| 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 |
| 4410.a1 |
4410b1 |
4410.a |
4410b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{3} \cdot 5 \cdot 7^{11} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$53760$ |
$1.878561$ |
$551105805571803/1376829440$ |
$1.06833$ |
$5.82893$ |
$[1, -1, 0, -251085, -48258715]$ |
\(y^2+xy=x^3-x^2-251085x-48258715\) |
2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.? |
$[]$ |
| 4410.a2 |
4410b2 |
4410.a |
4410b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{7} \cdot 3^{3} \cdot 5^{2} \cdot 7^{16} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$107520$ |
$2.225136$ |
$-134745327251163/903920796800$ |
$1.10388$ |
$5.96294$ |
$[1, -1, 0, -157005, -84931099]$ |
\(y^2+xy=x^3-x^2-157005x-84931099\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
| 4410.b1 |
4410m3 |
4410.b |
4410m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2 \cdot 3^{6} \cdot 5^{2} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$2.503635521$ |
$1$ |
|
$6$ |
$24576$ |
$1.561249$ |
$2121328796049/120050$ |
$1.01959$ |
$5.55913$ |
$[1, -1, 0, -118050, -15581350]$ |
\(y^2+xy=x^3-x^2-118050x-15581350\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 24.24.0-8.k.1.3, 56.24.0.v.1, $\ldots$ |
$[(-197, 94)]$ |
| 4410.b2 |
4410m4 |
4410.b |
4410m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2 \cdot 3^{6} \cdot 5^{8} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$168$ |
$48$ |
$0$ |
$2.503635521$ |
$1$ |
|
$4$ |
$24576$ |
$1.561249$ |
$74565301329/5468750$ |
$0.99962$ |
$5.16015$ |
$[1, -1, 0, -38670, 2744846]$ |
\(y^2+xy=x^3-x^2-38670x+2744846\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 24.24.0-8.p.1.3, $\ldots$ |
$[(247, 2743)]$ |
| 4410.b3 |
4410m2 |
4410.b |
4410m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{4} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$168$ |
$48$ |
$0$ |
$1.251817760$ |
$1$ |
|
$14$ |
$12288$ |
$1.214676$ |
$611960049/122500$ |
$1.02632$ |
$4.58782$ |
$[1, -1, 0, -7800, -212500]$ |
\(y^2+xy=x^3-x^2-7800x-212500\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.3, 28.12.0.b.1, $\ldots$ |
$[(-50, 250)]$ |
| 4410.b4 |
4410m1 |
4410.b |
4410m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$168$ |
$48$ |
$0$ |
$0.625908880$ |
$1$ |
|
$9$ |
$6144$ |
$0.868102$ |
$1367631/2800$ |
$1.00023$ |
$3.97146$ |
$[1, -1, 0, 1020, -20224]$ |
\(y^2+xy=x^3-x^2+1020x-20224\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$ |
$[(23, 111)]$ |
| 4410.c1 |
4410k2 |
4410.c |
4410k |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{3} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$11.04361181$ |
$1$ |
|
$2$ |
$30240$ |
$1.706650$ |
$-5452947409/250$ |
$0.98622$ |
$5.77603$ |
$[1, -1, 0, -216540, -38731694]$ |
\(y^2+xy=x^3-x^2-216540x-38731694\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 40.2.0.a.1, 120.8.0.?, 840.16.0.? |
$[(187361, 81005522)]$ |
| 4410.c2 |
4410k1 |
4410.c |
4410k |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5 \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$3.681203937$ |
$1$ |
|
$2$ |
$10080$ |
$1.157343$ |
$-49/40$ |
$1.02061$ |
$4.43240$ |
$[1, -1, 0, -450, -138020]$ |
\(y^2+xy=x^3-x^2-450x-138020\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 40.2.0.a.1, 120.8.0.?, 840.16.0.? |
$[(83, 584)]$ |
| 4410.d1 |
4410a2 |
4410.d |
4410a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14336$ |
$1.423582$ |
$68971442301/400$ |
$1.11767$ |
$5.45377$ |
$[1, -1, 0, -87915, -10011275]$ |
\(y^2+xy=x^3-x^2-87915x-10011275\) |
2.3.0.a.1, 20.6.0.d.1, 42.6.0.a.1, 420.12.0.? |
$[]$ |
| 4410.d2 |
4410a1 |
4410.d |
4410a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7168$ |
