| 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 |
| 5586.a1 |
5586f2 |
5586.a |
5586f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{2} \cdot 7^{7} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$0.337140027$ |
$1$ |
|
$32$ |
$24576$ |
$1.175457$ |
$23711636464489/363888$ |
$0.95210$ |
$4.92262$ |
$[1, 1, 0, -29327, 1920885]$ |
\(y^2+xy=x^3+x^2-29327x+1920885\) |
2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.? |
$[(97, -73), (146, 809)]$ |
| 5586.a2 |
5586f1 |
5586.a |
5586f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{8} \cdot 3 \cdot 7^{8} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1.348560109$ |
$1$ |
|
$17$ |
$12288$ |
$0.828883$ |
$6321363049/715008$ |
$1.04390$ |
$3.96877$ |
$[1, 1, 0, -1887, 27525]$ |
\(y^2+xy=x^3+x^2-1887x+27525\) |
2.3.0.a.1, 28.6.0.b.1, 114.6.0.?, 1596.12.0.? |
$[(-1, 172), (13, 67)]$ |
| 5586.b1 |
5586k3 |
5586.b |
5586k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{3} \cdot 3 \cdot 7^{8} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$4.953485107$ |
$1$ |
|
$2$ |
$36864$ |
$1.735830$ |
$27384399945278713/153257496$ |
$1.03374$ |
$5.73993$ |
$[1, 1, 0, -307696, -65822840]$ |
\(y^2+xy=x^3+x^2-307696x-65822840\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 56.12.0-4.c.1.1, 84.12.0.?, $\ldots$ |
$[(671, 5177)]$ |
| 5586.b2 |
5586k2 |
5586.b |
5586k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{10} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3192$ |
$48$ |
$0$ |
$2.476742553$ |
$1$ |
|
$8$ |
$18432$ |
$1.389256$ |
$7052482298233/499254336$ |
$0.99741$ |
$4.78208$ |
$[1, 1, 0, -19576, -995840]$ |
\(y^2+xy=x^3+x^2-19576x-995840\) |
2.6.0.a.1, 24.12.0.b.1, 56.12.0-2.a.1.1, 84.12.0.?, 152.12.0.?, $\ldots$ |
$[(-83, 298)]$ |
| 5586.b3 |
5586k1 |
5586.b |
5586k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{12} \cdot 3 \cdot 7^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1.238371276$ |
$1$ |
|
$7$ |
$9216$ |
$1.042683$ |
$55611739513/11440128$ |
$0.91363$ |
$4.22080$ |
$[1, 1, 0, -3896, 73536]$ |
\(y^2+xy=x^3+x^2-3896x+73536\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 56.12.0-4.c.1.4, 84.12.0.?, $\ldots$ |
$[(55, 144)]$ |
| 5586.b4 |
5586k4 |
5586.b |
5586k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{3} \cdot 3^{4} \cdot 7^{14} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$4.953485107$ |
$1$ |
|
$2$ |
$36864$ |
$1.735830$ |
$5180411077127/70976229912$ |
$1.16509$ |
$5.10808$ |
$[1, 1, 0, 17664, -4295304]$ |
\(y^2+xy=x^3+x^2+17664x-4295304\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 56.12.0-4.c.1.2, 152.12.0.?, $\ldots$ |
$[(309, 5394)]$ |
| 5586.c1 |
5586c1 |
5586.c |
5586c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{4} \cdot 7^{2} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.443335794$ |
$1$ |
|
$16$ |
$960$ |
$-0.259382$ |
$10100279/6156$ |
$0.89855$ |
$2.32034$ |
$[1, 1, 0, 17, 1]$ |
\(y^2+xy=x^3+x^2+17x+1\) |
38.2.0.a.1 |
$[(1, 4), (0, 1)]$ |
| 5586.d1 |
5586b1 |
5586.d |
5586b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{19} \cdot 3^{7} \cdot 7^{10} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$1787520$ |
$3.606174$ |
$-668286694038078762077641/413929046016$ |
$1.11605$ |
$8.61358$ |
$[1, 1, 0, -1195106203, -15902721896291]$ |
\(y^2+xy=x^3+x^2-1195106203x-15902721896291\) |
24.2.0.b.1 |
$[]$ |
| 5586.e1 |
5586i1 |
5586.e |
5586i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3 \cdot 7^{2} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.413997850$ |
