| 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 |
| 16800.a1 |
16800f3 |
16800.a |
16800f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{9} \cdot 7 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$280$ |
$48$ |
$0$ |
$5.905893491$ |
$1$ |
|
$3$ |
$147456$ |
$1.980682$ |
$128025588102048008/7875$ |
$1.02392$ |
$5.68252$ |
$[0, -1, 0, -2100008, 1172031012]$ |
\(y^2=x^3-x^2-2100008x+1172031012\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.4, 56.24.0-56.y.1.15, 280.48.0.? |
$[(3469/2, 12199/2)]$ |
| 16800.a2 |
16800f2 |
16800.a |
16800f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{18} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$280$ |
$48$ |
$0$ |
$5.905893491$ |
$1$ |
|
$3$ |
$147456$ |
$1.980682$ |
$43919722445768/15380859375$ |
$1.00022$ |
$4.86254$ |
$[0, -1, 0, -147008, 13681512]$ |
\(y^2=x^3-x^2-147008x+13681512\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$ |
$[(61, 2222)]$ |
| 16800.a3 |
16800f1 |
16800.a |
16800f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{12} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$280$ |
$48$ |
$0$ |
$2.952946745$ |
$1$ |
|
$7$ |
$73728$ |
$1.634108$ |
$250094631024064/62015625$ |
$1.00620$ |
$4.82760$ |
$[0, -1, 0, -131258, 18343512]$ |
\(y^2=x^3-x^2-131258x+18343512\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 56.24.0-56.b.1.7, 280.48.0.? |
$[(86, 2772)]$ |
| 16800.a4 |
16800f4 |
16800.a |
16800f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{9} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$280$ |
$48$ |
$0$ |
$1.476473372$ |
$1$ |
|
$5$ |
$147456$ |
$1.980682$ |
$-2671731885376/1969120125$ |
$0.99342$ |
$4.87294$ |
$[0, -1, 0, -115633, 22859137]$ |
\(y^2=x^3-x^2-115633x+22859137\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 56.24.0-56.y.1.7, 280.48.0.? |
$[(-168, 6125)]$ |
| 16800.b1 |
16800e2 |
16800.b |
16800e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{5} \cdot 5^{9} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$21.62678691$ |
$1$ |
|
$1$ |
$368640$ |
$2.409607$ |
$7347751505995469192/72930375$ |
$1.03884$ |
$6.09878$ |
$[0, -1, 0, -8100408, -8871076188]$ |
\(y^2=x^3-x^2-8100408x-8871076188\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(15967842209/893, 1996095200124074/893)]$ |
| 16800.b2 |
16800e3 |
16800.b |
16800e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{20} \cdot 5^{9} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$21.62678691$ |
$1$ |
|
$1$ |
$368640$ |
$2.409607$ |
$5276930158229192/3050936350875$ |
$1.12642$ |
$5.35475$ |
$[0, -1, 0, -725408, -7013688]$ |
\(y^2=x^3-x^2-725408x-7013688\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 140.12.0.?, $\ldots$ |
$[(12104279637/779, 1330457607388950/779)]$ |
| 16800.b3 |
16800e1 |
16800.b |
16800e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{12} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$10.81339345$ |
$1$ |
|
$3$ |
$184320$ |
$2.063034$ |
$14383655824793536/45209390625$ |
$1.02661$ |
$5.24408$ |
$[0, -1, 0, -506658, -138263688]$ |
\(y^2=x^3-x^2-506658x-138263688\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 84.12.0.?, 120.24.0.?, $\ldots$ |
$[(-715858/41, 20449700/41)]$ |
| 16800.b4 |
16800e4 |
16800.b |
16800e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{18} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$840$ |
$48$ |
$0$ |
$21.62678691$ |
$1$ |
|
$1$ |
$368640$ |
$2.409607$ |
$-43927191786304/415283203125$ |
$1.04567$ |
$5.36952$ |
$[0, -1, 0, -294033, -255420063]$ |
\(y^2=x^3-x^2-294033x-255420063\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.1, 84.12.0.?, $\ldots$ |
$[(3225289139/1927, 85777554302344/1927)]$ |
| 16800.c1 |
16800bf3 |
16800.c |
16800bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{5} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$368640$ |
$2.314976$ |
$864335783029582144/59535$ |
$1.06386$ |
$6.09254$ |
