62405759\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[ ]$ |
162624.c1 |
162624bx2 |
162624.c |
162624bx |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{19} \cdot 3^{2} \cdot 7^{4} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$0.635172098$ |
$1$ |
|
$9$ |
$589824$ |
$1.252745$ |
$286191179/43218$ |
$0.92671$ |
$3.26209$ |
$[0, -1, 0, -9665, -311199]$ |
\(y^2=x^3-x^2-9665x-311199\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[(-59, 224)]$ |
162624.c2 |
162624bx1 |
162624.c |
162624bx |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{20} \cdot 3 \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1.270344197$ |
$1$ |
|
$5$ |
$294912$ |
$0.906172$ |
$5735339/588$ |
$0.87391$ |
$2.93624$ |
$[0, -1, 0, -2625, 47841]$ |
\(y^2=x^3-x^2-2625x+47841\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[(59, 308)]$ |
162624.d1 |
162624gw2 |
162624.d |
162624gw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{15} \cdot 3^{4} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$3.537949402$ |
$1$ |
|
$5$ |
$1228800$ |
$1.668497$ |
$193100552/43659$ |
$0.98714$ |
$3.65552$ |
$[0, -1, 0, -46625, -3009279]$ |
\(y^2=x^3-x^2-46625x-3009279\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(-101, 812)]$ |
162624.d2 |
162624gw1 |
162624.d |
162624gw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 7 \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1.768974701$ |
$1$ |
|
$5$ |
$614400$ |
$1.321924$ |
$4410944/7623$ |
$0.81189$ |
$3.22447$ |
$[0, -1, 0, 6615, -294039]$ |
\(y^2=x^3-x^2+6615x-294039\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(48, 363)]$ |
162624.e1 |
162624cd1 |
162624.e |
162624cd |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{14} \cdot 3 \cdot 7 \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$2.198261346$ |
$1$ |
|
$2$ |
$36864$ |
$0.173985$ |
$90112/21$ |
$0.76292$ |
$2.15920$ |
$[0, -1, 0, -117, -339]$ |
\(y^2=x^3-x^2-117x-339\) |
42.2.0.a.1 |
$[(-4, 7)]$ |
162624.f1 |
162624gz2 |
162624.f |
162624gz |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3 \cdot 7^{3} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$1.647577$ |
$-1108671232/1369599$ |
$0.88456$ |
$3.60756$ |
$[0, -1, 0, -26297, 2914881]$ |
\(y^2=x^3-x^2-26297x+2914881\) |
3.4.0.a.1, 168.8.0.?, 264.8.0.?, 462.8.0.?, 1848.16.0.? |
$[ ]$ |
162624.f2 |
162624gz1 |
162624.f |
162624gz |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 7 \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.098272$ |
$1257728/2079$ |
$0.76896$ |
$2.99872$ |
$[0, -1, 0, 2743, -76239]$ |
\(y^2=x^3-x^2+2743x-76239\) |
3.4.0.a.1, 168.8.0.?, 264.8.0.?, 462.8.0.?, 1848.16.0.? |
$[ ]$ |
162624.g1 |
162624ce1 |
162624.g |
162624ce |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{5} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$6.090595265$ |
$1$ |
|
$0$ |
$84480$ |
$0.460945$ |
$52906619392/1701$ |
$0.94387$ |
$2.80406$ |
$[0, -1, 0, -1547, -22911]$ |
\(y^2=x^3-x^2-1547x-22911\) |
42.2.0.a.1 |
$[(-2712/11, 999/11)]$ |
162624.h1 |
162624ha1 |
162624.h |
162624ha |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{14} \cdot 3 \cdot 7^{5} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2027520$ |
$2.036583$ |
$369098752/50421$ |
$1.12934$ |
$4.05142$ |
$[0, -1, 0, -227157, 36498189]$ |
\(y^2=x^3-x^2-227157x+36498189\) |
42.2.0.a.1 |
$[ ]$ |
162624.i1 |
162624cf1 |
162624.i |
162624cf |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{16} \cdot 3^{4} \cdot 7^{4} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.16.0.3 |
|
$8$ |
$16$ |
$0$ |
$1.578190964$ |
$1$ |
|
$2$ |
$491520$ |
$1.421093$ |
$50250332/194481$ |
$0.95893$ |
$3.34629$ |
$[0, -1, 0, 7583, -608639]$ |
