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 |
312.a1 |
312d3 |
312.a |
312d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.57 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$128$ |
$0.302834$ |
$3044193988/85293$ |
$0.95679$ |
$5.00922$ |
$[0, -1, 0, -304, -1892]$ |
\(y^2=x^3-x^2-304x-1892\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 26.6.0.b.1, 48.48.0-48.i.1.8, $\ldots$ |
$[]$ |
624.f1 |
624f3 |
624.f |
624f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.47 |
2B |
$624$ |
$192$ |
$3$ |
$0.555102147$ |
$1$ |
|
$17$ |
$256$ |
$0.302834$ |
$3044193988/85293$ |
$0.95679$ |
$4.46975$ |
$[0, 1, 0, -304, 1892]$ |
\(y^2=x^3+x^2-304x+1892\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 26.6.0.b.1, 48.48.0-48.i.1.4, $\ldots$ |
$[(8, 6)]$ |
936.h1 |
936i3 |
936.h |
936i |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{14} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.16 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.852139$ |
$3044193988/85293$ |
$0.95679$ |
$5.16832$ |
$[0, 0, 0, -2739, 53822]$ |
\(y^2=x^3-2739x+53822\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0-8.o.1.4, $\ldots$ |
$[]$ |
1872.n1 |
1872h3 |
1872.n |
1872h |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{14} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.16 |
2B |
$624$ |
$192$ |
$3$ |
$1.141225143$ |
$1$ |
|
$7$ |
$2048$ |
$0.852139$ |
$3044193988/85293$ |
$0.95679$ |
$4.69287$ |
$[0, 0, 0, -2739, -53822]$ |
\(y^2=x^3-2739x-53822\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0-8.o.1.4, $\ldots$ |
$[(-31, 36)]$ |
2496.k1 |
2496s3 |
2496.k |
2496s |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \) |
\( 2^{16} \cdot 3^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.112 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$0.649407$ |
$3044193988/85293$ |
$0.95679$ |
$4.20928$ |
$[0, -1, 0, -1217, 16353]$ |
\(y^2=x^3-x^2-1217x+16353\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.7, 26.6.0.b.1, 48.48.0-48.i.1.16, $\ldots$ |
$[]$ |
2496.bb1 |
2496i3 |
2496.bb |
2496i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \) |
\( 2^{16} \cdot 3^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.108 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$0.649407$ |
$3044193988/85293$ |
$0.95679$ |
$4.20928$ |
$[0, 1, 0, -1217, -16353]$ |
\(y^2=x^3+x^2-1217x-16353\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.5, 26.6.0.b.1, 48.48.0-48.i.1.12, $\ldots$ |
$[]$ |
4056.g1 |
4056m3 |
4056.g |
4056m |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.62 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$1.585308$ |
$3044193988/85293$ |
$0.95679$ |
$5.31511$ |
$[0, -1, 0, -51432, -4362372]$ |
\(y^2=x^3-x^2-51432x-4362372\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.6, 26.6.0.b.1, 48.48.0-48.i.1.9, $\ldots$ |
$[]$ |
7488.i1 |
7488bu3 |
7488.i |
7488bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{14} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.18 |
2B |
$624$ |
$192$ |
$3$ |
$3.285028526$ |
$1$ |
|
$5$ |
$16384$ |
$1.198713$ |
$3044193988/85293$ |
$0.95679$ |
$4.42980$ |
$[0, 0, 0, -10956, -430576]$ |
\(y^2=x^3-10956x-430576\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.2, 24.24.0-8.o.1.5, $\ldots$ |
$[(-64, 92)]$ |
7488.t1 |
7488s3 |
7488.t |
7488s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{14} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.18 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$1.198713$ |
$3044193988/85293$ |
$0.95679$ |
$4.42980$ |
$[0, 0, 0, -10956, 430576]$ |
\(y^2=x^3-10956x+430576\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.2, 24.24.0-8.o.1.7, $\ldots$ |
$[]$ |
7800.n1 |
7800u3 |
7800.n |
7800u |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1.089429912$ |
$1$ |
|
$5$ |
$16384$ |
$1.107552$ |