$1$ |
|
$4$ |
$960$ |
$-0.064333$ |
$-346016041/34656$ |
$0.88103$ |
$2.74842$ |
$[1, 1, 0, -53, 141]$ |
\(y^2+xy=x^3+x^2-53x+141\) |
24.2.0.b.1 |
$[(1, 9)]$ |
| 5586.f1 |
5586g2 |
5586.f |
5586g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{6} \cdot 3^{4} \cdot 7^{3} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$3192$ |
$48$ |
$1$ |
$0.417681448$ |
$1$ |
|
$8$ |
$6144$ |
$0.886216$ |
$2266158235375/675584064$ |
$0.97915$ |
$3.97389$ |
$[1, 1, 0, -1915, -23267]$ |
\(y^2+xy=x^3+x^2-1915x-23267\) |
2.3.0.a.1, 4.12.0.f.1, 28.24.0.i.1, 456.24.0.?, 3192.48.1.? |
$[(-18, 85)]$ |
| 5586.f2 |
5586g1 |
5586.f |
5586g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{2} \cdot 7^{3} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$3192$ |
$48$ |
$1$ |
$0.835362896$ |
$1$ |
|
$7$ |
$3072$ |
$0.539642$ |
$11015140625/13307904$ |
$1.01914$ |
$3.36628$ |
$[1, 1, 0, 325, -2211]$ |
\(y^2+xy=x^3+x^2+325x-2211\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 14.6.0.b.1, 28.12.0.k.1, $\ldots$ |
$[(13, 60)]$ |
| 5586.g1 |
5586a6 |
5586.g |
5586a |
$6$ |
$18$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{2} \cdot 7^{7} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 9.12.0.1 |
2B, 3B |
$4788$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$995328$ |
$3.235188$ |
$103665426767620308239307625/5961940992$ |
$1.05833$ |
$8.29607$ |
$[1, 1, 0, -479548815, 4041809851941]$ |
\(y^2+xy=x^3+x^2-479548815x+4041809851941\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 12.24.0-6.a.1.4, $\ldots$ |
$[]$ |
| 5586.g2 |
5586a5 |
5586.g |
5586a |
$6$ |
$18$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{36} \cdot 3 \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 9.12.0.1 |
2B, 3B |
$4788$ |
$864$ |
$21$ |
$1$ |
$4$ |
$2$ |
$1$ |
$497664$ |
$2.888615$ |
$25309080274342544331625/191933498523648$ |
$1.03856$ |
$7.33203$ |
$[1, 1, 0, -29971855, 63143671333]$ |
\(y^2+xy=x^3+x^2-29971855x+63143671333\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 12.24.0-6.a.1.8, $\ldots$ |
$[]$ |
| 5586.g3 |
5586a4 |
5586.g |
5586a |
$6$ |
$18$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{9} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.12.0.1 |
2B, 3Cs |
$4788$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$331776$ |
$2.685883$ |
$195607431345044517625/752875610010048$ |
$1.02430$ |
$6.76843$ |
$[1, 1, 0, -5925840, 5531337792]$ |
\(y^2+xy=x^3+x^2-5925840x+5531337792\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 12.72.0-6.a.1.4, 21.24.0-3.a.1.1, $\ldots$ |
$[]$ |
| 5586.g4 |
5586a3 |
5586.g |
5586a |
$6$ |
$18$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{3} \cdot 7^{12} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.12.0.1 |
2B, 3Cs |
$4788$ |
$864$ |
$21$ |
$1$ |
$4$ |
$2$ |
$1$ |
$165888$ |
$2.339310$ |
$154357248921765625/89242711068672$ |
$1.14480$ |
$5.94036$ |
$[1, 1, 0, -547600, -5022464]$ |
\(y^2+xy=x^3+x^2-547600x-5022464\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 12.72.0-6.a.1.2, 21.24.0-3.a.1.1, $\ldots$ |
$[]$ |
| 5586.g5 |
5586a2 |
5586.g |
5586a |
$6$ |
$18$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{18} \cdot 7^{7} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 9.12.0.1 |
2B, 3B |
$4788$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$2.136578$ |
$55369510069623625/3916046302812$ |
$0.99506$ |
$5.82153$ |
$[1, 1, 0, -389085, -87682671]$ |