$1.077009$ |
$17779581/1280$ |
$1.07803$ |
$4.46905$ |
$[1, -1, 0, -5595, -149339]$ |
\(y^2+xy=x^3-x^2-5595x-149339\) |
2.3.0.a.1, 20.6.0.d.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[]$ |
| 4410.e1 |
4410j1 |
4410.e |
4410j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 5 \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$0.392667515$ |
$1$ |
|
$11$ |
$1536$ |
$0.253173$ |
$1092727/540$ |
$0.92700$ |
$3.13808$ |
$[1, -1, 0, -135, 265]$ |
\(y^2+xy=x^3-x^2-135x+265\) |
2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[(-4, 29)]$ |
| 4410.e2 |
4410j2 |
4410.e |
4410j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2 \cdot 3^{12} \cdot 5^{2} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$0.785335030$ |
$1$ |
|
$8$ |
$3072$ |
$0.599747$ |
$53582633/36450$ |
$0.97948$ |
$3.60194$ |
$[1, -1, 0, 495, 1651]$ |
\(y^2+xy=x^3-x^2+495x+1651\) |
2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[(17, 113)]$ |
| 4410.f1 |
4410h7 |
4410.f |
4410h |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2 \cdot 3^{7} \cdot 5^{3} \cdot 7^{18} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$8.710857273$ |
$1$ |
|
$2$ |
$221184$ |
$2.721287$ |
$29689921233686449/10380965400750$ |
$1.03940$ |
$6.69676$ |
$[1, -1, 0, -2844900, 1162675786]$ |
\(y^2+xy=x^3-x^2-2844900x+1162675786\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(17681, 2331677)]$ |
| 4410.f2 |
4410h4 |
4410.f |
4410h |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{3} \cdot 3^{9} \cdot 5 \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$2.903619091$ |
$1$ |
|
$4$ |
$73728$ |
$2.171982$ |
$21145699168383889/2593080$ |
$1.02503$ |
$6.65632$ |
$[1, -1, 0, -2540610, 1559308540]$ |
\(y^2+xy=x^3-x^2-2540610x+1559308540\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(923, -331)]$ |
| 4410.f3 |
4410h6 |
4410.f |
4410h |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{6} \cdot 7^{12} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$840$ |
$384$ |
$5$ |
$4.355428636$ |
$1$ |
|
$6$ |
$110592$ |
$2.374714$ |
$2179252305146449/66177562500$ |
$1.01629$ |
$6.38552$ |
$[1, -1, 0, -1191150, -486774464]$ |
\(y^2+xy=x^3-x^2-1191150x-486774464\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 21.8.0-3.a.1.1, $\ldots$ |
$[(-694, 2642)]$ |
| 4410.f4 |
4410h3 |
4410.f |
4410h |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$2.177714318$ |
$1$ |
|
$3$ |
$55296$ |
$2.028141$ |
$2131200347946769/2058000$ |
$1.01540$ |
$6.38286$ |
$[1, -1, 0, -1182330, -494534300]$ |
\(y^2+xy=x^3-x^2-1182330x-494534300\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ |
$[(1472, 30134)]$ |
| 4410.f5 |
4410h2 |
4410.f |
4410h |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$840$ |
$384$ |
$5$ |
$1.451809545$ |
$1$ |
|
$12$ |
$36864$ |
$1.825407$ |
$5203798902289/57153600$ |
$1.07097$ |
$5.66607$ |
$[1, -1, 0, -159210, 24258100]$ |
\(y^2+xy=x^3-x^2-159210x+24258100\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 21.8.0-3.a.1.2, $\ldots$ |
$[(275, 965)]$ |
| 4410.f6 |
4410h5 |
4410.f |
4410h |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{18} \cdot 5^{4} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$2.903619091$ |
$1$ |
|
$4$ |
$73728$ |
$2.171982$ |
$-58818484369/18600435000$ |
$1.16201$ |
$5.88326$ |
$[1, -1, 0, -35730, 60832876]$ |
\(y^2+xy=x^3-x^2-35730x+60832876\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$ |
$[(-117, 8021)]$ |
| 4410.f7 |
4410h1 |
4410.f |
4410h |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 5 \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$0.725904772$ |
$1$ |
|
$9$ |
$18432$ |
$1.478834$ |
$7633736209/3870720$ |
$0.97808$ |
$4.88856$ |
