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 |
28392.b1 |
28392u1 |
28392.b |
28392u |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{12} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$52$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$460800$ |
$2.131313$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$4.86346$ |
$[0, -1, 0, -320272, -77958596]$ |
\(y^2=x^3-x^2-320272x-77958596\) |
4.8.0.b.1, 52.16.0-4.b.1.1 |
$[]$ |
28392.u1 |
28392i1 |
28392.u |
28392i |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{12} \cdot 7^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.16.0.2 |
|
$4$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$5990400$ |
$3.413788$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$6.36433$ |
$[0, -1, 0, -54126024, -171491539428]$ |
\(y^2=x^3-x^2-54126024x-171491539428\) |
4.16.0-4.b.1.1 |
$[]$ |
56784.bv1 |
56784ba1 |
56784.bv |
56784ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{12} \cdot 7^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$52$ |
$16$ |
$0$ |
$0.125591543$ |
$1$ |
|
$10$ |
$921600$ |
$2.131313$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$4.55551$ |
$[0, 1, 0, -320272, 77958596]$ |
\(y^2=x^3+x^2-320272x+77958596\) |
4.8.0.b.1, 52.16.0-4.b.1.1 |
$[(488, 6174)]$ |
56784.cz1 |
56784o1 |
56784.cz |
56784o |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{12} \cdot 7^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.16.0.2 |
|
$4$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11980800$ |
$3.413788$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$5.96135$ |
$[0, 1, 0, -54126024, 171491539428]$ |
\(y^2=x^3+x^2-54126024x+171491539428\) |
4.16.0-4.b.1.1 |
$[]$ |
85176.k1 |
85176cf1 |
85176.k |
85176cf |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{18} \cdot 7^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$12$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$47923200$ |
$3.963093$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$6.32907$ |
$[0, 0, 0, -487134219, 4630758698774]$ |
\(y^2=x^3-487134219x+4630758698774\) |
4.8.0.b.1, 12.16.0-4.b.1.1 |
$[]$ |
85176.bz1 |
85176t1 |
85176.bz |
85176t |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{18} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3686400$ |
$2.680618$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$4.97345$ |
$[0, 0, 0, -2882451, 2107764542]$ |
\(y^2=x^3-2882451x+2107764542\) |
4.8.0.b.1, 156.16.0.? |
$[]$ |
170352.l1 |
170352eo1 |
170352.l |
170352eo |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{18} \cdot 7^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$12$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$95846400$ |
$3.963093$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$5.96487$ |
$[0, 0, 0, -487134219, -4630758698774]$ |
\(y^2=x^3-487134219x-4630758698774\) |
4.8.0.b.1, 12.16.0-4.b.1.1 |
$[]$ |
170352.fy1 |
170352fo1 |
170352.fy |
170352fo |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{18} \cdot 7^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$156$ |
$16$ |
$0$ |
$5.745013061$ |
$1$ |
|
$2$ |
$7372800$ |
$2.680618$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$4.68726$ |
$[0, 0, 0, -2882451, -2107764542]$ |
\(y^2=x^3-2882451x-2107764542\) |
4.8.0.b.1, 156.16.0.? |
$[(2427, 72058)]$ |
198744.ca1 |
198744ch1 |
198744.ca |
198744ch |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{12} \cdot 7^{14} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$28$ |
$16$ |
$0$ |
$1.236690937$ |
$1$ |
|
$4$ |
$287539200$ |
$4.386742$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$6.30622$ |
$[0, 1, 0, -2652175192, 58826902374176]$ |
\(y^2=x^3+x^2-2652175192x+58826902374176\) |
4.8.0.b.1, 28.16.0-4.b.1.1 |
$[(26420, 2683044)]$ |
198744.dt1 |
198744bc1 |
198744.dt |
198744bc |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{12} \cdot 7^{14} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$364$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$22118400$ |
$3.104267$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$5.04474$ |
$[0, 1, 0, -15693344, 26771185104]$ |
\(y^2=x^3+x^2-15693344x+26771185104\) |
4.8.0.b.1, 364.16.0.? |
$[]$ |
227136.h1 |
227136co1 |
227136.h |
227136co |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{12} \cdot 7^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.16.0.3 |
|
$8$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$95846400$ |
$3.760361$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$5.62849$ |
$[0, -1, 0, -216504097, 1372148819521]$ |
\(y^2=x^3-x^2-216504097x+1372148819521\) |
4.8.0.b.1, 8.16.0-4.b.1.1 |
$[]$ |
227136.em1 |
227136ef1 |
227136.em |
227136ef |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{12} \cdot 7^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$104$ |
$16$ |
$0$ |
$1.409864076$ |
$1$ |
|
$2$ |
$7372800$ |
$2.477886$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$4.38067$ |
$[0, -1, 0, -1281089, 624949857]$ |
\(y^2=x^3-x^2-1281089x+624949857\) |
4.8.0.b.1, 104.16.0.? |
$[(4064, 250047)]$ |
227136.fh1 |
227136ep1 |
227136.fh |
227136ep |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{12} \cdot 7^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.16.0.3 |
|
$8$ |
$16$ |
$0$ |
$0.338053326$ |
$1$ |
|
$6$ |
$95846400$ |
$3.760361$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$5.62849$ |
$[0, 1, 0, -216504097, -1372148819521]$ |
\(y^2=x^3+x^2-216504097x-1372148819521\) |
4.8.0.b.1, 8.16.0-4.b.1.1 |
$[(101963, 32196528)]$ |
227136.ix1 |
227136gw1 |
227136.ix |
227136gw |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{12} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$104$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7372800$ |
$2.477886$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$4.38067$ |
$[0, 1, 0, -1281089, -624949857]$ |
\(y^2=x^3+x^2-1281089x-624949857\) |
4.8.0.b.1, 104.16.0.? |
$[]$ |
397488.n1 |
397488n1 |
397488.n |
397488n |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{12} \cdot 7^{14} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$28$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$575078400$ |
$4.386742$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$5.96718$ |
$[0, -1, 0, -2652175192, -58826902374176]$ |
\(y^2=x^3-x^2-2652175192x-58826902374176\) |
4.8.0.b.1, 28.16.0-4.b.1.1 |
$[]$ |
397488.eq1 |
397488eq1 |
397488.eq |
397488eq |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{12} \cdot 7^{14} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$364$ |
$16$ |
$0$ |
$53.62434262$ |
$1$ |
|
$2$ |
$44236800$ |
$3.104267$ |
$-20994006260678308/3063651608241$ |
$1.01953$ |
$4.77353$ |
$[0, -1, 0, -15693344, -26771185104]$ |
\(y^2=x^3-x^2-15693344x-26771185104\) |
4.8.0.b.1, 364.16.0.? |
$[(9470, 820854), (4992221/10, 11117768319/10)]$ |