\(y^2+xy=x^3+x^2-389085x-87682671\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 12.24.0-6.a.1.10, $\ldots$ |
$[]$ |
| 5586.g6 |
5586a1 |
5586.g |
5586a |
$6$ |
$18$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{9} \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 9.12.0.1 |
2B, 3B |
$4788$ |
$864$ |
$21$ |
$1$ |
$4$ |
$2$ |
$1$ |
$55296$ |
$1.790003$ |
$52492168638015625/293197968$ |
$1.03617$ |
$5.81534$ |
$[1, 1, 0, -382225, -91114043]$ |
\(y^2+xy=x^3+x^2-382225x-91114043\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 12.24.0-6.a.1.2, $\ldots$ |
$[]$ |
| 5586.h1 |
5586h1 |
5586.h |
5586h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{21} \cdot 3^{7} \cdot 7^{2} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$3.511952362$ |
$1$ |
|
$2$ |
$56448$ |
$1.846800$ |
$628805222251722551/597713542447104$ |
$1.03789$ |
$5.20101$ |
$[1, 1, 0, 65313, -5122683]$ |
\(y^2+xy=x^3+x^2+65313x-5122683\) |
24.2.0.b.1 |
$[(101, 1536)]$ |
| 5586.i1 |
5586j3 |
5586.i |
5586j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2 \cdot 3^{5} \cdot 7^{7} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3192$ |
$48$ |
$0$ |
$8.845711240$ |
$1$ |
|
$0$ |
$61440$ |
$1.948257$ |
$661397832743623417/443352042$ |
$1.00383$ |
$6.10900$ |
$[1, 1, 0, -889424, -323228562]$ |
\(y^2+xy=x^3+x^2-889424x-323228562\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(34989/5, 4198827/5)]$ |
| 5586.i2 |
5586j2 |
5586.i |
5586j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{10} \cdot 7^{8} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$3192$ |
$48$ |
$0$ |
$4.422855620$ |
$1$ |
|
$4$ |
$30720$ |
$1.601683$ |
$164503536215257/4178071044$ |
$0.96452$ |
$5.14712$ |
$[1, 1, 0, -55934, -5002080]$ |
\(y^2+xy=x^3+x^2-55934x-5002080\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 84.12.0.?, 168.24.0.?, 228.12.0.?, $\ldots$ |
$[(447, 7494)]$ |
| 5586.i3 |
5586j1 |
5586.i |
5586j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{5} \cdot 7^{10} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3192$ |
$48$ |
$0$ |
$2.211427810$ |
$1$ |
|
$5$ |
$15360$ |
$1.255110$ |
$466025146777/177366672$ |
$0.94154$ |
$4.46719$ |
$[1, 1, 0, -7914, 155268]$ |
\(y^2+xy=x^3+x^2-7914x+155268\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 84.12.0.?, 114.6.0.?, $\ldots$ |
$[(104, 634)]$ |
| 5586.i4 |
5586j4 |
5586.i |
5586j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2 \cdot 3^{20} \cdot 7^{7} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3192$ |
$48$ |
$0$ |
$8.845711240$ |
$1$ |
|
$0$ |
$61440$ |
$1.948257$ |
$740480746823/927484650666$ |
$1.05145$ |
$5.41091$ |
$[1, 1, 0, 9236, -15885470]$ |
\(y^2+xy=x^3+x^2+9236x-15885470\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 168.24.0.?, 456.24.0.?, $\ldots$ |
$[(34345/9, 5699600/9)]$ |
| 5586.j1 |
5586d1 |
5586.j |
5586d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{5} \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.931769$ |
$84778086457/904932$ |
$0.91032$ |
$4.26967$ |
$[1, 1, 0, -4484, -116388]$ |
\(y^2+xy=x^3+x^2-4484x-116388\) |
2.3.0.a.1, 56.6.0.c.1, 114.6.0.?, 3192.12.0.? |
$[]$ |
| 5586.j2 |
5586d2 |
5586.j |
5586d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2 \cdot 3^{10} \cdot 7^{7} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15360$ |
$1.278343$ |
$-1102302937/298433646$ |
$0.99495$ |
$4.47917$ |
$[1, 1, 0, -1054, -285830]$ |
\(y^2+xy=x^3+x^2-1054x-285830\) |
2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.? |
