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 |
67760.a1 |
67760bg1 |
67760.a |
67760bg |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{5} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$3.931508146$ |
$1$ |
|
$2$ |
$285600$ |
$1.287880$ |
$14155776/84035$ |
$1.21697$ |
$3.47219$ |
$[0, 0, 0, 3872, 282172]$ |
\(y^2=x^3+3872x+282172\) |
70.2.0.a.1 |
$[(-46, 82)]$ |
67760.b1 |
67760ce1 |
67760.b |
67760ce |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{23} \cdot 5^{2} \cdot 7 \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2787840$ |
$2.453735$ |
$-11437987859001/358400$ |
$1.06197$ |
$5.17533$ |
$[0, 0, 0, -4494787, -3667951166]$ |
\(y^2=x^3-4494787x-3667951166\) |
56.2.0.b.1 |
$[ ]$ |
67760.c1 |
67760cq1 |
67760.c |
67760cq |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{23} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$0.550405720$ |
$1$ |
|
$4$ |
$253440$ |
$1.254789$ |
$-11437987859001/358400$ |
$1.06197$ |
$3.88193$ |
$[0, 0, 0, -37147, 2755786]$ |
\(y^2=x^3-37147x+2755786\) |
56.2.0.b.1 |
$[(125, 256)]$ |
67760.d1 |
67760bu2 |
67760.d |
67760bu |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{13} \cdot 5^{2} \cdot 7 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.701080$ |
$43949604889/42350$ |
$0.87006$ |
$4.24421$ |
$[0, 1, 0, -142336, -20699340]$ |
\(y^2=x^3+x^2-142336x-20699340\) |
2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? |
$[ ]$ |
67760.d2 |
67760bu1 |
67760.d |
67760bu |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{14} \cdot 5 \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.354507$ |
$-4826809/10780$ |
$0.90292$ |
$3.56676$ |
$[0, 1, 0, -6816, -479756]$ |
\(y^2=x^3+x^2-6816x-479756\) |
2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? |
$[ ]$ |
67760.e1 |
67760co2 |
67760.e |
67760co |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 7^{4} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1.038778016$ |
$1$ |
|
$5$ |
$276480$ |
$1.468243$ |
$1193895376/660275$ |
$0.85133$ |
$3.67081$ |
$[0, 1, 0, -16980, -185000]$ |
\(y^2=x^3+x^2-16980x-185000\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? |
$[(183, 1694)]$ |
67760.e2 |
67760co1 |
67760.e |
67760co |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$2.077556033$ |
$1$ |
|
$3$ |
$138240$ |
$1.121670$ |
$4294967296/29645$ |
$1.07594$ |
$3.53664$ |
$[0, 1, 0, -10325, 397978]$ |
\(y^2=x^3+x^2-10325x+397978\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? |
$[(238, 3388)]$ |
67760.f1 |
67760be2 |
67760.f |
67760be |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{19} \cdot 5^{6} \cdot 7 \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$0.637636173$ |
$1$ |
|
$4$ |
$19160064$ |
$3.577549$ |
$-249353795628717731809/14000000$ |
$1.01914$ |
$6.69437$ |
$[0, -1, 0, -1255638336, 17125985729536]$ |
\(y^2=x^3-x^2-1255638336x+17125985729536\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[(16416, 968000)]$ |
67760.f2 |
67760be1 |
67760.f |
67760be |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{33} \cdot 5^{2} \cdot 7^{3} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1.912908520$ |
$1$ |
|
$4$ |
$6386688$ |
$3.028240$ |
$-456390127585249/17983078400$ |
$0.96334$ |
$5.51265$ |
$[0, -1, 0, -15359296, 23949777920]$ |
\(y^2=x^3-x^2-15359296x+23949777920\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[(1888, 40960)]$ |
67760.g1 |
67760bc1 |
67760.g |
67760bc |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 7^{3} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$8.166388589$ |
$1$ |
|
$0$ |
$456192$ |
$1.914557$ |
$-63088729/68600$ |
$0.84744$ |
$4.18191$ |
$[0, -1, 0, -79416, -14589584]$ |
\(y^2=x^3-x^2-79416x-14589584\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[(7149/2, 595945/2)]$ |
67760.g2 |
67760bc2 |
67760.g |
67760bc |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{21} \cdot 5^{6} \cdot 7 \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$2.722129529$ |
