| 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 |
| 116928.a1 |
116928cw1 |
116928.a |
116928cw |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{17} \cdot 3^{9} \cdot 7 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$0.946252955$ |
$1$ |
|
$6$ |
$288768$ |
$0.932966$ |
$-39366/203$ |
$0.76945$ |
$2.96035$ |
$[0, 0, 0, -972, -36720]$ |
\(y^2=x^3-972x-36720\) |
4872.2.0.? |
$[(66, 432)]$ |
| 116928.b1 |
116928be2 |
116928.b |
116928be |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{16} \cdot 3^{8} \cdot 7 \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1.333409286$ |
$1$ |
|
$19$ |
$262144$ |
$1.086939$ |
$188183524/52983$ |
$0.95241$ |
$3.14800$ |
$[0, 0, 0, -4332, 78640]$ |
\(y^2=x^3-4332x+78640\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[(78, 464), (14, 144)]$ |
| 116928.b2 |
116928be1 |
116928.b |
116928be |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{14} \cdot 3^{7} \cdot 7^{2} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1.333409286$ |
$1$ |
|
$23$ |
$131072$ |
$0.740365$ |
$3286064/4263$ |
$0.74911$ |
$2.70088$ |
$[0, 0, 0, 708, 8080]$ |
\(y^2=x^3+708x+8080\) |
2.3.0.a.1, 28.6.0.b.1, 174.6.0.?, 2436.12.0.? |
$[(14, 144), (-4, 72)]$ |
| 116928.c1 |
116928do2 |
116928.c |
116928do |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7 \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$24360$ |
$48$ |
$1$ |
$28.46987507$ |
$1$ |
|
$0$ |
$576000$ |
$1.481464$ |
$-1099616058781696/143578043$ |
$1.03288$ |
$3.88922$ |
$[0, 0, 0, -77412, -8291050]$ |
\(y^2=x^3-77412x-8291050\) |
5.12.0.a.2, 120.24.0.?, 406.2.0.?, 2030.24.1.?, 24360.48.1.? |
$[(1685992650775/62511, 1518198778294529905/62511)]$ |
| 116928.c2 |
116928do1 |
116928.c |
116928do |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{5} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$24360$ |
$48$ |
$1$ |
$5.693975014$ |
$1$ |
|
$0$ |
$115200$ |
$0.676744$ |
$841232384/487403$ |
$1.28149$ |
$2.68233$ |
$[0, 0, 0, 708, -250]$ |
\(y^2=x^3+708x-250\) |
5.12.0.a.1, 120.24.0.?, 406.2.0.?, 2030.24.1.?, 24360.48.1.? |
$[(103/3, 2611/3)]$ |
| 116928.d1 |
116928bv2 |
116928.d |
116928bv |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{19} \cdot 3^{10} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1.457351993$ |
$1$ |
|
$7$ |
$1769472$ |
$1.968718$ |
$1626794704081/552715002$ |
$0.98712$ |
$4.04359$ |
$[0, 0, 0, -141132, 13113200]$ |
\(y^2=x^3-141132x+13113200\) |
2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.? |
$[(46, 2592)]$ |
| 116928.d2 |
116928bv1 |
116928.d |
116928bv |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{20} \cdot 3^{8} \cdot 7^{3} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$2.914703987$ |
$1$ |
|
$5$ |
$884736$ |
$1.622143$ |
$10063705679/10384668$ |
$0.96108$ |
$3.60780$ |
$[0, 0, 0, 25908, 1420400]$ |
\(y^2=x^3+25908x+1420400\) |
2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.? |
$[(8, 1276)]$ |
| 116928.e1 |
116928dp2 |
116928.e |
116928dp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{15} \cdot 3^{6} \cdot 7^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$0.602117983$ |
$1$ |
|
$11$ |
$245760$ |
$1.012627$ |
$6249839688/1421$ |
$0.97746$ |
$3.38878$ |
$[0, 0, 0, -11052, 447120]$ |
\(y^2=x^3-11052x+447120\) |
2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.? |
$[(66, 72)]$ |
| 116928.e2 |
116928dp1 |
116928.e |