$[]$ |
| 5586.k1 |
5586e2 |
5586.k |
5586e |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{2} \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10368$ |
$0.927578$ |
$-1393520833033/10161910296$ |
$0.99778$ |
$3.99452$ |
$[1, 1, 0, -851, 34917]$ |
\(y^2+xy=x^3+x^2-851x+34917\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 24.8.0.d.1, 168.16.0.? |
$[]$ |
| 5586.k2 |
5586e1 |
5586.k |
5586e |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2 \cdot 3^{9} \cdot 7^{2} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$0.378272$ |
$1843623047/14211126$ |
$0.95437$ |
$3.21488$ |
$[1, 1, 0, 94, -1182]$ |
\(y^2+xy=x^3+x^2+94x-1182\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 24.8.0.d.1, 168.16.0.? |
$[]$ |
| 5586.l1 |
5586p2 |
5586.l |
5586p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{8} \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$0.363372079$ |
$1$ |
|
$4$ |
$72576$ |
$1.900534$ |
$-1393520833033/10161910296$ |
$0.99778$ |
$5.34773$ |
$[1, 0, 1, -41725, -12101680]$ |
\(y^2+xy+y=x^3-41725x-12101680\) |
3.8.0-3.a.1.1, 24.16.0-24.d.1.7 |
$[(298, 1247)]$ |
| 5586.l2 |
5586p1 |
5586.l |
5586p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2 \cdot 3^{9} \cdot 7^{8} \cdot 19^{2} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$24$ |
$16$ |
$0$ |
$1.090116237$ |
$1$ |
|
$8$ |
$24192$ |
$1.351227$ |
$1843623047/14211126$ |
$0.95437$ |
$4.56808$ |
$[1, 0, 1, 4580, 419192]$ |
\(y^2+xy+y=x^3+4580x+419192\) |
3.8.0-3.a.1.2, 24.16.0-24.d.1.8 |
$[(-50, 281)]$ |
| 5586.m1 |
5586m1 |
5586.m |
5586m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{21} \cdot 3^{7} \cdot 7^{8} \cdot 19^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$395136$ |
$2.819756$ |
$628805222251722551/597713542447104$ |
$1.03789$ |
$6.55421$ |
$[1, 0, 1, 3200311, 1766681228]$ |
\(y^2+xy+y=x^3+3200311x+1766681228\) |
24.2.0.b.1 |
$[]$ |
| 5586.n1 |
5586q2 |
5586.n |
5586q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{6} \cdot 3^{4} \cdot 7^{9} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$3192$ |
$48$ |
$1$ |
$1.240559409$ |
$1$ |
|
$6$ |
$43008$ |
$1.859171$ |
$2266158235375/675584064$ |
$0.97915$ |
$5.32710$ |
$[1, 0, 1, -93861, 7699024]$ |
\(y^2+xy+y=x^3-93861x+7699024\) |
2.3.0.a.1, 4.12.0.f.1, 28.24.0.i.1, 456.24.0.?, 3192.48.1.? |
$[(347, 3942)]$ |
| 5586.n2 |
5586q1 |
5586.n |
5586q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{2} \cdot 7^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$3192$ |
$48$ |
$1$ |
$2.481118818$ |
$1$ |
|
$5$ |
$21504$ |
$1.512598$ |
$11015140625/13307904$ |
$1.01914$ |
$4.71948$ |
$[1, 0, 1, 15899, 806096]$ |
\(y^2+xy+y=x^3+15899x+806096\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 14.6.0.b.1, 28.12.0.k.1, $\ldots$ |
$[(19, 1046)]$ |
| 5586.o1 |
5586s2 |
5586.o |
5586s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{2} \cdot 7^{7} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$0.913450$ |
$377149515625/90972$ |
$1.09011$ |
$4.44266$ |
$[1, 0, 1, -7376, -244366]$ |
\(y^2+xy+y=x^3-7376x-244366\) |
2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.? |
$[]$ |
| 5586.o2 |
5586s1 |
5586.o |
5586s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{4} \cdot 3 \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.566877$ |
$128787625/44688$ |
$0.85715$ |
$3.51751$ |
$[1, 0, 1, -516, -2894]$ |
\(y^2+xy+y=x^3-516x-2894\) |
2.3.0.a.1, 28.6.0.b.1, 114.6.0.?, 1596.12.0.? |
$[]$ |
| 5586.p1 |
5586r1 |
5586.p |