\(y^2=x^3-x^2+7583x-608639\) |
4.8.0.b.1, 8.16.0-4.b.1.1 |
$[(139, 1764)]$ |
162624.j1 |
162624hb1 |
162624.j |
162624hb |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 7^{3} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1672704$ |
$1.838755$ |
$82458112/9261$ |
$1.07708$ |
$3.86406$ |
$[0, -1, 0, -107367, -12120579]$ |
\(y^2=x^3-x^2-107367x-12120579\) |
42.2.0.a.1 |
$[ ]$ |
162624.k1 |
162624gx1 |
162624.k |
162624gx |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 7^{3} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$0.417829039$ |
$1$ |
|
$4$ |
$152064$ |
$0.639808$ |
$82458112/9261$ |
$1.07708$ |
$2.66503$ |
$[0, -1, 0, -887, 9429]$ |
\(y^2=x^3-x^2-887x+9429\) |
42.2.0.a.1 |
$[(4, 77)]$ |
162624.l1 |
162624ca1 |
162624.l |
162624ca |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{16} \cdot 3^{4} \cdot 7^{4} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$88$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5406720$ |
$2.620041$ |
$50250332/194481$ |
$0.95893$ |
$4.54532$ |
$[0, -1, 0, 917503, 806428449]$ |
\(y^2=x^3-x^2+917503x+806428449\) |
4.8.0.b.1, 88.16.0.? |
$[ ]$ |
162624.m1 |
162624gy1 |
162624.m |
162624gy |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{14} \cdot 3 \cdot 7^{5} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1.126232180$ |
$1$ |
|
$2$ |
$184320$ |
$0.837637$ |
$369098752/50421$ |
$1.12934$ |
$2.85239$ |
$[0, -1, 0, -1877, -26739]$ |
\(y^2=x^3-x^2-1877x-26739\) |
42.2.0.a.1 |
$[(-20, 49)]$ |
162624.n1 |
162624cb1 |
162624.n |
162624cb |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{5} \cdot 7 \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$929280$ |
$1.659893$ |
$52906619392/1701$ |
$0.94387$ |
$4.00309$ |
$[0, -1, 0, -187227, 31243401]$ |
\(y^2=x^3-x^2-187227x+31243401\) |
42.2.0.a.1 |
$[ ]$ |
162624.o1 |
162624cc1 |
162624.o |
162624cc |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{14} \cdot 3 \cdot 7 \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$405504$ |
$1.372932$ |
$90112/21$ |
$0.76292$ |
$3.35823$ |
$[0, -1, 0, -14197, 507949]$ |
\(y^2=x^3-x^2-14197x+507949\) |
42.2.0.a.1 |
$[ ]$ |
162624.p1 |
162624hj1 |
162624.p |
162624hj |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{17} \cdot 3^{3} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$101376$ |
$0.501156$ |
$48334/189$ |
$0.82090$ |
$2.42646$ |
$[0, -1, 0, 191, -2495]$ |
\(y^2=x^3-x^2+191x-2495\) |
168.2.0.? |
$[ ]$ |
162624.q1 |
162624cl1 |
162624.q |
162624cl |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{23} \cdot 3^{11} \cdot 7^{3} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$3.185360341$ |
$1$ |
|
$2$ |
$16727040$ |
$3.236256$ |
$-178284948703873/1944365472$ |
$1.00435$ |
$5.37477$ |
$[0, -1, 0, -44911489, 116948338465]$ |
\(y^2=x^3-x^2-44911489x+116948338465\) |
168.2.0.? |
$[(-7179, 263296)]$ |
162624.r1 |
162624hm2 |
162624.r |
162624hm |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{17} \cdot 3^{2} \cdot 7^{2} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1848$ |
$12$ |
$0$ |
$4.166589876$ |
$1$ |
|
$5$ |
$1351680$ |
$2.006851$ |
$2450086/441$ |
$0.85310$ |
$4.00662$ |
$[0, -1, 0, -189889, -26372927]$ |
\(y^2=x^3-x^2-189889x-26372927\) |
2.3.0.a.1, 88.6.0.?, 168.6.0.?, 924.6.0.?, 1848.12.0.? |
$[(-189, 1652)]$ |
162624.r2 |
162624hm1 |
162624.r |
162624hm |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{16} \cdot 3 \cdot 7 \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1848$ |
$12$ |
$0$ |
$8.333179752$ |
$1$ |
|
$1$ |
$675840$ |
$1.660276$ |
$8788/21$ |
$0.88390$ |
$3.57469$ |
$[0, -1, 0, 23071, -2393631]$ |
\(y^2=x^3-x^2+23071x-2393631\) |
2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.? |