$3044193988/85293$ |
$0.95679$ |
$4.28756$ |
$[0, 1, 0, -7608, -251712]$ |
\(y^2=x^3+x^2-7608x-251712\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.1, 26.6.0.b.1, $\ldots$ |
$[(-48, 72)]$ |
8112.bg1 |
8112m3 |
8112.bg |
8112m |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.52 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$43008$ |
$1.585308$ |
$3044193988/85293$ |
$0.95679$ |
$4.90581$ |
$[0, 1, 0, -51432, 4362372]$ |
\(y^2=x^3+x^2-51432x+4362372\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.8, 26.6.0.b.1, 48.48.0-48.i.1.13, $\ldots$ |
$[]$ |
12168.e1 |
12168f3 |
12168.e |
12168f |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 13^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.20 |
2B |
$624$ |
$192$ |
$3$ |
$2.231239045$ |
$1$ |
|
$13$ |
$172032$ |
$2.134613$ |
$3044193988/85293$ |
$0.95679$ |
$5.39510$ |
$[0, 0, 0, -462891, 118246934]$ |
\(y^2=x^3-462891x+118246934\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0-8.o.1.1, $\ldots$ |
$[(455, 1352), (286, 3042)]$ |
15288.bb1 |
15288j3 |
15288.bb |
15288j |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$4368$ |
$192$ |
$3$ |
$1.152817846$ |
$1$ |
|
$5$ |
$36864$ |
$1.275789$ |
$3044193988/85293$ |
$0.95679$ |
$4.19763$ |
$[0, 1, 0, -14912, 678768]$ |
\(y^2=x^3+x^2-14912x+678768\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 28.12.0-4.c.1.1, $\ldots$ |
$[(52, 216)]$ |
15600.bi1 |
15600e3 |
15600.bi |
15600e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1.374563723$ |
$1$ |
|
$5$ |
$32768$ |
$1.107552$ |
$3044193988/85293$ |
$0.95679$ |
$3.97975$ |
$[0, -1, 0, -7608, 251712]$ |
\(y^2=x^3-x^2-7608x+251712\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.2, 26.6.0.b.1, $\ldots$ |
$[(32, 200)]$ |
23400.e1 |
23400m4 |
23400.e |
23400m |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{14} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$131072$ |
$1.656858$ |
$3044193988/85293$ |
$0.95679$ |
$4.47456$ |
$[0, 0, 0, -68475, 6727750]$ |
\(y^2=x^3-68475x+6727750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
24336.t1 |
24336l4 |
24336.t |
24336l |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.20 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$344064$ |
$2.134613$ |
$3044193988/85293$ |
$0.95679$ |
$5.02483$ |
$[0, 0, 0, -462891, -118246934]$ |
\(y^2=x^3-462891x-118246934\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0-8.o.1.1, $\ldots$ |
$[]$ |
30576.be1 |
30576c4 |
30576.be |
30576c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$4368$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.275789$ |
$3044193988/85293$ |
$0.95679$ |
$3.91591$ |
$[0, -1, 0, -14912, -678768]$ |
\(y^2=x^3-x^2-14912x-678768\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
32448.q1 |
32448cl4 |
32448.q |
32448cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.113 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$344064$ |
$1.931881$ |
$3044193988/85293$ |
$0.95679$ |
$4.65146$ |
$[0, -1, 0, -205729, 35104705]$ |
\(y^2=x^3-x^2-205729x+35104705\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.2, 26.6.0.b.1, 48.48.0-48.i.1.1, $\ldots$ |
$[]$ |
32448.cd1 |
32448bm4 |
32448.cd |
32448bm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.109 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$344064$ |
$1.931881$ |
$3044193988/85293$ |
$0.95679$ |
$4.65146$ |
$[0, 1, 0, -205729, -35104705]$ |
\(y^2=x^3+x^2-205729x-35104705\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.4, 26.6.0.b.1, 48.48.0-48.i.1.5, $\ldots$ |
$[]$ |
37752.a1 |
37752r4 |
37752.a |
37752r |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$6864$ |
$192$ |
$3$ |
$2.047137226$ |
$1$ |
|
$5$ |
$184320$ |
$1.501781$ |
$3044193988/85293$ |
$0.95679$ |
$4.09490$ |
$[0, -1, 0, -36824, 2665500]$ |
\(y^2=x^3-x^2-36824x+2665500\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(206, 1944)]$ |