5586r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{5} \cdot 7^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$456$ |
$12$ |
$0$ |
$0.256971936$ |
$1$ |
|
$11$ |
$5760$ |
$0.792264$ |
$96386901625/18468$ |
$0.97983$ |
$4.28454$ |
$[1, 0, 1, -4681, 122840]$ |
\(y^2+xy+y=x^3-4681x+122840\) |
2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.? |
$[(46, 50)]$ |
| 5586.p2 |
5586r2 |
5586.p |
5586r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2 \cdot 3^{10} \cdot 7^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$456$ |
$12$ |
$0$ |
$0.513943872$ |
$1$ |
|
$8$ |
$11520$ |
$1.138838$ |
$-69173457625/42633378$ |
$0.99175$ |
$4.33013$ |
$[1, 0, 1, -4191, 149692]$ |
\(y^2+xy+y=x^3-4191x+149692\) |
2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.? |
$[(32, 204)]$ |
| 5586.q1 |
5586n1 |
5586.q |
5586n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{19} \cdot 3^{7} \cdot 7^{4} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.821533635$ |
$1$ |
|
$4$ |
$255360$ |
$2.633217$ |
$-668286694038078762077641/413929046016$ |
$1.11605$ |
$7.26037$ |
$[1, 0, 1, -24389923, 46360136414]$ |
\(y^2+xy+y=x^3-24389923x+46360136414\) |
24.2.0.b.1 |
$[(2854, -1171)]$ |
| 5586.r1 |
5586o1 |
5586.r |
5586o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{2} \cdot 3^{4} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.214961041$ |
$1$ |
|
$6$ |
$6720$ |
$0.713573$ |
$10100279/6156$ |
$0.89855$ |
$3.67354$ |
$[1, 0, 1, 807, 2104]$ |
\(y^2+xy+y=x^3+807x+2104\) |
38.2.0.a.1 |
$[(53, 414)]$ |
| 5586.s1 |
5586l1 |
5586.s |
5586l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3 \cdot 7^{8} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6720$ |
$0.908622$ |
$-346016041/34656$ |
$0.88103$ |
$4.10163$ |
$[1, 0, 1, -2623, -56206]$ |
\(y^2+xy+y=x^3-2623x-56206\) |
24.2.0.b.1 |
$[]$ |
| 5586.t1 |
5586w4 |
5586.t |
5586w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{2} \cdot 3 \cdot 7^{10} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3192$ |
$48$ |
$0$ |
$2.277398528$ |
$1$ |
|
$4$ |
$12288$ |
$1.307215$ |
$199350693197713/547428$ |
$1.03794$ |
$5.16938$ |
$[1, 1, 1, -59634, 5580315]$ |
\(y^2+xy+y=x^3+x^2-59634x+5580315\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.ba.1.10, $\ldots$ |
$[(141, -63)]$ |
| 5586.t2 |
5586w3 |
5586.t |
5586w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{7} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3192$ |
$48$ |
$0$ |
$2.277398528$ |
$1$ |
|
$4$ |
$12288$ |
$1.307215$ |
$1130389181713/295568028$ |
$0.94050$ |
$4.56988$ |
$[1, 1, 1, -10634, -316933]$ |
\(y^2+xy+y=x^3+x^2-10634x-316933\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 28.24.0-28.h.1.1, 456.24.0.?, 3192.48.0.? |
$[(-71, 329)]$ |
| 5586.t3 |
5586w2 |
5586.t |
5586w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$1.138699264$ |
$1$ |
|
$12$ |
$6144$ |
$0.960642$ |
$50529889873/2547216$ |
$1.06382$ |
$4.20969$ |
$[1, 1, 1, -3774, 83691]$ |
\(y^2+xy+y=x^3+x^2-3774x+83691\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.a.1.2, 228.24.0.?, 1596.48.0.? |
$[(43, 35)]$ |
| 5586.t4 |
5586w1 |
5586.t |
5586w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3 \cdot 7^{7} \cdot 19 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3192$ |
$48$ |
$0$ |
$2.277398528$ |
$1$ |
|
$7$ |
$3072$ |
$0.614068$ |
$2924207/102144$ |
$0.97271$ |
$3.55210$ |
$[1, 1, 1, 146, 5291]$ |
\(y^2+xy+y=x^3+x^2+146x+5291\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.ba.1.4, 456.24.0.?, 798.6.0.?, $\ldots$ |