116928dp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1.204235967$ |
$1$ |
|
$5$ |
$122880$ |
$0.666053$ |
$-8489664/5887$ |
$0.80426$ |
$2.71237$ |
$[0, 0, 0, -612, 8640]$ |
\(y^2=x^3-612x+8640\) |
2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.? |
$[(6, 72)]$ |
| 116928.f1 |
116928ez2 |
116928.f |
116928ez |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{19} \cdot 3^{10} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$0.874138287$ |
$1$ |
|
$7$ |
$1769472$ |
$1.968718$ |
$1626794704081/552715002$ |
$0.98712$ |
$4.04359$ |
$[0, 0, 0, -141132, -13113200]$ |
\(y^2=x^3-141132x-13113200\) |
2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.? |
$[(-142, 2016)]$ |
| 116928.f2 |
116928ez1 |
116928.f |
116928ez |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{20} \cdot 3^{8} \cdot 7^{3} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1.748276575$ |
$1$ |
|
$5$ |
$884736$ |
$1.622143$ |
$10063705679/10384668$ |
$0.96108$ |
$3.60780$ |
$[0, 0, 0, 25908, -1420400]$ |
\(y^2=x^3+25908x-1420400\) |
2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.? |
$[(108, 1624)]$ |
| 116928.g1 |
116928ek2 |
116928.g |
116928ek |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{15} \cdot 3^{6} \cdot 7^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.012627$ |
$6249839688/1421$ |
$0.97746$ |
$3.38878$ |
$[0, 0, 0, -11052, -447120]$ |
\(y^2=x^3-11052x-447120\) |
2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.? |
$[]$ |
| 116928.g2 |
116928ek1 |
116928.g |
116928ek |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$0.666053$ |
$-8489664/5887$ |
$0.80426$ |
$2.71237$ |
$[0, 0, 0, -612, -8640]$ |
\(y^2=x^3-612x-8640\) |
2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.? |
$[]$ |
| 116928.h1 |
116928ce2 |
116928.h |
116928ce |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7 \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$24360$ |
$48$ |
$1$ |
$5.024974239$ |
$1$ |
|
$2$ |
$576000$ |
$1.481464$ |
$-1099616058781696/143578043$ |
$1.03288$ |
$3.88922$ |
$[0, 0, 0, -77412, 8291050]$ |
\(y^2=x^3-77412x+8291050\) |
5.12.0.a.2, 120.24.0.?, 406.2.0.?, 2030.24.1.?, 24360.48.1.? |
$[(75, 1705)]$ |
| 116928.h2 |
116928ce1 |
116928.h |
116928ce |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{5} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$24360$ |
$48$ |
$1$ |
$1.004994847$ |
$1$ |
|
$2$ |
$115200$ |
$0.676744$ |
$841232384/487403$ |
$1.28149$ |
$2.68233$ |
$[0, 0, 0, 708, 250]$ |
\(y^2=x^3+708x+250\) |
5.12.0.a.1, 120.24.0.?, 406.2.0.?, 2030.24.1.?, 24360.48.1.? |
$[(3, 49)]$ |
| 116928.i1 |
116928ej2 |
116928.i |
116928ej |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{16} \cdot 3^{8} \cdot 7 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$262144$ |
$1.086939$ |
$188183524/52983$ |
$0.95241$ |
$3.14800$ |
$[0, 0, 0, -4332, -78640]$ |
\(y^2=x^3-4332x-78640\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[]$ |
| 116928.i2 |
116928ej1 |
116928.i |
116928ej |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{14} \cdot 3^{7} \cdot 7^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$131072$ |
$0.740365$ |
$3286064/4263$ |
$0.74911$ |
$2.70088$ |
$[0, 0, 0, 708, -8080]$ |
\(y^2=x^3+708x-8080\) |
2.3.0.a.1, 28.6.0.b.1, 174.6.0.?, 2436.12.0.? |
$[]$ |
| 116928.j1 |
116928t1 |
116928.j |