$[0, -1, 0, -7938033, 8610947937]$ |
\(y^2=x^3-x^2-7938033x+8610947937\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.13, 40.24.0-40.bb.1.2, 60.24.0-60.h.1.3, $\ldots$ |
$[]$ |
| 16800.c2 |
16800bf2 |
16800.c |
16800bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{20} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$2.314976$ |
$2394165105226952/854262178245$ |
$1.02106$ |
$5.27352$ |
$[0, -1, 0, -557408, 99372312]$ |
\(y^2=x^3-x^2-557408x+99372312\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.5, 40.24.0-40.v.1.1, 120.48.0.? |
$[]$ |
| 16800.c3 |
16800bf1 |
16800.c |
16800bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$184320$ |
$1.968403$ |
$13507798771700416/3544416225$ |
$1.04886$ |
$5.23762$ |
$[0, -1, 0, -496158, 134652312]$ |
\(y^2=x^3-x^2-496158x+134652312\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.6, 40.24.0-40.a.1.4, 60.24.0-60.a.1.1, $\ldots$ |
$[]$ |
| 16800.c4 |
16800bf4 |
16800.c |
16800bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{9} \cdot 3^{5} \cdot 5^{10} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$2.314976$ |
$-1141100604753992/875529151875$ |
$1.01539$ |
$5.28411$ |
$[0, -1, 0, -435408, 168793812]$ |
\(y^2=x^3-x^2-435408x+168793812\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.v.1.6, 40.24.0-40.bb.1.5, $\ldots$ |
$[]$ |
| 16800.d1 |
16800be2 |
16800.d |
16800be |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{6} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$76800$ |
$1.613375$ |
$92100460096/20253807$ |
$1.03479$ |
$4.44238$ |
$[0, -1, 0, -37633, 2225137]$ |
\(y^2=x^3-x^2-37633x+2225137\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[]$ |
| 16800.d2 |
16800be1 |
16800.d |
16800be |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{6} \cdot 3^{5} \cdot 5^{6} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$38400$ |
$1.266800$ |
$15926924096/28588707$ |
$1.04804$ |
$3.91089$ |
$[0, -1, 0, 5242, 210012]$ |
\(y^2=x^3-x^2+5242x+210012\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[]$ |
| 16800.e1 |
16800c1 |
16800.e |
16800c |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{10} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$11.11567714$ |
$1$ |
|
$0$ |
$137280$ |
$1.895399$ |
$1987675000/11160261$ |
$1.08802$ |
$4.71846$ |
$[0, -1, 0, 44792, -10778588]$ |
\(y^2=x^3-x^2+44792x-10778588\) |
168.2.0.? |
$[(108624/13, 36967774/13)]$ |
| 16800.f1 |
16800a2 |
16800.f |
16800a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$280$ |
$48$ |
$0$ |
$3.688094279$ |
$1$ |
|
$3$ |
$16384$ |
$0.903666$ |
$1036433728/63$ |
$1.07156$ |
$3.98118$ |
$[0, -1, 0, -8433, -295263]$ |
\(y^2=x^3-x^2-8433x-295263\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 20.12.0-4.c.1.1, 28.12.0.h.1, $\ldots$ |
$[(347, 6200)]$ |
| 16800.f2 |
16800a3 |
16800.f |
16800a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{6} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$0.922023569$ |
$1$ |
|
$7$ |
$16384$ |
$0.903666$ |
$306182024/21609$ |
$0.95815$ |
$3.64212$ |
$[0, -1, 0, -2808, 54612]$ |
\(y^2=x^3-x^2-2808x+54612\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.2, 40.24.0-8.k.1.2, $\ldots$ |
$[(12, 150)]$ |
| 16800.f3 |
16800a1 |
16800.f |
16800a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$280$ |
$48$ |
$0$ |
$1.844047139$ |
$1$ |
|
$9$ |
$8192$ |
$0.557092$ |
$19248832/3969$ |
$1.05560$ |
$3.14401$ |
$[0, -1, 0, -558, -3888]$ |
\(y^2=x^3-x^2-558x-3888\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 28.12.0.a.1, 40.24.0-8.a.1.1, $\ldots$ |
$[(-9, 18)]$ |
| 16800.f4 |
16800a4 |
16800.f |
16800a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{9} \cdot 3^{8} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$280$ |
$48$ |
$0$ |
$3.688094279$ |
$1$ |
|
$3$ |
$16384$ |
$0.903666$ |
$23393656/45927$ |
$1.19818$ |
$3.46745$ |
$[0, -1, 0, 1192, -24888]$ |
