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 |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
6720.a1 |
6720bj3 |
6720.a |
6720bj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 3 \cdot 5 \cdot 7 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$4.237719972$ |
$1$ |
|
$11$ |
$6144$ |
$0.610159$ |
$303735479048/105$ |
$[0, -1, 0, -4481, 116961]$ |
\(y^2=x^3-x^2-4481x+116961\) |
6720.a2 |
6720bj2 |
6720.a |
6720bj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1.059429993$ |
$1$ |
|
$35$ |
$3072$ |
$0.263586$ |
$601211584/11025$ |
$[0, -1, 0, -281, 1881]$ |
\(y^2=x^3-x^2-281x+1881\) |
6720.a3 |
6720bj1 |
6720.a |
6720bj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$4.237719972$ |
$1$ |
|
$5$ |
$1536$ |
$-0.082988$ |
$82881856/36015$ |
$[0, -1, 0, -36, -30]$ |
\(y^2=x^3-x^2-36x-30\) |
6720.a4 |
6720bj4 |
6720.a |
6720bj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{15} \cdot 3^{4} \cdot 5^{4} \cdot 7 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1.059429993$ |
$1$ |
|
$21$ |
$6144$ |
$0.610159$ |
$-8/354375$ |
$[0, -1, 0, -1, 5185]$ |
\(y^2=x^3-x^2-x+5185\) |
6720.b1 |
6720e4 |
6720.b |
6720e |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{16} \cdot 3^{2} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.97 |
2B |
$1.955123972$ |
$1$ |
|
$5$ |
$8192$ |
$0.981910$ |
$32779037733124/315$ |
$[0, -1, 0, -26881, 1705345]$ |
\(y^2=x^3-x^2-26881x+1705345\) |
6720.b2 |
6720e5 |
6720.b |
6720e |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{17} \cdot 3 \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.95 |
2B |
$3.910247944$ |
$1$ |
|
$5$ |
$16384$ |
$1.328484$ |
$14695548366242/57421875$ |
$[0, -1, 0, -25921, -1592255]$ |
\(y^2=x^3-x^2-25921x-1592255\) |
6720.b3 |
6720e3 |
6720.b |
6720e |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.20 |
2Cs |
$1.955123972$ |
$1$ |
|
$11$ |
$8192$ |
$0.981910$ |
$23366901604/13505625$ |
$[0, -1, 0, -2401, 2401]$ |
\(y^2=x^3-x^2-2401x+2401\) |
6720.b4 |
6720e2 |
6720.b |
6720e |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.21 |
2Cs |
$0.977561986$ |
$1$ |
|
$13$ |
$4096$ |
$0.635336$ |
$32082281296/99225$ |
$[0, -1, 0, -1681, 27025]$ |
\(y^2=x^3-x^2-1681x+27025\) |
6720.b5 |
6720e1 |
6720.b |
6720e |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.97 |
2B |
$1.955123972$ |
$1$ |
|
$3$ |
$2048$ |
$0.288763$ |
$-24918016/229635$ |
$[0, -1, 0, -61, 781]$ |
\(y^2=x^3-x^2-61x+781\) |
6720.b6 |
6720e6 |
6720.b |
6720e |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{17} \cdot 3 \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.95 |
2B |
$3.910247944$ |
$1$ |
|
$5$ |
$16384$ |
$1.328484$ |
$746185003198/432360075$ |
$[0, -1, 0, 9599, 9601]$ |
\(y^2=x^3-x^2+9599x+9601\) |
6720.c1 |
6720bi3 |
6720.c |
6720bi |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 3^{7} \cdot 5^{4} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1$ |
$36$ |
$2, 3$ |
$1$ |
$860160$ |
$3.106560$ |
$229625675762164624948320008/9568125$ |
$[0, -1, 0, -408240001, -3174701034815]$ |
\(y^2=x^3-x^2-408240001x-3174701034815\) |
6720.c2 |
6720bi2 |
6720.c |
6720bi |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{14} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1$ |
$9$ |
$3$ |
$3$ |
$430080$ |
$2.759987$ |
$448487713888272974160064/91549016015625$ |
$[0, -1, 0, -25515001, -49598319815]$ |
\(y^2=x^3-x^2-25515001x-49598319815\) |
6720.c3 |
6720bi4 |
6720.c |
6720bi |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{15} \cdot 3^{7} \cdot 5^{16} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1$ |