116928t |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{17} \cdot 3^{9} \cdot 7 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$1.683993164$ |
$1$ |
|
$2$ |
$288768$ |
$0.932966$ |
$-39366/203$ |
$0.76945$ |
$2.96035$ |
$[0, 0, 0, -972, 36720]$ |
\(y^2=x^3-972x+36720\) |
4872.2.0.? |
$[(-12, 216)]$ |
| 116928.k1 |
116928bt1 |
116928.k |
116928bt |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{26} \cdot 3^{6} \cdot 7^{2} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$8.343554794$ |
$1$ |
|
$0$ |
$368640$ |
$1.524075$ |
$-117433042273/363776$ |
$0.89932$ |
$3.81880$ |
$[0, 0, 0, -58764, -5497616]$ |
\(y^2=x^3-58764x-5497616\) |
116.2.0.? |
$[(20980/3, 3021704/3)]$ |
| 116928.l1 |
116928dx1 |
116928.l |
116928dx |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{22} \cdot 3^{6} \cdot 7^{2} \cdot 29^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1.151197746$ |
$1$ |
|
$14$ |
$552960$ |
$1.666092$ |
$-338608873/19120976$ |
$0.94038$ |
$3.71055$ |
$[0, 0, 0, -8364, 2923216]$ |
\(y^2=x^3-8364x+2923216\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 116.2.0.?, 348.8.0.?, 696.16.0.? |
$[(234, 3712), (60, 1624)]$ |
| 116928.l2 |
116928dx2 |
116928.l |
116928dx |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{30} \cdot 3^{6} \cdot 7^{6} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$10.36077971$ |
$1$ |
|
$6$ |
$1658880$ |
$2.215397$ |
$245667233447/13974818816$ |
$0.98609$ |
$4.27389$ |
$[0, 0, 0, 75156, -78224816]$ |
\(y^2=x^3+75156x-78224816\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 116.2.0.?, 348.8.0.?, 696.16.0.? |
$[(378, 2048), (3228, 183848)]$ |
| 116928.m1 |
116928bu1 |
116928.m |
116928bu |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{2} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1.575037027$ |
$1$ |
|
$2$ |
$50176$ |
$0.281761$ |
$-51478848/1421$ |
$0.77389$ |
$2.44692$ |
$[0, 0, 0, -279, 1836]$ |
\(y^2=x^3-279x+1836\) |
116.2.0.? |
$[(4, 28)]$ |
| 116928.n1 |
116928cn1 |
116928.n |
116928cn |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{22} \cdot 3^{6} \cdot 7^{2} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$1.666092$ |
$-338608873/19120976$ |
$0.94038$ |
$3.71055$ |
$[0, 0, 0, -8364, -2923216]$ |
\(y^2=x^3-8364x-2923216\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 696.16.0.? |
$[]$ |
| 116928.n2 |
116928cn2 |
116928.n |
116928cn |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{30} \cdot 3^{6} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$2.215397$ |
$245667233447/13974818816$ |
$0.98609$ |
$4.27389$ |
$[0, 0, 0, 75156, 78224816]$ |
\(y^2=x^3+75156x+78224816\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 696.16.0.? |
$[]$ |
| 116928.o1 |
116928co1 |
116928.o |
116928co |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{2} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$50176$ |
$0.281761$ |
$-51478848/1421$ |
$0.77389$ |
$2.44692$ |
$[0, 0, 0, -279, -1836]$ |
\(y^2=x^3-279x-1836\) |
116.2.0.? |
$[]$ |
| 116928.p1 |
116928ey1 |
116928.p |
116928ey |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{26} \cdot 3^{6} \cdot 7^{2} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1.094504098$ |
$1$ |
|
$4$ |
$368640$ |
$1.524075$ |
$-117433042273/363776$ |
$0.89932$ |
$3.81880$ |
$[0, 0, 0, -58764, 5497616]$ |
\(y^2=x^3-58764x+5497616\) |
116.2.0.? |
$[(290, 3584)]$ |
| 116928.q1 |
116928bs2 |
116928.q |