$[(3805/2, 237239/2)]$ |
162624.s1 |
162624hk1 |
162624.s |
162624hk |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{29} \cdot 3 \cdot 7^{3} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3345408$ |
$2.531101$ |
$-13475473/2107392$ |
$1.00923$ |
$4.47357$ |
$[0, -1, 0, -189889, 524597185]$ |
\(y^2=x^3-x^2-189889x+524597185\) |
168.2.0.? |
$[ ]$ |
162624.t1 |
162624cm3 |
162624.t |
162624cm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{23} \cdot 3^{12} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$3.995967580$ |
$1$ |
|
$3$ |
$44236800$ |
$3.577972$ |
$86129359107301290313/9166294368$ |
$1.03413$ |
$6.06427$ |
$[0, -1, 0, -712483009, 7320216607585]$ |
\(y^2=x^3-x^2-712483009x+7320216607585\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(14693, 153216)]$ |
162624.t2 |
162624cm2 |
162624.t |
162624cm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{28} \cdot 3^{6} \cdot 7^{4} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$7.991935160$ |
$1$ |
|
$5$ |
$22118400$ |
$3.231400$ |
$21184262604460873/216872764416$ |
$1.00370$ |
$5.37170$ |
$[0, -1, 0, -44640449, 113794679649]$ |
\(y^2=x^3-x^2-44640449x+113794679649\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.2, 24.24.0-24.a.1.8, 44.12.0-2.a.1.1, $\ldots$ |
$[(1182944, 1286587071)]$ |
162624.t3 |
162624cm4 |
162624.t |
162624cm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{23} \cdot 3^{3} \cdot 7^{8} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$15.98387032$ |
$1$ |
|
$1$ |
$44236800$ |
$3.577972$ |
$-333345918055753/72923718045024$ |
$1.06509$ |
$5.52052$ |
$[0, -1, 0, -11186369, 280362543969]$ |
\(y^2=x^3-x^2-11186369x+280362543969\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.v.1.5, 44.12.0-4.c.1.2, $\ldots$ |
$[(427040736/19, 8824743168885/19)]$ |
162624.t4 |
162624cm1 |
162624.t |
162624cm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{38} \cdot 3^{3} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$3.995967580$ |
$1$ |
|
$3$ |
$11059200$ |
$2.884827$ |
$29609739866953/15259926528$ |
$1.00455$ |
$4.82392$ |
$[0, -1, 0, -4991169, -1418198175]$ |
\(y^2=x^3-x^2-4991169x-1418198175\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.bb.1.9, 66.6.0.a.1, $\ldots$ |
$[(-293, 4356)]$ |
162624.u1 |
162624cn4 |
162624.u |
162624cn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{15} \cdot 3^{2} \cdot 7^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$616$ |
$48$ |
$0$ |
$3.030223522$ |
$1$ |
|
$5$ |
$737280$ |
$1.644468$ |
$306182024/21609$ |
$0.95815$ |
$3.69394$ |
$[0, -1, 0, -54369, -4554207]$ |
\(y^2=x^3-x^2-54369x-4554207\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 44.12.0-4.c.1.2, 56.24.0.bc.1, $\ldots$ |
$[(-112, 343)]$ |
162624.u2 |
162624cn2 |
162624.u |
162624cn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$616$ |
$48$ |
$0$ |
$1.515111761$ |
$1$ |
|
$11$ |
$368640$ |
$1.297894$ |
$19248832/3969$ |
$1.05560$ |
$3.29006$ |
$[0, -1, 0, -10809, 350649]$ |
\(y^2=x^3-x^2-10809x+350649\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.a.1, 44.12.0-2.a.1.1, 56.24.0.b.1, $\ldots$ |
$[(9, 504)]$ |
162624.u3 |
162624cn1 |
162624.u |
162624cn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$3.030223522$ |
$1$ |
|
$3$ |
$184320$ |
$0.951321$ |
$1036433728/63$ |
$1.07156$ |
$3.27566$ |
$[0, -1, 0, -10204, 400138]$ |
\(y^2=x^3-x^2-10204x+400138\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 28.12.0.h.1, 56.24.0.br.1, $\ldots$ |
$[(63, 58)]$ |
162624.u4 |
162624cn3 |
162624.u |
162624cn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{8} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$3.030223522$ |
$1$ |
|
$5$ |
$737280$ |
$1.644468$ |
$23393656/45927$ |