$1$ |
|
$0$ |
$1368576$ |
$2.463863$ |
$37199299511/56000000$ |
$0.92104$ |
$4.70268$ |
$[0, -1, 0, 665944, 264473200]$ |
\(y^2=x^3-x^2+665944x+264473200\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[(-523/2, 105875/2)]$ |
67760.h1 |
67760e1 |
67760.h |
67760e |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{11} \cdot 5^{2} \cdot 7^{5} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$506880$ |
$1.996195$ |
$130454302/420175$ |
$0.86830$ |
$4.22636$ |
$[0, -1, 0, 80304, -18742304]$ |
\(y^2=x^3-x^2+80304x-18742304\) |
56.2.0.b.1 |
$[ ]$ |
67760.i1 |
67760bd1 |
67760.i |
67760bd |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 7 \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$2.254451962$ |
$1$ |
|
$4$ |
$82944$ |
$0.975495$ |
$-584043889/1400$ |
$0.98946$ |
$3.42502$ |
$[0, -1, 0, -6816, -214784]$ |
\(y^2=x^3-x^2-6816x-214784\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[(96, 80)]$ |
67760.i2 |
67760bd2 |
67760.i |
67760bd |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{13} \cdot 5^{6} \cdot 7^{3} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$0.751483987$ |
$1$ |
|
$4$ |
$248832$ |
$1.524801$ |
$3639707951/10718750$ |
$0.93831$ |
$3.71573$ |
$[0, -1, 0, 12544, -1097600]$ |
\(y^2=x^3-x^2+12544x-1097600\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[(488, 11000)]$ |
67760.j1 |
67760bp1 |
67760.j |
67760bp |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 7 \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$912384$ |
$2.174442$ |
$-584043889/1400$ |
$0.98946$ |
$4.71841$ |
$[0, -1, 0, -824776, 289176560]$ |
\(y^2=x^3-x^2-824776x+289176560\) |
3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? |
$[ ]$ |
67760.j2 |
67760bp2 |
67760.j |
67760bp |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{13} \cdot 5^{6} \cdot 7^{3} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2737152$ |
$2.723751$ |
$3639707951/10718750$ |
$0.93831$ |
$5.00913$ |
$[0, -1, 0, 1517784, 1454834416]$ |
\(y^2=x^3-x^2+1517784x+1454834416\) |
3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? |
$[ ]$ |
67760.k1 |
67760bo3 |
67760.k |
67760bo |
$3$ |
$9$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 5^{9} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$13860$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$583200$ |
$2.019558$ |
$-250523582464/13671875$ |
$1.02112$ |
$4.40878$ |
$[0, -1, 0, -254261, -51537539]$ |
\(y^2=x^3-x^2-254261x-51537539\) |
3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.2, 70.2.0.a.1, 132.8.0.?, $\ldots$ |
$[ ]$ |
67760.k2 |
67760bo1 |
67760.k |
67760bo |
$3$ |
$9$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 5 \cdot 7 \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$13860$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$64800$ |
$0.920944$ |
$-262144/35$ |
$0.88715$ |
$3.18143$ |
$[0, -1, 0, -2581, 56861]$ |
\(y^2=x^3-x^2-2581x+56861\) |
3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.1, 70.2.0.a.1, 132.8.0.?, $\ldots$ |
$[ ]$ |
67760.k3 |
67760bo2 |
67760.k |
67760bo |
$3$ |
$9$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{3} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$13860$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$194400$ |
$1.470251$ |
$71991296/42875$ |
$1.06493$ |
$3.66758$ |
$[0, -1, 0, 16779, -148355]$ |
\(y^2=x^3-x^2+16779x-148355\) |
3.12.0.a.1, 63.36.0.b.1, 70.2.0.a.1, 132.24.0.?, 210.24.1.?, $\ldots$ |
$[ ]$ |
67760.l1 |
67760i1 |
67760.l |
67760i |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{11} \cdot 5^{2} \cdot 7^{5} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$0.151918645$ |
$1$ |
|
$8$ |
$46080$ |
$0.797248$ |
$130454302/420175$ |
$0.86830$ |
$2.93297$ |
$[0, -1, 0, 664, 13840]$ |
\(y^2=x^3-x^2+664x+13840\) |
56.2.0.b.1 |
$[(8, 140)]$ |
67760.m1 |
67760bn1 |
67760.m |