116928bs |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$3.035604388$ |
$1$ |
|
$3$ |
$106496$ |
$0.658802$ |
$119095488/1421$ |
$0.89642$ |
$2.87120$ |
$[0, 0, 0, -1476, -21600]$ |
\(y^2=x^3-1476x-21600\) |
2.3.0.a.1, 28.6.0.b.1, 58.6.0.a.1, 812.12.0.? |
$[(88, 728)]$ |
| 116928.q2 |
116928bs1 |
116928.q |
116928bs |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{6} \cdot 3^{6} \cdot 7 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1.517802194$ |
$1$ |
|
$3$ |
$53248$ |
$0.312228$ |
$11852352/5887$ |
$0.87899$ |
$2.31707$ |
$[0, 0, 0, -171, 324]$ |
\(y^2=x^3-171x+324\) |
2.3.0.a.1, 28.6.0.a.1, 116.6.0.?, 812.12.0.? |
$[(0, 18)]$ |
| 116928.r1 |
116928dw4 |
116928.r |
116928dw |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{18} \cdot 3^{9} \cdot 7^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.14 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6291456$ |
$2.879688$ |
$947531277805646290177/38367$ |
$1.01996$ |
$5.77315$ |
$[0, 0, 0, -117863436, 492511936016]$ |
\(y^2=x^3-117863436x+492511936016\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.6, 24.24.0-8.n.1.11, $\ldots$ |
$[]$ |
| 116928.r2 |
116928dw6 |
116928.r |
116928dw |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{18} \cdot 3^{30} \cdot 7 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.3 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$12582912$ |
$3.226261$ |
$8471112631466271697/1662662681263647$ |
$1.00847$ |
$5.36891$ |
$[0, 0, 0, -24462156, -37856255344]$ |
\(y^2=x^3-24462156x-37856255344\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 24.24.0-8.n.1.9, $\ldots$ |
$[]$ |
| 116928.r3 |
116928dw3 |
116928.r |
116928dw |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{18} \cdot 3^{18} \cdot 7^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$4872$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$6291456$ |
$2.879688$ |
$244883173420511137/18418027974129$ |
$1.08831$ |
$5.06524$ |
$[0, 0, 0, -7507596, 7385292560]$ |
\(y^2=x^3-7507596x+7385292560\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.i.1.18, 28.24.0.c.1, $\ldots$ |
$[]$ |
| 116928.r4 |
116928dw2 |
116928.r |
116928dw |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{18} \cdot 3^{12} \cdot 7^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$4872$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$3145728$ |
$2.533115$ |
$231331938231569617/1472026689$ |
$0.98909$ |
$5.06036$ |
$[0, 0, 0, -7366476, 7695474320]$ |
\(y^2=x^3-7366476x+7695474320\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.i.2.4, 56.48.0-56.m.1.2, $\ldots$ |
$[]$ |
| 116928.r5 |
116928dw1 |
116928.r |
116928dw |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{18} \cdot 3^{9} \cdot 7^{8} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.89 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1572864$ |
$2.186543$ |
$-53297461115137/4513839183$ |
$0.94722$ |
$4.35431$ |
$[0, 0, 0, -451596, 125063696]$ |
\(y^2=x^3-451596x+125063696\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 24.48.0-24.bz.1.5, 112.48.0.?, $\ldots$ |
$[]$ |
| 116928.r6 |
116928dw5 |
116928.r |
116928dw |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{18} \cdot 3^{12} \cdot 7 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.87 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$12582912$ |
$3.226261$ |
$215015459663151503/2552757445339983$ |