$1.19818$ |
$3.55231$ |
$[0, -1, 0, 23071, 2078529]$ |
\(y^2=x^3-x^2+23071x+2078529\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 44.12.0-4.c.1.1, 56.24.0.bt.1, $\ldots$ |
$[(48, 1815)]$ |
162624.v1 |
162624hl4 |
162624.v |
162624hl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{15} \cdot 3^{2} \cdot 7^{4} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1966080$ |
$2.021755$ |
$266344154504/237699$ |
$0.92035$ |
$4.25800$ |
$[0, -1, 0, -519009, -143632575]$ |
\(y^2=x^3-x^2-519009x-143632575\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 44.12.0-4.c.1.2, 56.24.0-56.y.1.11, $\ldots$ |
$[ ]$ |
162624.v2 |
162624hl3 |
162624.v |
162624hl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{15} \cdot 3^{2} \cdot 7 \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1966080$ |
$2.021755$ |
$78073482824/922383$ |
$0.97119$ |
$4.15574$ |
$[0, -1, 0, -344769, 77234049]$ |
\(y^2=x^3-x^2-344769x+77234049\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 44.12.0-4.c.1.1, 56.24.0-56.s.1.5, $\ldots$ |
$[ ]$ |
162624.v3 |
162624hl2 |
162624.v |
162624hl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 7^{2} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$983040$ |
$1.675180$ |
$964430272/480249$ |
$0.99437$ |
$3.61626$ |
$[0, -1, 0, -39849, -1130391]$ |
\(y^2=x^3-x^2-39849x-1130391\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.2, 44.12.0-2.a.1.1, 56.24.0-56.b.1.6, $\ldots$ |
$[ ]$ |
162624.v4 |
162624hl1 |
162624.v |
162624hl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{8} \cdot 7 \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$491520$ |
$1.328608$ |
$748613312/505197$ |
$0.90729$ |
$3.24855$ |
$[0, -1, 0, 9156, -140490]$ |
\(y^2=x^3-x^2+9156x-140490\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 56.24.0-56.y.1.3, 88.24.0.?, $\ldots$ |
$[ ]$ |
162624.w1 |
162624cp2 |
162624.w |
162624cp |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 7^{4} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.29 |
2B |
$3696$ |
$96$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$4055040$ |
$2.459526$ |
$31025539568/194481$ |
$0.93992$ |
$4.62058$ |
$[0, -1, 0, -2213009, 1260991569]$ |
\(y^2=x^3-x^2-2213009x+1260991569\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.s.1, 44.12.0.l.1, 48.24.0.l.1, $\ldots$ |
$[ ]$ |
162624.w2 |
162624cp1 |
162624.w |
162624cp |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{8} \cdot 7^{2} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.31 |
2B |
$3696$ |
$96$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$2027520$ |
$2.112953$ |
$-8388608/321489$ |
$1.23655$ |
$4.05552$ |
$[0, -1, 0, -56789, 42727269]$ |
\(y^2=x^3-x^2-56789x+42727269\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 22.6.0.a.1, 28.12.0.m.1, $\ldots$ |
$[ ]$ |
162624.x1 |
162624co1 |
162624.x |
162624co |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{31} \cdot 3^{21} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$18.94937004$ |
$1$ |
|
$0$ |
$12579840$ |
$2.957642$ |
$146234339790153527/599838494072832$ |
$1.05887$ |
$4.88389$ |
$[0, -1, 0, 3474431, -6151706207]$ |
\(y^2=x^3-x^2+3474431x-6151706207\) |
168.2.0.? |
$[(11574785301/1055, 1261716450277376/1055)]$ |
162624.y1 |
162624cg3 |
162624.y |
162624cg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{17} \cdot 3^{12} \cdot 7^{8} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$88473600$ |
$3.882660$ |
$14171198121996897746/4077720290568771$ |
$1.03437$ |
$5.85611$ |
$[0, -1, 0, -309872449, -1488601497887]$ |
\(y^2=x^3-x^2-309872449x-1488601497887\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.1, 44.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
162624.y2 |