67760bn |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 7^{3} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$0.323374643$ |
$1$ |
|
$18$ |
$41472$ |
$0.715609$ |
$-63088729/68600$ |
$0.84744$ |
$2.88851$ |
$[0, -1, 0, -656, 11200]$ |
\(y^2=x^3-x^2-656x+11200\) |
3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? |
$[(-24, 112), (18, 70)]$ |
67760.m2 |
67760bn2 |
67760.m |
67760bn |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{21} \cdot 5^{6} \cdot 7 \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$2.910371791$ |
$1$ |
|
$6$ |
$124416$ |
$1.264914$ |
$37199299511/56000000$ |
$0.92104$ |
$3.40928$ |
$[0, -1, 0, 5504, -200704]$ |
\(y^2=x^3-x^2+5504x-200704\) |
3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? |
$[(64, 640), (106, 1250)]$ |
67760.n1 |
67760bq2 |
67760.n |
67760bq |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{19} \cdot 5^{6} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1741824$ |
$2.378601$ |
$-249353795628717731809/14000000$ |
$1.01914$ |
$5.40097$ |
$[0, -1, 0, -10377176, -12863233040]$ |
\(y^2=x^3-x^2-10377176x-12863233040\) |
3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? |
$[ ]$ |
67760.n2 |
67760bq1 |
67760.n |
67760bq |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{33} \cdot 5^{2} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$580608$ |
$1.829294$ |
$-456390127585249/17983078400$ |
$0.96334$ |
$4.21925$ |
$[0, -1, 0, -126936, -17947664]$ |
\(y^2=x^3-x^2-126936x-17947664\) |
3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? |
$[ ]$ |
67760.o1 |
67760bz1 |
67760.o |
67760bz |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{17} \cdot 5^{4} \cdot 7^{7} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$645120$ |
$2.033833$ |
$-57839429434456681/16470860000$ |
$0.98689$ |
$4.64867$ |
$[0, -1, 0, -637600, -195797248]$ |
\(y^2=x^3-x^2-637600x-195797248\) |
56.2.0.b.1 |
$[ ]$ |
67760.p1 |
67760l1 |
67760.p |
67760l |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{11} \cdot 5^{8} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$0.323464767$ |
$1$ |
|
$6$ |
$86016$ |
$1.099844$ |
$-356696720402/2734375$ |
$0.90816$ |
$3.50905$ |
$[0, -1, 0, -9280, 349472]$ |
\(y^2=x^3-x^2-9280x+349472\) |
56.2.0.b.1 |
$[(74, 250)]$ |
67760.q1 |
67760ca1 |
67760.q |
67760ca |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{13} \cdot 5^{6} \cdot 7^{3} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1368576$ |
$2.325756$ |
$-2509090441/10718750$ |
$0.91263$ |
$4.60908$ |
$[0, -1, 0, -271080, -157187600]$ |
\(y^2=x^3-x^2-271080x-157187600\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[ ]$ |
67760.q2 |
67760ca2 |
67760.q |
67760ca |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 7^{9} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4105728$ |
$2.875061$ |
$1721540467559/8070721400$ |
$0.96376$ |
$5.18130$ |
$[0, -1, 0, 2390920, 3791090800]$ |
\(y^2=x^3-x^2+2390920x+3791090800\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[ ]$ |
67760.r1 |
67760cj1 |
67760.r |
67760cj |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{13} \cdot 5^{6} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$0.100162717$ |
$1$ |
|
$12$ |
$124416$ |
$1.126808$ |
$-2509090441/10718750$ |
$0.91263$ |
$3.31569$ |
$[0, -1, 0, -2240, 118912]$ |
\(y^2=x^3-x^2-2240x+118912\) |
3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? |
$[(24, 280)]$ |
67760.r2 |
67760cj2 |
67760.r |
67760cj |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$0.300488151$ |
$1$ |
|
$6$ |
$373248$ |
$1.676115$ |
$1721540467559/8070721400$ |
$0.96376$ |
$3.88791$ |
$[0, -1, 0, 19760, -2855488]$ |
\(y^2=x^3-x^2+19760x-2855488\) |
3.4.0.a.1, 56.2.0.b.1, 132.8.0.?, 168.8.0.?, 1848.16.0.? |
$[(904, 27440)]$ |
67760.s1 |
67760ch2 |
67760.s |
67760ch |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{3} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4620$ |
$16$ |
$0$ |
$7.500223714$ |
$1$ |