45864.n1 |
45864bk4 |
45864.n |
45864bk |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{14} \cdot 7^{6} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$4368$ |
$192$ |
$3$ |
$8.537505506$ |
$1$ |
|
$9$ |
$294912$ |
$1.825094$ |
$3044193988/85293$ |
$0.95679$ |
$4.38211$ |
$[0, 0, 0, -134211, -18460946]$ |
\(y^2=x^3-134211x-18460946\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(-189, 392), (-213, 680)]$ |
46800.fg1 |
46800w4 |
46800.fg |
46800w |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{14} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$262144$ |
$1.656858$ |
$3044193988/85293$ |
$0.95679$ |
$4.18614$ |
$[0, 0, 0, -68475, -6727750]$ |
\(y^2=x^3-68475x-6727750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
62400.l1 |
62400bg4 |
62400.l |
62400bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{6} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$10.71733007$ |
$1$ |
|
$7$ |
$262144$ |
$1.454126$ |
$3044193988/85293$ |
$0.95679$ |
$3.85674$ |
$[0, -1, 0, -30433, -1983263]$ |
\(y^2=x^3-x^2-30433x-1983263\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 40.24.0-8.o.1.2, $\ldots$ |
$[(-88, 75), (-97, 216)]$ |
62400.hw1 |
62400hl4 |
62400.hw |
62400hl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$262144$ |
$1.454126$ |
$3044193988/85293$ |
$0.95679$ |
$3.85674$ |
$[0, 1, 0, -30433, 1983263]$ |
\(y^2=x^3+x^2-30433x+1983263\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 40.24.0-8.o.1.4, $\ldots$ |
$[]$ |
75504.bs1 |
75504s4 |
75504.bs |
75504s |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$6864$ |
$192$ |
$3$ |
$1.454811970$ |
$1$ |
|
$7$ |
$368640$ |
$1.501781$ |
$3044193988/85293$ |
$0.95679$ |
$3.84220$ |
$[0, 1, 0, -36824, -2665500]$ |
\(y^2=x^3+x^2-36824x-2665500\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(-98, 108)]$ |
90168.bc1 |
90168o4 |
90168.bc |
90168o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$10608$ |
$192$ |
$3$ |
$1.898398818$ |
$1$ |
|
$3$ |
$655360$ |
$1.719440$ |
$3044193988/85293$ |
$0.95679$ |
$4.01135$ |
$[0, 1, 0, -87952, -9822928]$ |
\(y^2=x^3+x^2-87952x-9822928\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(419, 5202)]$ |
91728.bo1 |
91728z4 |
91728.bo |
91728z |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{14} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$4368$ |
$192$ |
$3$ |
$1.872598972$ |
$1$ |
|
$5$ |
$589824$ |
$1.825094$ |
$3044193988/85293$ |
$0.95679$ |
$4.11629$ |
$[0, 0, 0, -134211, 18460946]$ |
\(y^2=x^3-134211x+18460946\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(-5, 4374)]$ |
97344.ei1 |
97344bx4 |
97344.ei |
97344bx |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{14} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.19 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$2752512$ |
$2.481190$ |
$3044193988/85293$ |
$0.95679$ |
$4.78045$ |
$[0, 0, 0, -1851564, 945975472]$ |
\(y^2=x^3-1851564x+945975472\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.3, 24.24.0-8.o.1.2, $\ldots$ |
$[]$ |
97344.fq1 |
97344fg4 |
97344.fq |
97344fg |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{14} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.19 |
2B |
$624$ |
$192$ |
$3$ |
$18.56668215$ |
$1$ |
|
$1$ |
$2752512$ |
$2.481190$ |
$3044193988/85293$ |
$0.95679$ |
$4.78045$ |
$[0, 0, 0, -1851564, -945975472]$ |
\(y^2=x^3-1851564x-945975472\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.3, 24.24.0-8.o.1.4, $\ldots$ |
$[(2271008221/1045, 73934618131269/1045)]$ |
101400.dq1 |
101400bk4 |
101400.dq |
101400bk |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$2752512$ |
$2.390026$ |
$3044193988/85293$ |
$0.95679$ |
$4.66861$ |
$[0, 1, 0, -1285808, -547868112]$ |
\(y^2=x^3+x^2-1285808x-547868112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.1, 26.6.0.b.1, $\ldots$ |