\(y^2=x^3-x^2+1192x-24888\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 40.24.0-8.p.1.2, 56.24.0.bt.1, $\ldots$ |
$[(341, 6318)]$ |
| 16800.g1 |
16800m1 |
16800.g |
16800m |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{4} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27456$ |
$1.090681$ |
$1987675000/11160261$ |
$1.08802$ |
$3.72591$ |
$[0, -1, 0, 1792, 85512]$ |
\(y^2=x^3-x^2+1792x+85512\) |
168.2.0.? |
$[]$ |
| 16800.h1 |
16800bd1 |
16800.h |
16800bd |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3 \cdot 5^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.471728$ |
$31554496/525$ |
$0.88154$ |
$3.19481$ |
$[0, -1, 0, -658, -6188]$ |
\(y^2=x^3-x^2-658x-6188\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[]$ |
| 16800.h2 |
16800bd2 |
16800.h |
16800bd |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$0.818301$ |
$-64/2205$ |
$1.16244$ |
$3.40499$ |
$[0, -1, 0, -33, -18063]$ |
\(y^2=x^3-x^2-33x-18063\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
| 16800.i1 |
16800b2 |
16800.i |
16800b |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.150244301$ |
$1$ |
|
$7$ |
$9216$ |
$0.594175$ |
$1000000/63$ |
$1.02461$ |
$3.26750$ |
$[0, -1, 0, -833, -8463]$ |
\(y^2=x^3-x^2-833x-8463\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[(-19, 12)]$ |
| 16800.i2 |
16800b1 |
16800.i |
16800b |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{6} \cdot 3 \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$2.300488603$ |
$1$ |
|
$5$ |
$4608$ |
$0.247602$ |
$8000/147$ |
$0.94365$ |
$2.69589$ |
$[0, -1, 0, 42, -588]$ |
\(y^2=x^3-x^2+42x-588\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[(8, 14)]$ |
| 16800.j1 |
16800d3 |
16800.j |
16800d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{4} \cdot 5^{7} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$3.305288464$ |
$1$ |
|
$3$ |
$24576$ |
$0.974987$ |
$11512557512/2835$ |
$0.92005$ |
$4.01492$ |
$[0, -1, 0, -9408, 354312]$ |
\(y^2=x^3-x^2-9408x+354312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 140.12.0.?, $\ldots$ |
$[(157, 1650)]$ |
| 16800.j2 |
16800d2 |
16800.j |
16800d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3 \cdot 5^{7} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$3.305288464$ |
$1$ |
|
$3$ |
$24576$ |
$0.974987$ |
$1184287112/36015$ |
$1.05323$ |
$3.78115$ |
$[0, -1, 0, -4408, -108188]$ |
\(y^2=x^3-x^2-4408x-108188\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(153, 1666)]$ |
| 16800.j3 |
16800d1 |
16800.j |
16800d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1.652644232$ |
$1$ |
|
$9$ |
$12288$ |
$0.628413$ |
$31554496/11025$ |
$0.86726$ |
$3.19481$ |
$[0, -1, 0, -658, 4312]$ |
\(y^2=x^3-x^2-658x+4312\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 84.12.0.?, 120.24.0.?, $\ldots$ |
$[(28, 84)]$ |
| 16800.j4 |
16800d4 |
16800.j |
16800d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{12} \cdot 3 \cdot 5^{10} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$840$ |
$48$ |
$0$ |
$3.305288464$ |
$1$ |
|
$3$ |
$24576$ |
$0.974987$ |
$13144256/13125$ |
$0.87001$ |
$3.53227$ |
$[0, -1, 0, 1967, 27937]$ |
\(y^2=x^3-x^2+1967x+27937\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.1, 84.12.0.?, $\ldots$ |
$[(3, 184)]$ |
| 16800.k1 |
16800bq1 |
16800.k |
16800bq |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3 \cdot 5^{3} \cdot 7 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.905080651$ |
$1$ |
|
$9$ |
$4096$ |
$-0.051343$ |
$36594368/21$ |
$1.07507$ |
$2.71377$ |
$[0, -1, 0, -138, 672]$ |
\(y^2=x^3-x^2-138x+672\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(8, 4), (-13, 10)]$ |
| 16800.k2 |
16800bq2 |
16800.k |
16800bq |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{3} \cdot 7^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.476270162$ |
$1$ |
|
$29$ |
$8192$ |
$0.295230$ |
$-314432/441$ |
$0.84263$ |
$2.77880$ |
$[0, -1, 0, -113, 897]$ |
