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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
47652.a1 |
47652e2 |
47652.a |
47652e |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 11^{2} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$5016$ |
$48$ |
$1$ |
$8.535381608$ |
$1$ |
|
$1$ |
$1714560$ |
$2.478695$ |
$114489359728/9801$ |
$[0, -1, 0, -4405764, -3557694456]$ |
\(y^2=x^3-x^2-4405764x-3557694456\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bu.1, 76.12.0.?, 88.12.0.?, $\ldots$ |
$[(97374/5, 24480918/5)]$ |
47652.a2 |
47652e1 |
47652.a |
47652e |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 11^{4} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$5016$ |
$48$ |
$1$ |
$4.267690804$ |
$1$ |
|
$3$ |
$857280$ |
$2.132122$ |
$-359661568/131769$ |
$[0, -1, 0, -256069, -63651266]$ |
\(y^2=x^3-x^2-256069x-63651266\) |
2.3.0.a.1, 4.6.0.e.1, 12.12.0.n.1, 38.6.0.b.1, 76.12.0.?, $\ldots$ |
$[(877, 19635)]$ |
47652.b1 |
47652d1 |
47652.b |
47652d |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 11 \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$44$ |
$2$ |
$0$ |
$1.367640074$ |
$1$ |
|
$0$ |
$1871424$ |
$2.806412$ |
$145990721706064/5845851$ |
$[0, -1, 0, -17904276, 29164674024]$ |
\(y^2=x^3-x^2-17904276x+29164674024\) |
44.2.0.a.1 |
$[(59814/5, 526338/5)]$ |
47652.c1 |
47652b2 |
47652.c |
47652b |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{6} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$114$ |
$16$ |
$0$ |
$0.742078089$ |
$1$ |
|
$4$ |
$58320$ |
$1.174330$ |
$-162390710272000/47832147$ |
$[0, -1, 0, -20393, 1128018]$ |
\(y^2=x^3-x^2-20393x+1128018\) |
3.4.0.a.1, 6.8.0.b.1, 57.8.0-3.a.1.2, 114.16.0.? |
$[(157, 1331)]$ |
47652.c2 |
47652b1 |
47652.c |
47652b |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 11^{2} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$114$ |
$16$ |
$0$ |
$2.226234269$ |
$1$ |
|
$2$ |
$19440$ |
$0.625023$ |
$38912000/2381643$ |
$[0, -1, 0, 127, 5574]$ |
\(y^2=x^3-x^2+127x+5574\) |
3.4.0.a.1, 6.8.0.b.1, 57.8.0-3.a.1.1, 114.16.0.? |
$[(10, 88)]$ |
47652.d1 |
47652c1 |
47652.d |
47652c |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 11 \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1254$ |
$16$ |
$0$ |
$8.028484500$ |
$1$ |
|
$0$ |
$129600$ |
$1.497488$ |
$-1024000000/5643$ |
$[0, -1, 0, -48133, -4067855]$ |
\(y^2=x^3-x^2-48133x-4067855\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 66.8.0-3.a.1.2, 1254.16.0.? |
$[(111424/9, 36674351/9)]$ |
47652.d2 |
47652c2 |
47652.d |
47652c |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3 \cdot 11^{3} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1254$ |
$16$ |
$0$ |
$2.676161500$ |
$1$ |
|
$0$ |
$388800$ |
$2.046795$ |
$17997824000/27387987$ |
$[0, -1, 0, 125147, -21794399]$ |
\(y^2=x^3-x^2+125147x-21794399\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 66.8.0-3.a.1.1, 1254.16.0.? |
$[(4183/3, 315514/3)]$ |
47652.e1 |
47652f2 |
47652.e |
47652f |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( 2^{8} \cdot 3 \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$78624$ |
$1.120926$ |
$810448/363$ |
$[0, -1, 0, -4452, 55848]$ |
\(y^2=x^3-x^2-4452x+55848\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
47652.e2 |
47652f1 |
47652.e |
47652f |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 11 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$39312$ |
$0.774352$ |
$131072/99$ |
$[0, -1, 0, 963, 6030]$ |
\(y^2=x^3-x^2+963x+6030\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
47652.f1 |
47652a1 |
47652.f |
47652a |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{2} \cdot 19^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$60912$ |
$0.590321$ |
$-5914624/3267$ |
$[0, -1, 0, -481, -5522]$ |
\(y^2=x^3-x^2-481x-5522\) |
6.2.0.a.1 |
$[]$ |
47652.g1 |
47652j2 |
47652.g |
47652j |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 11^{2} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$5016$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$90240$ |
$1.006475$ |
$114489359728/9801$ |
$[0, 1, 0, -12204, 514836]$ |
\(y^2=x^3+x^2-12204x+514836\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bu.1, 76.12.0.?, 88.12.0.?, $\ldots$ |
$[]$ |
47652.g2 |
47652j1 |
47652.g |
47652j |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 11^{4} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$5016$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$45120$ |
$0.659903$ |
$-359661568/131769$ |
$[0, 1, 0, -709, 9056]$ |
\(y^2=x^3+x^2-709x+9056\) |
2.3.0.a.1, 4.6.0.e.1, 12.12.0.n.1, 38.6.0.b.1, 76.12.0.?, $\ldots$ |
$[]$ |
47652.h1 |
47652k1 |
47652.h |
47652k |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 11 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$44$ |
$2$ |
$0$ |
$2.076164541$ |
$1$ |
|
$2$ |
$98496$ |
$1.334192$ |
$145990721706064/5845851$ |
$[0, 1, 0, -49596, -4267692]$ |
\(y^2=x^3+x^2-49596x-4267692\) |
44.2.0.a.1 |
$[(-129, 12)]$ |
47652.i1 |
47652g2 |
47652.i |
47652g |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{6} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6$ |
$16$ |
$0$ |
$8.363710856$ |
$1$ |
|
$0$ |
$1108080$ |
$2.646549$ |
$-162390710272000/47832147$ |
$[0, 1, 0, -7361993, -7692903756]$ |
\(y^2=x^3+x^2-7361993x-7692903756\) |
3.8.0-3.a.1.1, 6.16.0-6.b.1.1 |
$[(286276/5, 148411824/5)]$ |
47652.i2 |
47652g1 |
47652.i |
47652g |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 11^{2} \cdot 19^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6$ |
$16$ |
$0$ |
$2.787903618$ |
$1$ |
|
$6$ |
$369360$ |
$2.097240$ |
$38912000/2381643$ |
$[0, 1, 0, 45727, -38506680]$ |
\(y^2=x^3+x^2+45727x-38506680\) |
3.8.0-3.a.1.2, 6.16.0-6.b.1.2 |
$[(751, 20493)]$ |
47652.j1 |
47652h2 |
47652.j |
47652h |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{5} \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$427680$ |
$1.887583$ |
$932410994128/29403$ |
$[0, 1, 0, -466532, -122803068]$ |
\(y^2=x^3+x^2-466532x-122803068\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
47652.j2 |
47652h1 |
47652.j |
47652h |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{10} \cdot 11 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$213840$ |
$1.541008$ |
$-3196715008/649539$ |
$[0, 1, 0, -27917, -2096220]$ |
\(y^2=x^3+x^2-27917x-2096220\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
47652.k1 |
47652i1 |
47652.k |
47652i |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{2} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1157328$ |
$2.062542$ |
$-5914624/3267$ |
$[0, 1, 0, -173761, 38917712]$ |
\(y^2=x^3+x^2-173761x+38917712\) |
6.2.0.a.1 |
$[]$ |