$1.02586$ |
$5.30871$ |
$[0, 0, 0, 7189044, 32775207824]$ |
\(y^2=x^3+7189044x+32775207824\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 14.6.0.b.1, 24.48.0-24.bz.2.13, $\ldots$ |
$[]$ |
| 116928.s1 |
116928dn4 |
116928.s |
116928dn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{17} \cdot 3^{18} \cdot 7 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$4872$ |
$48$ |
$0$ |
$5.074852344$ |
$1$ |
|
$3$ |
$786432$ |
$1.944469$ |
$38123958498194/107882523$ |
$0.93844$ |
$4.25450$ |
$[0, 0, 0, -320556, -69685040]$ |
\(y^2=x^3-320556x-69685040\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(-315, 185)]$ |
| 116928.s2 |
116928dn3 |
116928.s |
116928dn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{17} \cdot 3^{9} \cdot 7 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$4872$ |
$48$ |
$0$ |
$5.074852344$ |
$1$ |
|
$3$ |
$786432$ |
$1.944469$ |
$31373913421874/133676109$ |
$0.93716$ |
$4.23780$ |
$[0, 0, 0, -300396, 63137104]$ |
\(y^2=x^3-300396x+63137104\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(432, 3740)]$ |
| 116928.s3 |
116928dn2 |
116928.s |
116928dn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{16} \cdot 3^{12} \cdot 7^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$4872$ |
$48$ |
$0$ |
$2.537426172$ |
$1$ |
|
$9$ |
$393216$ |
$1.597897$ |
$52110563908/30041361$ |
$0.98148$ |
$3.62992$ |
$[0, 0, 0, -28236, -112880]$ |
\(y^2=x^3-28236x-112880\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 84.12.0.?, 168.24.0.?, 348.12.0.?, $\ldots$ |
$[(-91, 1305)]$ |
| 116928.s4 |
116928dn1 |
116928.s |
116928dn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{14} \cdot 3^{9} \cdot 7^{4} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$4872$ |
$48$ |
$0$ |
$1.268713086$ |
$1$ |
|
$5$ |
$196608$ |
$1.251324$ |
$3236192048/1879983$ |
$0.94412$ |
$3.27298$ |
$[0, 0, 0, 7044, -14096]$ |
\(y^2=x^3+7044x-14096\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 168.24.0.?, 174.6.0.?, $\ldots$ |
$[(26, 432)]$ |
| 116928.t1 |
116928br1 |
116928.t |
116928br |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{15} \cdot 3^{11} \cdot 7 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$1.110971750$ |
$1$ |
|
$2$ |
$112640$ |
$1.002098$ |
$37259704/49329$ |
$0.80801$ |
$2.97149$ |
$[0, 0, 0, 2004, -39184]$ |
\(y^2=x^3+2004x-39184\) |
4872.2.0.? |
$[(40, 324)]$ |
| 116928.u1 |
116928bq2 |
116928.u |
116928bq |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{14} \cdot 3^{10} \cdot 7 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1.520476105$ |
$1$ |
|
$5$ |
$196608$ |
$1.137197$ |
$830321872/476847$ |
$0.91238$ |
$3.15640$ |
$[0, 0, 0, -4476, -10064]$ |
\(y^2=x^3-4476x-10064\) |
2.3.0.a.1, 28.6.0.a.1, 116.6.0.?, 812.12.0.? |
$[(-40, 324)]$ |
| 116928.u2 |
116928bq1 |
116928.u |
116928bq |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{10} \cdot 3^{8} \cdot 7^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$3.040952210$ |
$1$ |
|
$3$ |
$98304$ |
$0.790624$ |
$4927700992/12789$ |
$0.89073$ |
$3.07141$ |
$[0, 0, 0, -3216, -70040]$ |
\(y^2=x^3-3216x-70040\) |
2.3.0.a.1, 28.6.0.b.1, 58.6.0.a.1, 812.12.0.? |
$[(78, 392)]$ |
| 116928.v1 |
116928bo4 |
116928.v |
116928bo |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{4} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$3.325043622$ |
$1$ |
|
$5$ |
$589824$ |
$1.678719$ |