\(y^2=x^3-x^2-113x+897\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(1, 28), (8, 21)]$ |
| 16800.l1 |
16800l1 |
16800.l |
16800l |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3 \cdot 5^{8} \cdot 7^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.951441307$ |
$1$ |
|
$17$ |
$46080$ |
$1.187908$ |
$4446542056384/25725$ |
$1.10048$ |
$4.41341$ |
$[0, -1, 0, -34258, 2452012]$ |
\(y^2=x^3-x^2-34258x+2452012\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[(87, 350), (108, 14)]$ |
| 16800.l2 |
16800l2 |
16800.l |
16800l |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{7} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.237860326$ |
$1$ |
|
$41$ |
$92160$ |
$1.534481$ |
$-65743598656/5294205$ |
$1.08536$ |
$4.42112$ |
$[0, -1, 0, -33633, 2545137]$ |
\(y^2=x^3-x^2-33633x+2545137\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(32, 1225), (81, 588)]$ |
| 16800.m1 |
16800bj2 |
16800.m |
16800bj |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{12} \cdot 5^{9} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$7.515081468$ |
$1$ |
|
$1$ |
$221184$ |
$2.217281$ |
$60910917333827912/3255076125$ |
$1.02087$ |
$5.60617$ |
$[0, -1, 0, -1639408, -807355688]$ |
\(y^2=x^3-x^2-1639408x-807355688\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.5, 40.24.0-40.v.1.1, 120.48.0.? |
$[(-26627/6, 41041/6)]$ |
| 16800.m2 |
16800bj3 |
16800.m |
16800bj |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{9} \cdot 7^{8} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$1.878770367$ |
$1$ |
|
$9$ |
$221184$ |
$2.217281$ |
$257307998572864/19456203375$ |
$1.03370$ |
$5.25799$ |
$[0, -1, 0, -530033, 138659937]$ |
\(y^2=x^3-x^2-530033x+138659937\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.13, 40.24.0-40.bb.1.2, 60.24.0-60.h.1.3, $\ldots$ |
$[(157, 7700)]$ |
| 16800.m3 |
16800bj1 |
16800.m |
16800bj |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{12} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$3.757540734$ |
$1$ |
|
$7$ |
$110592$ |
$1.870707$ |
$139927692143296/27348890625$ |
$1.03575$ |
$4.76791$ |
$[0, -1, 0, -108158, -11105688]$ |
\(y^2=x^3-x^2-108158x-11105688\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.6, 40.24.0-40.a.1.4, 60.24.0-60.a.1.1, $\ldots$ |
$[(-132, 924)]$ |
| 16800.m4 |
16800bj4 |
16800.m |
16800bj |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{18} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$120$ |
$48$ |
$0$ |
$7.515081468$ |
$1$ |
|
$3$ |
$221184$ |
$2.217281$ |
$152461584507448/322998046875$ |
$1.01781$ |
$5.09105$ |
$[0, -1, 0, 222592, -66010188]$ |
\(y^2=x^3-x^2+222592x-66010188\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.v.1.6, 40.24.0-40.bb.1.5, $\ldots$ |
$[(4593, 312774)]$ |
| 16800.n1 |
16800bo2 |
16800.n |
16800bo |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{9} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.290581$ |
$65939264/1323$ |
$0.90084$ |
$4.19430$ |
$[0, -1, 0, -16833, 831537]$ |
\(y^2=x^3-x^2-16833x+831537\) |
2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.? |
$[]$ |
| 16800.n2 |
16800bo1 |
16800.n |
16800bo |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{9} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$0.944007$ |
$64/5103$ |
$1.21170$ |
$3.56004$ |
$[0, -1, 0, 42, 38412]$ |
\(y^2=x^3-x^2+42x+38412\) |
2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
| 16800.o1 |
16800bi3 |
16800.o |
16800bi |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{10} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$280$ |
$48$ |
$0$ |
$1.090585059$ |
$1$ |
|
$7$ |
$24576$ |
$1.151909$ |
$68017239368/39375$ |
$0.93705$ |
$4.19749$ |
$[0, -1, 0, -17008, 859012]$ |
\(y^2=x^3-x^2-17008x+859012\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.ba.1.10, $\ldots$ |
$[(72, 50)]$ |
| 16800.o2 |
16800bi2 |
16800.o |