$[]$ |
112632.s1 |
112632y4 |
112632.s |
112632y |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$11856$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$774144$ |
$1.775053$ |
$3044193988/85293$ |
$0.95679$ |
$3.99201$ |
$[0, 1, 0, -109864, 13636160]$ |
\(y^2=x^3+x^2-109864x+13636160\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
113256.br1 |
113256o4 |
113256.br |
113256o |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{14} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$6864$ |
$192$ |
$3$ |
$6.837096455$ |
$1$ |
|
$1$ |
$1474560$ |
$2.051086$ |
$3044193988/85293$ |
$0.95679$ |
$4.27475$ |
$[0, 0, 0, -331419, -71637082]$ |
\(y^2=x^3-331419x-71637082\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(16894/5, 450522/5)]$ |
122304.bc1 |
122304cb4 |
122304.bc |
122304cb |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$4368$ |
$192$ |
$3$ |
$5.296709458$ |
$1$ |
|
$3$ |
$589824$ |
$1.622362$ |
$3044193988/85293$ |
$0.95679$ |
$3.80752$ |
$[0, -1, 0, -59649, 5489793]$ |
\(y^2=x^3-x^2-59649x+5489793\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(1384, 50715)]$ |
122304.fm1 |
122304il4 |
122304.fm |
122304il |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$4368$ |
$192$ |
$3$ |
$2.452526164$ |
$1$ |
|
$5$ |
$589824$ |
$1.622362$ |
$3044193988/85293$ |
$0.95679$ |
$3.80752$ |
$[0, 1, 0, -59649, -5489793]$ |
\(y^2=x^3+x^2-59649x-5489793\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(-123, 36)]$ |
165048.o1 |
165048bn3 |
165048.o |
165048bn |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 23^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$14352$ |
$192$ |
$3$ |
$2.995003479$ |
$1$ |
|
$3$ |
$1441792$ |
$1.870581$ |
$3044193988/85293$ |
$0.95679$ |
$3.96046$ |
$[0, -1, 0, -160992, 24307452]$ |
\(y^2=x^3-x^2-160992x+24307452\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(-107, 6348)]$ |
180336.bi1 |
180336dc3 |
180336.bi |
180336dc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$10608$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1310720$ |
$1.719440$ |
$3044193988/85293$ |
$0.95679$ |
$3.78161$ |
$[0, -1, 0, -87952, 9822928]$ |
\(y^2=x^3-x^2-87952x+9822928\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
187200.be1 |
187200kt3 |
187200.be |
187200kt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{14} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$3.685429176$ |
$1$ |
|
$5$ |
$2097152$ |
$2.003433$ |
$3044193988/85293$ |
$0.95679$ |
$4.05069$ |
$[0, 0, 0, -273900, 53822000]$ |
\(y^2=x^3-273900x+53822000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(440, 4300)]$ |
187200.po1 |
187200gd4 |
187200.po |
187200gd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{14} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2097152$ |
$2.003433$ |
$3044193988/85293$ |
$0.95679$ |
$4.05069$ |
$[0, 0, 0, -273900, -53822000]$ |
\(y^2=x^3-273900x-53822000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
198744.cj1 |
198744i3 |
198744.cj |
198744i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 7^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$4368$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$6193152$ |
$2.558262$ |
$3044193988/85293$ |
$0.95679$ |
$4.57657$ |
$[0, 1, 0, -2520184, 1501333952]$ |
\(y^2=x^3+x^2-2520184x+1501333952\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
202800.i1 |
202800jc3 |
202800.i |
202800jc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$2.727191003$ |
$1$ |
|
$7$ |
$5505024$ |
$2.390026$ |
$3044193988/85293$ |
$0.95679$ |
$4.40380$ |
$[0, -1, 0, -1285808, 547868112]$ |
\(y^2=x^3-x^2-1285808x+547868112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.2, 26.6.0.b.1, $\ldots$ |
$[(568, 676)]$ |
225264.i1 |
225264ck4 |
225264.i |