$[(-11, 55)]$ |
| 5586.u1 |
5586u3 |
5586.u |
5586u |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{2} \cdot 3 \cdot 7^{6} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$3192$ |
$96$ |
$1$ |
$2.148553948$ |
$1$ |
|
$3$ |
$10368$ |
$1.078457$ |
$8671983378625/82308$ |
$1.00775$ |
$4.80604$ |
$[1, 1, 1, -20973, 1160319]$ |
\(y^2+xy+y=x^3+x^2-20973x+1160319\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 21.8.0-3.a.1.2, $\ldots$ |
$[(27, 770)]$ |
| 5586.u2 |
5586u4 |
5586.u |
5586u |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2 \cdot 3^{2} \cdot 7^{6} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$3192$ |
$96$ |
$1$ |
$4.297107896$ |
$1$ |
|
$0$ |
$20736$ |
$1.425032$ |
$-8078253774625/846825858$ |
$1.01015$ |
$4.81711$ |
$[1, 1, 1, -20483, 1217747]$ |
\(y^2+xy+y=x^3+x^2-20483x+1217747\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 21.8.0-3.a.1.2, $\ldots$ |
$[(115/2, 6349/2)]$ |
| 5586.u3 |
5586u1 |
5586.u |
5586u |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{6} \cdot 3^{3} \cdot 7^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$3192$ |
$96$ |
$1$ |
$0.716184649$ |
$1$ |
|
$7$ |
$3456$ |
$0.529151$ |
$57066625/32832$ |
$1.04766$ |
$3.42317$ |
$[1, 1, 1, -393, -393]$ |
\(y^2+xy+y=x^3+x^2-393x-393\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 21.8.0-3.a.1.1, $\ldots$ |
$[(27, 84)]$ |
| 5586.u4 |
5586u2 |
5586.u |
5586u |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{3} \cdot 3^{6} \cdot 7^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$3192$ |
$96$ |
$1$ |
$1.432369298$ |
$1$ |
|
$4$ |
$6912$ |
$0.875725$ |
$3616805375/2105352$ |
$1.07346$ |
$3.90406$ |
$[1, 1, 1, 1567, -1177]$ |
\(y^2+xy+y=x^3+x^2+1567x-1177\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 21.8.0-3.a.1.1, $\ldots$ |
$[(13, 140)]$ |
| 5586.v1 |
5586t1 |
5586.v |
5586t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{14} \cdot 3^{8} \cdot 7^{4} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.133378786$ |
$1$ |
|
$10$ |
$56448$ |
$1.926746$ |
$-3866805342966045361/737311113216$ |
$1.04259$ |
$5.86264$ |
$[1, 1, 1, -437865, 111357399]$ |
\(y^2+xy+y=x^3+x^2-437865x+111357399\) |
38.2.0.a.1 |
$[(703, 11960)]$ |
| 5586.w1 |
5586v2 |
5586.w |
5586v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{10} \cdot 7^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1.830417669$ |
$1$ |
|
$6$ |
$71680$ |
$2.112286$ |
$226077997131559/5457072384$ |
$0.99461$ |
$5.86057$ |
$[1, 1, 1, -435317, -108400741]$ |
\(y^2+xy+y=x^3+x^2-435317x-108400741\) |
2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.? |
$[(-421, 896)]$ |
| 5586.w2 |
5586v1 |
5586.w |
5586v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{16} \cdot 3^{5} \cdot 7^{9} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$3.660835338$ |
$1$ |
|
$5$ |
$35840$ |
$1.765713$ |
$141420761/302579712$ |
$1.05997$ |
$5.15709$ |
$[1, 1, 1, 3723, -5314149]$ |
\(y^2+xy+y=x^3+x^2+3723x-5314149\) |
2.3.0.a.1, 28.6.0.b.1, 228.6.0.?, 798.6.0.?, 1596.12.0.? |
$[(183, 1148)]$ |
| 5586.x1 |
5586x2 |
5586.x |
5586x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{6} \cdot 3^{14} \cdot 7^{7} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$129024$ |
$1.969873$ |
$3814038123905521/773540010432$ |
$0.98661$ |
$5.51145$ |
$[1, 1, 1, -159496, 19693001]$ |
\(y^2+xy+y=x^3+x^2-159496x+19693001\) |
2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.? |
$[]$ |