16800bi |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{8} \cdot 5^{7} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$280$ |
$48$ |
$0$ |
$4.362340239$ |
$1$ |
|
$1$ |
$24576$ |
$1.151909$ |
$13858588808/229635$ |
$0.92250$ |
$4.03398$ |
$[0, -1, 0, -10008, -376488]$ |
\(y^2=x^3-x^2-10008x-376488\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.12, 56.24.0-56.y.1.7, 280.48.0.? |
$[(477/2, 2673/2)]$ |
| 16800.o3 |
16800bi1 |
16800.o |
16800bi |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$280$ |
$48$ |
$0$ |
$2.181170119$ |
$1$ |
|
$7$ |
$12288$ |
$0.805335$ |
$220348864/99225$ |
$0.91532$ |
$3.39457$ |
$[0, -1, 0, -1258, 8512]$ |
\(y^2=x^3-x^2-1258x+8512\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.1, 56.24.0-56.b.1.7, 280.48.0.? |
$[(88, 756)]$ |
| 16800.o4 |
16800bi4 |
16800.o |
16800bi |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{7} \cdot 7^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$280$ |
$48$ |
$0$ |
$1.090585059$ |
$1$ |
|
$13$ |
$24576$ |
$1.151909$ |
$143877824/108045$ |
$0.91686$ |
$3.77823$ |
$[0, -1, 0, 4367, 59137]$ |
\(y^2=x^3-x^2+4367x+59137\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 20.24.0-20.h.1.2, 56.24.0-56.y.1.15, 280.48.0.? |
$[(1, 252)]$ |
| 16800.p1 |
16800k2 |
16800.p |
16800k |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3 \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$16384$ |
$0.746086$ |
$2438569736/21$ |
$0.97593$ |
$3.85539$ |
$[0, -1, 0, -5608, -159788]$ |
\(y^2=x^3-x^2-5608x-159788\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.5, 56.12.0.ba.1, $\ldots$ |
$[]$ |
| 16800.p2 |
16800k3 |
16800.p |
16800k |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$0.746086$ |
$3241792/567$ |
$0.96732$ |
$3.38838$ |
$[0, -1, 0, -1233, 14337]$ |
\(y^2=x^3-x^2-1233x+14337\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.bb.1, 28.12.0.h.1, $\ldots$ |
$[]$ |
| 16800.p3 |
16800k1 |
16800.p |
16800k |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$8192$ |
$0.399512$ |
$5088448/441$ |
$0.96662$ |
$3.00726$ |
$[0, -1, 0, -358, -2288]$ |
\(y^2=x^3-x^2-358x-2288\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.a.1, 28.12.0.a.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 16800.p4 |
16800k4 |
16800.p |
16800k |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{9} \cdot 3 \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$0.746086$ |
$830584/7203$ |
$0.97109$ |
$3.30583$ |
$[0, -1, 0, 392, -11288]$ |
\(y^2=x^3-x^2+392x-11288\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.v.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
| 16800.q1 |
16800bl1 |
16800.q |
16800bl |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{9} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$552960$ |
$2.553589$ |
$10713357105862263488/137781$ |
$1.16421$ |
$6.42008$ |
$[0, -1, 0, -22963458, 42362592912]$ |
\(y^2=x^3-x^2-22963458x+42362592912\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[]$ |
| 16800.q2 |
16800bl2 |
16800.q |
16800bl |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{12} \cdot 3^{18} \cdot 5^{9} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$2.900162$ |
$-167382537005851712/18983603961$ |
$1.06184$ |
$6.42009$ |
$[0, -1, 0, -22962833, 42365013537]$ |
\(y^2=x^3-x^2-22962833x+42365013537\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
| 16800.r1 |
16800bm1 |
16800.r |
16800bm |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25920$ |
$1.118555$ |
$-207108680/9261$ |
$0.89888$ |
$3.94043$ |
$[0, -1, 0, -7208, -242088]$ |
\(y^2=x^3-x^2-7208x-242088\) |
168.2.0.? |
$[]$ |
| 16800.s1 |
16800g2 |
16800.s |
16800g |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$73728$ |
$1.734264$ |
$608119035935048/826875$ |
$0.99937$ |
$5.13266$ |
$[0, -1, 0, -353008, -80610488]$ |
\(y^2=x^3-x^2-353008x-80610488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 24.24.0-24.s.1.6, $\ldots$ |
$[]$ |