225264ck |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$11856$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1548288$ |
$1.775053$ |
$3044193988/85293$ |
$0.95679$ |
$3.76751$ |
$[0, -1, 0, -109864, -13636160]$ |
\(y^2=x^3-x^2-109864x-13636160\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
226512.fq1 |
226512fo3 |
226512.fq |
226512fo |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{14} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$6864$ |
$192$ |
$3$ |
$4.637664331$ |
$1$ |
|
$3$ |
$2949120$ |
$2.051086$ |
$3044193988/85293$ |
$0.95679$ |
$4.03445$ |
$[0, 0, 0, -331419, 71637082]$ |
\(y^2=x^3-331419x+71637082\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(881, 21528)]$ |
262392.bb1 |
262392bb4 |
262392.bb |
262392bb |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 29^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$18096$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$3211264$ |
$1.986481$ |
$3044193988/85293$ |
$0.95679$ |
$3.92477$ |
$[0, 1, 0, -255944, -48702528]$ |
\(y^2=x^3+x^2-255944x-48702528\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
270504.h1 |
270504h3 |
270504.h |
270504h |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$10608$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$5242880$ |
$2.268745$ |
$3044193988/85293$ |
$0.95679$ |
$4.18602$ |
$[0, 0, 0, -791571, 264427486]$ |
\(y^2=x^3-791571x+264427486\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
299832.m1 |
299832m3 |
299832.m |
299832m |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 31^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$19344$ |
$192$ |
$3$ |
$3.824624981$ |
$1$ |
|
$3$ |
$3870720$ |
$2.019829$ |
$3044193988/85293$ |
$0.95679$ |
$3.91499$ |
$[0, 1, 0, -292464, 59288112]$ |
\(y^2=x^3+x^2-292464x+59288112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(204, 2856)]$ |
302016.dp1 |
302016dp4 |
302016.dp |
302016dp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{8} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$6864$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2949120$ |
$1.848354$ |
$3044193988/85293$ |
$0.95679$ |
$3.74967$ |
$[0, -1, 0, -147297, -21176703]$ |
\(y^2=x^3-x^2-147297x-21176703\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
302016.gw1 |
302016gw3 |
302016.gw |
302016gw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{8} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$6864$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$1.848354$ |
$3044193988/85293$ |
$0.95679$ |
$3.74967$ |
$[0, 1, 0, -147297, 21176703]$ |
\(y^2=x^3+x^2-147297x+21176703\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
304200.ft1 |
304200ft3 |
304200.ft |
304200ft |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 5^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$9.435444318$ |
$1$ |
|
$1$ |
$22020096$ |
$2.939335$ |
$3044193988/85293$ |
$0.95679$ |
$4.78446$ |
$[0, 0, 0, -11572275, 14780866750]$ |
\(y^2=x^3-11572275x+14780866750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(183915/7, 53383000/7)]$ |
330096.de1 |
330096de4 |
330096.de |
330096de |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$14352$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$2883584$ |
$1.870581$ |
$3044193988/85293$ |
$0.95679$ |
$3.74443$ |
$[0, 1, 0, -160992, -24307452]$ |
\(y^2=x^3+x^2-160992x-24307452\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
337896.bq1 |
337896bq4 |
337896.bq |
337896bq |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 13 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$11856$ |
$192$ |
$3$ |
$18.95739772$ |
$1$ |
|
$1$ |
$6193152$ |
$2.324360$ |
$3044193988/85293$ |
$0.95679$ |
$4.16530$ |
$[0, 0, 0, -988779, -369165098]$ |
\(y^2=x^3-988779x-369165098\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(3088549294/531, 170912340335170/531)]$ |