$9$ |
$3$ |
$1$ |
$860160$ |
$3.106560$ |
$-55486311952875723077768/801237030029296875$ |
$[0, -1, 0, -25427521, -49955395679]$ |
\(y^2=x^3-x^2-25427521x-49955395679\) |
6720.c4 |
6720bi1 |
6720.c |
6720bi |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{28} \cdot 5^{4} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1$ |
$9$ |
$3$ |
$1$ |
$215040$ |
$2.413414$ |
$7079962908642659949376/100085966990454375$ |
$[0, -1, 0, -1600156, -768989294]$ |
\(y^2=x^3-x^2-1600156x-768989294\) |
6720.d1 |
6720bf1 |
6720.d |
6720bf |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{5} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.557467$ |
$1248870793216/42525$ |
$[0, -1, 0, -2261, -40635]$ |
\(y^2=x^3-x^2-2261x-40635\) |
6720.d2 |
6720bf2 |
6720.d |
6720bf |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 3^{10} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.904040$ |
$-68150496976/14467005$ |
$[0, -1, 0, -2161, -44495]$ |
\(y^2=x^3-x^2-2161x-44495\) |
6720.e1 |
6720b1 |
6720.e |
6720b |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3 \cdot 5^{2} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1.126425553$ |
$1$ |
|
$5$ |
$768$ |
$-0.207640$ |
$1048576/525$ |
$[0, -1, 0, -21, 21]$ |
\(y^2=x^3-x^2-21x+21\) |
6720.e2 |
6720b2 |
6720.e |
6720b |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$0.563212776$ |
$1$ |
|
$9$ |
$1536$ |
$0.138933$ |
$3286064/2205$ |
$[0, -1, 0, 79, 81]$ |
\(y^2=x^3-x^2+79x+81\) |
6720.f1 |
6720be2 |
6720.f |
6720be |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.653162$ |
$16079333824/2953125$ |
$[0, -1, 0, -841, 8041]$ |
\(y^2=x^3-x^2-841x+8041\) |
6720.f2 |
6720be1 |
6720.f |
6720be |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{3} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.306589$ |
$1925134784/4465125$ |
$[0, -1, 0, 104, 670]$ |
\(y^2=x^3-x^2+104x+670\) |
6720.g1 |
6720a3 |
6720.g |
6720a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$4.828119405$ |
$1$ |
|
$3$ |
$12288$ |
$1.276119$ |
$608119035935048/826875$ |
$[0, -1, 0, -56481, -5147775]$ |
\(y^2=x^3-x^2-56481x-5147775\) |
6720.g2 |
6720a4 |
6720.g |
6720a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 3^{3} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$4.828119405$ |
$1$ |
|
$3$ |
$12288$ |
$1.276119$ |
$2428799546888/778248135$ |
$[0, -1, 0, -8961, 221121]$ |
\(y^2=x^3-x^2-8961x+221121\) |
6720.g3 |
6720a2 |
6720.g |
6720a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$2.414059702$ |
$1$ |
|
$9$ |
$6144$ |
$0.929545$ |
$1219555693504/43758225$ |
$[0, -1, 0, -3561, -78039]$ |
\(y^2=x^3-x^2-3561x-78039\) |
6720.g4 |
6720a1 |
6720.g |
6720a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 3^{12} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$4.828119405$ |
$1$ |
|
$3$ |
$3072$ |
$0.582972$ |
$1012048064/130203045$ |
$[0, -1, 0, 84, -4410]$ |
\(y^2=x^3-x^2+84x-4410\) |
6720.h1 |
6720bh5 |
6720.h |
6720bh |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{17} \cdot 3^{4} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.219 |
2B |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$1.564323$ |
$784478485879202/221484375$ |
$[0, -1, 0, -97601, 11765985]$ |
\(y^2=x^3-x^2-97601x+11765985\) |
6720.h2 |
6720bh3 |
6720.h |
6720bh |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.85 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$16384$ |
$1.217749$ |
$549871953124/200930625$ |
$[0, -1, 0, -6881, 135681]$ |