|
$2$ |
$194400$ |
$1.456495$ |
$-225637236736/1715$ |
$1.02937$ |
$4.14202$ |
$[0, -1, 0, -97445, -11675783]$ |
\(y^2=x^3-x^2-97445x-11675783\) |
3.4.0.a.1, 70.2.0.a.1, 132.8.0.?, 210.8.0.?, 4620.16.0.? |
$[(3437, 200606)]$ |
67760.s2 |
67760ch1 |
67760.s |
67760ch |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4620$ |
$16$ |
$0$ |
$2.500074571$ |
$1$ |
|
$2$ |
$64800$ |
$0.907188$ |
$-65536/875$ |
$0.97204$ |
$3.07486$ |
$[0, -1, 0, -645, -30743]$ |
\(y^2=x^3-x^2-645x-30743\) |
3.4.0.a.1, 70.2.0.a.1, 132.8.0.?, 210.8.0.?, 4620.16.0.? |
$[(49, 230)]$ |
67760.t1 |
67760s1 |
67760.t |
67760s |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{11} \cdot 5^{8} \cdot 7 \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$946176$ |
$2.298790$ |
$-356696720402/2734375$ |
$0.90816$ |
$4.80245$ |
$[0, -1, 0, -1122920, -460655600]$ |
\(y^2=x^3-x^2-1122920x-460655600\) |
56.2.0.b.1 |
$[ ]$ |
67760.u1 |
67760ci1 |
67760.u |
67760ci |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{17} \cdot 5^{4} \cdot 7^{7} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$0.285990361$ |
$1$ |
|
$6$ |
$7096320$ |
$3.232780$ |
$-57839429434456681/16470860000$ |
$0.98689$ |
$5.94206$ |
$[0, -1, 0, -77149640, 260914735600]$ |
\(y^2=x^3-x^2-77149640x+260914735600\) |
56.2.0.b.1 |
$[(1170, 415030)]$ |
67760.v1 |
67760a2 |
67760.v |
67760a |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 5^{6} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$1.121915198$ |
$1$ |
|
$7$ |
$92160$ |
$1.018303$ |
$3311744076/765625$ |
$0.96251$ |
$3.24045$ |
$[0, 0, 0, -3443, 60258]$ |
\(y^2=x^3-3443x+60258\) |
2.3.0.a.1, 44.6.0.a.1, 140.6.0.?, 1540.12.0.? |
$[(11, 154)]$ |
67760.v2 |
67760a1 |
67760.v |
67760a |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{8} \cdot 5^{3} \cdot 7 \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$2.243830397$ |
$1$ |
|
$5$ |
$46080$ |
$0.671729$ |
$10866423024/875$ |
$0.94670$ |
$3.22264$ |
$[0, 0, 0, -3223, 70422]$ |
\(y^2=x^3-3223x+70422\) |
2.3.0.a.1, 44.6.0.b.1, 140.6.0.?, 770.6.0.?, 1540.12.0.? |
$[(34, 12)]$ |
67760.w1 |
67760w2 |
67760.w |
67760w |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{26} \cdot 5^{2} \cdot 7^{6} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1935360$ |
$2.660263$ |
$73877525106256274859/48189030400$ |
$1.05406$ |
$5.50718$ |
$[0, 0, 0, -15385403, -23227966102]$ |
\(y^2=x^3-15385403x-23227966102\) |
2.3.0.a.1, 44.6.0.a.1, 140.6.0.?, 1540.12.0.? |
$[ ]$ |
67760.w2 |
67760w1 |
67760.w |
67760w |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{40} \cdot 5 \cdot 7^{3} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$967680$ |
$2.313686$ |
$18370278334948779/460366807040$ |
$1.09677$ |
$4.76108$ |
$[0, 0, 0, -967483, -358261398]$ |
\(y^2=x^3-967483x-358261398\) |
2.3.0.a.1, 44.6.0.b.1, 140.6.0.?, 770.6.0.?, 1540.12.0.? |
$[ ]$ |
67760.x1 |
67760c4 |
67760.x |
67760c |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{11} \cdot 5^{4} \cdot 7^{12} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11796480$ |
$3.663879$ |
$1881029584733429900898/1046747344575625$ |
$1.08697$ |
$6.38258$ |
$[0, 0, 0, -395171843, -3022165163358]$ |
\(y^2=x^3-395171843x-3022165163358\) |
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.v.1, $\ldots$ |
$[ ]$ |
67760.x2 |
67760c3 |
67760.x |
67760c |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{11} \cdot 5^{16} \cdot 7^{3} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11796480$ |
$3.663879$ |
$370972884164057659458/6332855224609375$ |
$1.02716$ |
$6.23664$ |
$[0, 0, 0, -230021363, 1322813016338]$ |
\(y^2=x^3-230021363x+1322813016338\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 88.24.0.?, $\ldots$ |
$[ ]$ |
67760.x3 |
67760c2 |
67760.x |
67760c |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 5^{8} \cdot 7^{6} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$5898240$ |
$3.317307$ |