$[1, -1, 0, -18090, -325004]$ |
\(y^2+xy=x^3-x^2-18090x-325004\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ |
$[(-103, 713)]$ |
| 4410.f8 |
4410h8 |
4410.f |
4410h |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2 \cdot 3^{10} \cdot 5^{12} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$8.710857273$ |
$1$ |
|
$0$ |
$221184$ |
$2.721287$ |
$42841933504271/13565917968750$ |
$1.08765$ |
$6.66838$ |
$[1, -1, 0, 321480, -1639701050]$ |
\(y^2+xy=x^3-x^2+321480x-1639701050\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$ |
$[(33071/5, 4061404/5)]$ |
| 4410.g1 |
4410f1 |
4410.g |
4410f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{5} \cdot 3^{8} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13440$ |
$1.259478$ |
$-105484561/1440$ |
$0.92003$ |
$4.84487$ |
$[1, -1, 0, -15885, 783621]$ |
\(y^2+xy=x^3-x^2-15885x+783621\) |
40.2.0.a.1 |
$[]$ |
| 4410.h1 |
4410i1 |
4410.h |
4410i |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$420$ |
$96$ |
$2$ |
$0.524506186$ |
$1$ |
|
$4$ |
$1680$ |
$0.336482$ |
$-5154200289/20$ |
$1.12200$ |
$3.91421$ |
$[1, -1, 0, -1185, 16001]$ |
\(y^2+xy=x^3-x^2-1185x+16001\) |
7.24.0.a.2, 20.2.0.a.1, 21.48.0-7.a.2.2, 140.48.2.?, 420.96.2.? |
$[(20, -9)]$ |
| 4410.h2 |
4410i2 |
4410.h |
4410i |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$420$ |
$96$ |
$2$ |
$3.671543307$ |
$1$ |
|
$2$ |
$11760$ |
$1.309437$ |
$1747829720511/1280000000$ |
$1.08633$ |
$4.60851$ |
$[1, -1, 0, 8265, -151075]$ |
\(y^2+xy=x^3-x^2+8265x-151075\) |
7.24.0.a.1, 20.2.0.a.1, 21.48.0-7.a.1.2, 140.48.2.?, 420.96.2.? |
$[(398, 7929)]$ |
| 4410.i1 |
4410l2 |
4410.i |
4410l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{5} \cdot 3^{6} \cdot 5^{4} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$2.756154103$ |
$1$ |
|
$4$ |
$53760$ |
$1.921637$ |
$544737993463/20000$ |
$1.00483$ |
$6.09279$ |
$[1, -1, 0, -525240, 146642656]$ |
\(y^2+xy=x^3-x^2-525240x+146642656\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[(423, -74)]$ |
| 4410.i2 |
4410l1 |
4410.i |
4410l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1.378077051$ |
$1$ |
|
$7$ |
$26880$ |
$1.575064$ |
$-115501303/25600$ |
$0.94412$ |
$5.12343$ |
$[1, -1, 0, -31320, 2516800]$ |
\(y^2+xy=x^3-x^2-31320x+2516800\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[(80, 680)]$ |
| 4410.j1 |
4410g1 |
4410.j |
4410g |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{8} \cdot 5^{5} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24960$ |
$1.526852$ |
$-1231272543361/230400000$ |
$1.02666$ |
$5.06392$ |
$[1, -1, 0, -26910, -1947884]$ |
\(y^2+xy=x^3-x^2-26910x-1947884\) |
40.2.0.a.1 |
$[]$ |
| 4410.k1 |
4410c4 |
4410.k |
4410c |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$1.350473$ |
$8527173507/200$ |
$1.05154$ |
$5.29450$ |
$[1, -1, 0, -56310, 5157116]$ |
\(y^2+xy=x^3-x^2-56310x+5157116\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0.ca.1, $\ldots$ |
$[]$ |
| 4410.k2 |
4410c3 |
4410.k |
4410c |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8640$ |
$1.003899$ |
$-1860867/320$ |
$0.97305$ |
$4.32094$ |
$[1, -1, 0, -3390, 87380]$ |
\(y^2+xy=x^3-x^2-3390x+87380\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0.cd.1, $\ldots$ |
$[]$ |
| 4410.k3 |
4410c2 |
4410.k |
4410c |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{6} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.801167$ |
$57960603/31250$ |
$1.11205$ |
$3.91421$ |
$[1, -1, 0, -1185, -3809]$ |
\(y^2+xy=x^3-x^2-1185x-3809\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0.ca.1, $\ldots$ |
$[]$ |
| 4410.k4 |
4410c1 |
4410.k |
4410c |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2880$ |
$0.454593$ |