\(y^2=x^3-x^2-6881x+135681\) |
6720.h3 |
6720bh2 |
6720.h |
6720bh |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.130 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$8192$ |
$0.871176$ |
$175293437776/4862025$ |
$[0, -1, 0, -2961, -59535]$ |
\(y^2=x^3-x^2-2961x-59535\) |
6720.h4 |
6720bh1 |
6720.h |
6720bh |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.185 |
2B |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.524602$ |
$2748251600896/2205$ |
$[0, -1, 0, -2941, -60419]$ |
\(y^2=x^3-x^2-2941x-60419\) |
6720.h5 |
6720bh4 |
6720.h |
6720bh |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{16} \cdot 3^{2} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.225 |
2B |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$1.217749$ |
$439608956/259416045$ |
$[0, -1, 0, 639, -198495]$ |
\(y^2=x^3-x^2+639x-198495\) |
6720.h6 |
6720bh6 |
6720.h |
6720bh |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{17} \cdot 3^{16} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.192 |
2B |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$1.564323$ |
$7947184069438/7533176175$ |
$[0, -1, 0, 21119, 936481]$ |
\(y^2=x^3-x^2+21119x+936481\) |
6720.i1 |
6720d4 |
6720.i |
6720d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{4} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$0.542099284$ |
$1$ |
|
$11$ |
$4096$ |
$0.693764$ |
$68017239368/39375$ |
$[0, -1, 0, -2721, 55521]$ |
\(y^2=x^3-x^2-2721x+55521\) |
6720.i2 |
6720d3 |
6720.i |
6720d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 3^{8} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2.168397137$ |
$1$ |
|
$5$ |
$4096$ |
$0.693764$ |
$13858588808/229635$ |
$[0, -1, 0, -1601, -23775]$ |
\(y^2=x^3-x^2-1601x-23775\) |
6720.i3 |
6720d2 |
6720.i |
6720d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1.084198568$ |
$1$ |
|
$11$ |
$2048$ |
$0.347190$ |
$220348864/99225$ |
$[0, -1, 0, -201, 585]$ |
\(y^2=x^3-x^2-201x+585\) |
6720.i4 |
6720d1 |
6720.i |
6720d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2.168397137$ |
$1$ |
|
$3$ |
$1024$ |
$0.000616$ |
$143877824/108045$ |
$[0, -1, 0, 44, 46]$ |
\(y^2=x^3-x^2+44x+46\) |
6720.j1 |
6720c7 |
6720.j |
6720c |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{19} \cdot 3 \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.279 |
2B |
$36.14462472$ |
$1$ |
|
$1$ |
$393216$ |
$2.834148$ |
$783736670177727068275201/360150$ |
$[0, -1, 0, -122931201, -524574745599]$ |
\(y^2=x^3-x^2-122931201x-524574745599\) |
6720.j2 |
6720c5 |
6720.j |
6720c |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.153 |
2Cs |
$18.07231236$ |
$1$ |
|
$3$ |
$196608$ |
$2.487576$ |
$191342053882402567201/129708022500$ |
$[0, -1, 0, -7683201, -8194556799]$ |
\(y^2=x^3-x^2-7683201x-8194556799\) |
6720.j3 |
6720c8 |
6720.j |
6720c |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{19} \cdot 3 \cdot 5^{2} \cdot 7^{16} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.279 |
2B |
$36.14462472$ |
$1$ |
|
$1$ |
$393216$ |
$2.834148$ |
$-187778242790732059201/4984939585440150$ |
$[0, -1, 0, -7635201, -8302047999]$ |
\(y^2=x^3-x^2-7635201x-8302047999\) |
6720.j4 |
6720c4 |
6720.j |
6720c |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{22} \cdot 3^{16} \cdot 5^{2} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.253 |
2B |
$2.259039045$ |
$1$ |
|
$3$ |
$98304$ |
$2.141003$ |
$378499465220294881/120530818800$ |
$[0, -1, 0, -964481, 364797825]$ |
\(y^2=x^3-x^2-964481x+364797825\) |
6720.j5 |
6720c3 |
6720.j |