$18807789559108/626661$ |
$0.92865$ |
$4.13455$ |
$[0, 0, 0, -201036, 34693360]$ |
\(y^2=x^3-201036x+34693360\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0.ba.1, 58.6.0.a.1, $\ldots$ |
$[(264, 140)]$ |
| 116928.v2 |
116928bo3 |
116928.v |
116928bo |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{16} \cdot 3^{8} \cdot 7 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$0.831260905$ |
$1$ |
|
$9$ |
$589824$ |
$1.678719$ |
$462859546468/44558703$ |
$0.90198$ |
$3.81708$ |
$[0, 0, 0, -58476, -4969424]$ |
\(y^2=x^3-58476x-4969424\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 28.12.0.h.1, 168.24.0.?, $\ldots$ |
$[(350, 4176)]$ |
| 116928.v3 |
116928bo2 |
116928.v |
116928bo |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{14} \cdot 3^{10} \cdot 7^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4872$ |
$48$ |
$0$ |
$1.662521811$ |
$1$ |
|
$11$ |
$294912$ |
$1.332144$ |
$20892021712/3337929$ |
$0.85901$ |
$3.43280$ |
$[0, 0, 0, -13116, 491920]$ |
\(y^2=x^3-13116x+491920\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0.a.1, 116.12.0.?, 168.24.0.?, $\ldots$ |
$[(32, 324)]$ |
| 116928.v4 |
116928bo1 |
116928.v |
116928bo |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{10} \cdot 3^{14} \cdot 7 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$3.325043622$ |
$1$ |
|
$3$ |
$147456$ |
$0.985571$ |
$464857088/1331883$ |
$0.87860$ |
$2.98684$ |
$[0, 0, 0, 1464, 42856]$ |
\(y^2=x^3+1464x+42856\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0.ba.1, 168.24.0.?, $\ldots$ |
$[(-6, 184)]$ |
| 116928.w1 |
116928dm2 |
116928.w |
116928dm |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$4.164414810$ |
$1$ |
|
$3$ |
$368640$ |
$1.437544$ |
$13854050788/3411821$ |
$0.87399$ |
$3.51639$ |
$[0, 0, 0, -18156, 713680]$ |
\(y^2=x^3-18156x+713680\) |
2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.? |
$[(108, 112)]$ |
| 116928.w2 |
116928dm1 |
116928.w |
116928dm |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{14} \cdot 3^{6} \cdot 7^{3} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$2.082207405$ |
$1$ |
|
$5$ |
$184320$ |
$1.090969$ |
$187153328/288463$ |
$0.82471$ |
$3.07233$ |
$[0, 0, 0, 2724, 70576]$ |
\(y^2=x^3+2724x+70576\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[(36, 464)]$ |
| 116928.x1 |
116928bn1 |
116928.x |
116928bn |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1.988428363$ |
$1$ |
|
$2$ |
$23040$ |
$0.052925$ |
$-681472/203$ |
$0.67529$ |
$2.10791$ |
$[0, 0, 0, -66, 254]$ |
\(y^2=x^3-66x+254\) |
406.2.0.? |
$[(5, 7)]$ |
| 116928.y1 |
116928j2 |
116928.y |
116928j |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( 2^{15} \cdot 3^{3} \cdot 7^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$696$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$0.929891$ |
$29161230552/41209$ |
$0.96456$ |
$3.23834$ |
$[0, 0, 0, -6156, -185680]$ |
\(y^2=x^3-6156x-185680\) |
2.3.0.a.1, 24.6.0.a.1, 232.6.0.?, 348.6.0.?, 696.12.0.? |
$[]$ |
| 116928.y2 |
116928j1 |
116928.y |
116928j |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{12} \cdot 3^{3} \cdot 7^{4} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$696$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$0.583317$ |
$-21024576/69629$ |
$0.80200$ |
$2.60344$ |
$[0, 0, 0, -276, -4576]$ |
\(y^2=x^3-276x-4576\) |
2.3.0.a.1, 24.6.0.d.1, 174.6.0.?, 232.6.0.?, 696.12.0.? |
$[]$ |