162624cg2 |
162624.y |
162624cg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{4} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$44236800$ |
$3.536087$ |
$21843440425782779332/3100814593569$ |
$1.02507$ |
$5.83440$ |
$[0, -1, 0, -284104289, -1842846700671]$ |
\(y^2=x^3-x^2-284104289x-1842846700671\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.2, 24.24.0-24.a.1.8, 44.12.0-2.a.1.1, $\ldots$ |
$[ ]$ |
162624.y3 |
162624cg1 |
162624.y |
162624cg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{3} \cdot 7^{2} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$22118400$ |
$3.189514$ |
$87364831012240243408/1760913$ |
$1.02507$ |
$5.83440$ |
$[0, -1, 0, -284094609, -1842978582927]$ |
\(y^2=x^3-x^2-284094609x-1842978582927\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.bb.1.9, 66.6.0.a.1, $\ldots$ |
$[ ]$ |
162624.y4 |
162624cg4 |
162624.y |
162624cg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{17} \cdot 3^{3} \cdot 7^{2} \cdot 11^{18} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$88473600$ |
$3.882660$ |
$-8226100326647904626/4152140742401883$ |
$1.03134$ |
$5.86305$ |
$[0, -1, 0, -258491009, -2188651593951]$ |
\(y^2=x^3-x^2-258491009x-2188651593951\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.v.1.5, 44.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
162624.z1 |
162624ch1 |
162624.z |
162624ch |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{31} \cdot 3^{21} \cdot 7 \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$138378240$ |
$4.156593$ |
$146234339790153527/599838494072832$ |
$1.05887$ |
$6.08292$ |
$[0, -1, 0, 420406111, 8186239337025]$ |
\(y^2=x^3-x^2+420406111x+8186239337025\) |
168.2.0.? |
$[ ]$ |
162624.ba1 |
162624ck2 |
162624.ba |
162624ck |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 7^{4} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.29 |
2B |
$3696$ |
$96$ |
$3$ |
$1.294970239$ |
$1$ |
|
$7$ |
$368640$ |
$1.260580$ |
$31025539568/194481$ |
$0.93992$ |
$3.42155$ |
$[0, -1, 0, -18289, -940751]$ |
\(y^2=x^3-x^2-18289x-940751\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.s.1, 44.12.0.l.1, 48.24.0.l.1, $\ldots$ |
$[(-80, 63)]$ |
162624.ba2 |
162624ck1 |
162624.ba |
162624ck |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{8} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.31 |
2B |
$3696$ |
$96$ |
$3$ |
$2.589940478$ |
$1$ |
|
$3$ |
$184320$ |
$0.914005$ |
$-8388608/321489$ |
$1.23655$ |
$2.85649$ |
$[0, -1, 0, -469, -31931]$ |
\(y^2=x^3-x^2-469x-31931\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 22.6.0.a.1, 28.12.0.m.1, $\ldots$ |
$[(213, 3080)]$ |
162624.bb1 |
162624hc4 |
162624.bb |
162624hc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$3.081473885$ |
$1$ |
|
$5$ |
$737280$ |
$1.552481$ |
$381775972/567$ |
$0.96461$ |
$3.77009$ |
$[0, -1, 0, -73729, -7671167]$ |
\(y^2=x^3-x^2-73729x-7671167\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 88.12.0.?, $\ldots$ |
$[(-152, 27)]$ |
162624.bb2 |
162624hc2 |
162624.bb |
162624hc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1.540736942$ |
$1$ |
|
$11$ |
$368640$ |
$1.205906$ |
$810448/441$ |
$0.95393$ |
$3.14161$ |
$[0, -1, 0, -5969, -41391]$ |
\(y^2=x^3-x^2-5969x-41391\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0.a.1, 84.24.0.?, 88.12.0.?, $\ldots$ |
$[(-40, 363)]$ |
162624.bb3 |
162624hc1 |
162624.bb |
162624hc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3 \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$3.081473885$ |
$1$ |
|
$3$ |
$184320$ |
$0.859333$ |
$2725888/21$ |
$0.93026$ |
$3.01163$ |
$[0, -1, 0, -3549, 82029]$ |
\(y^2=x^3-x^2-3549x+82029\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[(53, 200)]$ |