$804357/500$ |
$1.08207$ |
$3.40448$ |
$[1, -1, 0, 285, -575]$ |
\(y^2+xy=x^3-x^2+285x-575\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0.cd.1, $\ldots$ |
$[]$ |
| 4410.l1 |
4410t5 |
4410.l |
4410t |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2 \cdot 3^{8} \cdot 5^{2} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$98304$ |
$2.259018$ |
$524388516989299201/3150$ |
$1.03693$ |
$7.03894$ |
$[1, -1, 0, -7408809, -7760095785]$ |
\(y^2+xy=x^3-x^2-7408809x-7760095785\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 24.24.0-8.n.1.6, $\ldots$ |
$[]$ |
| 4410.l2 |
4410t3 |
4410.l |
4410t |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{4} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$49152$ |
$1.912445$ |
$128031684631201/9922500$ |
$1.00206$ |
$6.04774$ |
$[1, -1, 0, -463059, -121159935]$ |
\(y^2+xy=x^3-x^2-463059x-121159935\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0-8.e.2.15, 40.48.0-8.e.2.11, $\ldots$ |
$[]$ |
| 4410.l3 |
4410t6 |
4410.l |
4410t |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2 \cdot 3^{14} \cdot 5^{8} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$98304$ |
$2.259018$ |
$-104094944089921/35880468750$ |
$1.00819$ |
$6.07876$ |
$[1, -1, 0, -432189, -138033477]$ |
\(y^2+xy=x^3-x^2-432189x-138033477\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 24.48.0-8.bb.1.3, 56.48.0.bn.1, $\ldots$ |
$[]$ |
| 4410.l4 |
4410t4 |
4410.l |
4410t |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{7} \cdot 5 \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$49152$ |
$1.912445$ |
$5602762882081/345888060$ |
$0.98661$ |
$5.67487$ |
$[1, -1, 0, -163179, 24020793]$ |
\(y^2+xy=x^3-x^2-163179x+24020793\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 48.48.0-8.bb.2.4, 60.12.0.h.1, $\ldots$ |
$[]$ |
| 4410.l5 |
4410t2 |
4410.l |
4410t |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$24576$ |
$1.565872$ |
$37966934881/8643600$ |
$0.95916$ |
$5.07972$ |
$[1, -1, 0, -30879, -1618947]$ |
\(y^2+xy=x^3-x^2-30879x-1618947\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 24.48.0-8.e.1.4, 40.48.0-8.e.1.13, $\ldots$ |
$[]$ |
| 4410.l6 |
4410t1 |
4410.l |
4410t |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.219297$ |
$109902239/188160$ |
$0.92835$ |
$4.46330$ |
$[1, -1, 0, 4401, -158355]$ |
\(y^2+xy=x^3-x^2+4401x-158355\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.8, $\ldots$ |
$[]$ |
| 4410.m1 |
4410o2 |
4410.m |
4410o |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{3} \cdot 7^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$120$ |
$16$ |
$0$ |
$0.924200570$ |
$1$ |
|
$8$ |
$4320$ |
$0.733695$ |
$-5452947409/250$ |
$0.98622$ |
$4.38470$ |
$[1, -1, 0, -4419, 114183]$ |
\(y^2+xy=x^3-x^2-4419x+114183\) |
3.8.0-3.a.1.2, 40.2.0.a.1, 120.16.0.? |
$[(39, -24)]$ |
| 4410.m2 |
4410o1 |
4410.m |
4410o |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5 \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$120$ |
$16$ |
$0$ |
$0.308066856$ |
$1$ |
|
$4$ |
$1440$ |
$0.184389$ |
$-49/40$ |
$1.02061$ |
$3.04108$ |
$[1, -1, 0, -9, 405]$ |
\(y^2+xy=x^3-x^2-9x+405\) |
3.8.0-3.a.1.1, 40.2.0.a.1, 120.16.0.? |
$[(9, 27)]$ |
| 4410.n1 |
4410q1 |
4410.n |
4410q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 5 \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10752$ |
$1.226128$ |
$1092727/540$ |
$0.92700$ |
$4.52940$ |
$[1, -1, 0, -6624, -77652]$ |
\(y^2+xy=x^3-x^2-6624x-77652\) |
2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[]$ |
| 4410.n2 |
4410q2 |
4410.n |
4410q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2 \cdot 3^{12} \cdot 5^{2} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21504$ |