$1509531602170901796/672851175390625$ |
$1.08878$ |
$5.67950$ |
$[0, 0, 0, -29146843, -29032328358]$ |
\(y^2=x^3-29146843x-29032328358\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 44.12.0-2.a.1.1, 56.24.0.d.1, $\ldots$ |
$[ ]$ |
67760.x4 |
67760c1 |
67760.x |
67760c |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 5^{4} \cdot 7^{3} \cdot 11^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$2.970734$ |
$60522147178827696/45953185114375$ |
$1.00569$ |
$5.26571$ |
$[0, 0, 0, 6284377, -3387211322]$ |
\(y^2=x^3+6284377x-3387211322\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[ ]$ |
67760.y1 |
67760v2 |
67760.y |
67760v |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 7^{8} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.136 |
2B |
$6160$ |
$192$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.587540$ |
$7020843884784/3603000625$ |
$1.00469$ |
$3.80437$ |
$[0, 0, 0, -27863, 602338]$ |
\(y^2=x^3-27863x+602338\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$ |
$[ ]$ |
67760.y2 |
67760v1 |
67760.y |
67760v |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{4} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.41 |
2B |
$6160$ |
$192$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.240967$ |
$1434065043456/937890625$ |
$1.32766$ |
$3.41233$ |
$[0, 0, 0, 6512, 72963]$ |
\(y^2=x^3+6512x+72963\) |
2.3.0.a.1, 4.12.0.e.1, 8.24.0.bs.1, 22.6.0.a.1, 44.24.0.e.1, $\ldots$ |
$[ ]$ |
67760.z1 |
67760x2 |
67760.z |
67760x |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{13} \cdot 5^{2} \cdot 7 \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1013760$ |
$2.154331$ |
$45844273539/350$ |
$0.98803$ |
$4.89470$ |
$[0, 0, 0, -1587883, 770145882]$ |
\(y^2=x^3-1587883x+770145882\) |
2.3.0.a.1, 220.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.? |
$[ ]$ |
67760.z2 |
67760x1 |
67760.z |
67760x |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{14} \cdot 5 \cdot 7^{2} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$506880$ |
$1.807756$ |
$-10503459/980$ |
$0.89181$ |
$4.15468$ |
$[0, 0, 0, -97163, 12561978]$ |
\(y^2=x^3-97163x+12561978\) |
2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.? |
$[ ]$ |
67760.ba1 |
67760ba4 |
67760.ba |
67760ba |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{13} \cdot 5^{2} \cdot 7^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$616$ |
$48$ |
$0$ |
$6.833601080$ |
$1$ |
|
$1$ |
$491520$ |
$1.931082$ |
$2121328796049/120050$ |
$1.01959$ |
$4.59272$ |
$[0, 0, 0, -518243, -143590942]$ |
\(y^2=x^3-518243x-143590942\) |
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.v.1, $\ldots$ |
$[(16687/3, 1959958/3)]$ |
67760.ba2 |
67760ba3 |
67760.ba |
67760ba |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{13} \cdot 5^{8} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$1.708400270$ |
$1$ |
|
$7$ |
$491520$ |
$1.931082$ |
$74565301329/5468750$ |
$0.99962$ |
$4.29173$ |
$[0, 0, 0, -169763, 25158562]$ |
\(y^2=x^3-169763x+25158562\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 88.24.0.?, $\ldots$ |
$[(297, 968)]$ |
67760.ba3 |
67760ba2 |
67760.ba |
67760ba |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{14} \cdot 5^{4} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$616$ |
$48$ |
$0$ |
$3.416800540$ |
$1$ |
|
$7$ |
$245760$ |
$1.584509$ |
$611960049/122500$ |
$1.02632$ |
$3.85998$ |
$[0, 0, 0, -34243, -1972542]$ |
\(y^2=x^3-34243x-1972542\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 44.12.0-2.a.1.1, 56.24.0.d.1, $\ldots$ |
$[(-129, 546)]$ |
67760.ba4 |
67760ba1 |
67760.ba |
67760ba |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{16} \cdot 5^{2} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$1.708400270$ |
$1$ |
|
$3$ |
$122880$ |
$1.237936$ |
$1367631/2800$ |
$1.00023$ |
$3.39500$ |
$[0, 0, 0, 4477, -183678]$ |
\(y^2=x^3+4477x-183678\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(231, 3630)]$ |