6720c |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{22} \cdot 3^{4} \cdot 5^{8} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.88 |
2Cs |
$9.036156180$ |
$1$ |
|
$3$ |
$98304$ |
$2.141003$ |
$47595748626367201/1215506250000$ |
$[0, -1, 0, -483201, -126236799]$ |
\(y^2=x^3-x^2-483201x-126236799\) |
6720.j6 |
6720c2 |
6720.j |
6720c |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{26} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.130 |
2Cs |
$4.518078090$ |
$1$ |
|
$7$ |
$49152$ |
$1.794430$ |
$135487869158881/51438240000$ |
$[0, -1, 0, -68481, 4068225]$ |
\(y^2=x^3-x^2-68481x+4068225\) |
6720.j7 |
6720c1 |
6720.j |
6720c |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{34} \cdot 3^{4} \cdot 5^{2} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.253 |
2B |
$2.259039045$ |
$1$ |
|
$5$ |
$24576$ |
$1.447855$ |
$1023887723039/928972800$ |
$[0, -1, 0, 13439, 447361]$ |
\(y^2=x^3-x^2+13439x+447361\) |
6720.j8 |
6720c6 |
6720.j |
6720c |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{20} \cdot 3^{2} \cdot 5^{16} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.188 |
2B |
$4.518078090$ |
$1$ |
|
$3$ |
$196608$ |
$2.487576$ |
$226523624554079/269165039062500$ |
$[0, -1, 0, 81279, -404073855]$ |
\(y^2=x^3-x^2+81279x-404073855\) |
6720.k1 |
6720bg5 |
6720.k |
6720bg |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{19} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.192 |
2B |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.776478$ |
$524388516989299201/3150$ |
$[0, -1, 0, -1075201, 429482401]$ |
\(y^2=x^3-x^2-1075201x+429482401\) |
6720.k2 |
6720bg4 |
6720.k |
6720bg |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.85 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.429905$ |
$128031684631201/9922500$ |
$[0, -1, 0, -67201, 6727201]$ |
\(y^2=x^3-x^2-67201x+6727201\) |
6720.k3 |
6720bg6 |
6720.k |
6720bg |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{19} \cdot 3^{8} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.219 |
2B |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.776478$ |
$-104094944089921/35880468750$ |
$[0, -1, 0, -62721, 7658145]$ |
\(y^2=x^3-x^2-62721x+7658145\) |
6720.k4 |
6720bg3 |
6720.k |
6720bg |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{20} \cdot 3 \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.225 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$24576$ |
$1.429905$ |
$5602762882081/345888060$ |
$[0, -1, 0, -23681, -1317855]$ |
\(y^2=x^3-x^2-23681x-1317855\) |
6720.k5 |
6720bg2 |
6720.k |
6720bg |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.130 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$1.083330$ |
$37966934881/8643600$ |
$[0, -1, 0, -4481, 91425]$ |
\(y^2=x^3-x^2-4481x+91425\) |
6720.k6 |
6720bg1 |
6720.k |
6720bg |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{26} \cdot 3 \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.185 |
2B |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.736757$ |
$109902239/188160$ |
$[0, -1, 0, 639, 8481]$ |
\(y^2=x^3-x^2+639x+8481\) |
6720.l1 |
6720bk2 |
6720.l |
6720bk |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3 \cdot 5^{2} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.729763$ |
$4446542056384/25725$ |
$[0, -1, 0, -5481, 158025]$ |
\(y^2=x^3-x^2-5481x+158025\) |
6720.l2 |
6720bk1 |
6720.l |
6720bk |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.383189$ |
$-65743598656/5294205$ |
$[0, -1, 0, -336, 2646]$ |
\(y^2=x^3-x^2-336x+2646\) |