$1.572702$ |
$53582633/36450$ |
$0.97948$ |
$4.99326$ |
$[1, -1, 0, 24246, -614790]$ |
\(y^2+xy=x^3-x^2+24246x-614790\) |
2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
| 4410.o1 |
4410e2 |
4410.o |
4410e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.322756318$ |
$1$ |
|
$10$ |
$2048$ |
$0.450628$ |
$68971442301/400$ |
$1.11767$ |
$4.06244$ |
$[1, -1, 0, -1794, 29700]$ |
\(y^2+xy=x^3-x^2-1794x+29700\) |
2.3.0.a.1, 20.6.0.d.1, 42.6.0.a.1, 420.12.0.? |
$[(16, 62)]$ |
| 4410.o2 |
4410e1 |
4410.o |
4410e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.645512637$ |
$1$ |
|
$7$ |
$1024$ |
$0.104054$ |
$17779581/1280$ |
$1.07803$ |
$3.07772$ |
$[1, -1, 0, -114, 468]$ |
\(y^2+xy=x^3-x^2-114x+468\) |
2.3.0.a.1, 20.6.0.d.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(4, 6)]$ |
| 4410.p1 |
4410d3 |
4410.p |
4410d |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{3} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$0.431123220$ |
$1$ |
|
$11$ |
$13824$ |
$1.435465$ |
$416832723/56000$ |
$0.92419$ |
$4.93482$ |
$[1, -1, 0, -20589, 1001573]$ |
\(y^2+xy=x^3-x^2-20589x+1001573\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0.cc.1, $\ldots$ |
$[(2, 979)]$ |
| 4410.p2 |
4410d1 |
4410.p |
4410d |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$1.293369660$ |
$1$ |
|
$3$ |
$4608$ |
$0.886160$ |
$4767078987/6860$ |
$0.94607$ |
$4.43970$ |
$[1, -1, 0, -5154, -140960]$ |
\(y^2+xy=x^3-x^2-5154x-140960\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0.cc.1, $\ldots$ |
$[(149, 1469)]$ |
| 4410.p3 |
4410d2 |
4410.p |
4410d |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$2.586739321$ |
$1$ |
|
$2$ |
$9216$ |
$1.232733$ |
$-1740992427/5882450$ |
$0.98563$ |
$4.54877$ |
$[1, -1, 0, -3684, -224162]$ |
\(y^2+xy=x^3-x^2-3684x-224162\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0.cb.1, $\ldots$ |
$[(317, 5354)]$ |
| 4410.p4 |
4410d4 |
4410.p |
4410d |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$0.862246440$ |
$1$ |
|
$8$ |
$27648$ |
$1.782040$ |
$1613964717/6125000$ |
$0.98796$ |
$5.30053$ |
$[1, -1, 0, 32331, 5266925]$ |
\(y^2+xy=x^3-x^2+32331x+5266925\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0.cb.1, $\ldots$ |
$[(121, 3247)]$ |
| 4410.q1 |
4410p1 |
4410.q |
4410p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{5} \cdot 3^{8} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$0.286523$ |
$-105484561/1440$ |
$0.92003$ |
$3.45355$ |
$[1, -1, 0, -324, -2192]$ |
\(y^2+xy=x^3-x^2-324x-2192\) |
40.2.0.a.1 |
$[]$ |
| 4410.r1 |
4410n1 |
4410.r |
4410n |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$420$ |
$96$ |
$2$ |
$9.794799683$ |
$1$ |
|
$0$ |
$11760$ |
$1.309437$ |
$-5154200289/20$ |
$1.12200$ |
$5.30553$ |
$[1, -1, 0, -58074, -5372200]$ |
\(y^2+xy=x^3-x^2-58074x-5372200\) |
7.24.0.a.2, 20.2.0.a.1, 21.48.0-7.a.2.1, 140.48.2.?, 420.96.2.? |
$[(18566/7, 1714392/7)]$ |
| 4410.r2 |
4410n2 |
4410.r |
4410n |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{7} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$420$ |
$96$ |
$2$ |
$1.399257097$ |
$1$ |
|
$4$ |
$82320$ |
$2.282391$ |
$1747829720511/1280000000$ |
$1.08633$ |
$5.99983$ |
$[1, -1, 0, 404976, 51008768]$ |
\(y^2+xy=x^3-x^2+404976x+51008768\) |
7.24.0.a.1, 20.2.0.a.1, 21.48.0-7.a.1.1, 140.48.2.?, 420.96.2.? |
$[(32, 7984)]$ |
| 4410.s1 |
4410s2 |
4410.s |
4410s |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{5} \cdot 3^{6} \cdot 5^{4} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7680$ |
$0.948682$ |
$544737993463/20000$ |
$1.00483$ |
$4.70147$ |
$[1, -1, 0, -10719, -424467]$ |
\(y^2+xy=x^3-x^2-10719x-424467\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[]$ |
