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 |
47775.q1 |
47775b1 |
47775.q |
47775b |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 13^{17} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$53.97444349$ |
$1$ |
|
$0$ |
$26732160$ |
$4.067451$ |
$48412981936758748562855/77853743274432041397$ |
$1.05367$ |
$6.64511$ |
$[1, 1, 1, 398095697, 4077685984826]$ |
\(y^2+xy+y=x^3+x^2+398095697x+4077685984826\) |
52.2.0.a.1 |
$[(417529881002269756258154/2167043201, 276815349952792458250717923040065072/2167043201)]$ |
47775.be1 |
47775cq1 |
47775.be |
47775cq |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13^{17} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3818880$ |
$3.094494$ |
$48412981936758748562855/77853743274432041397$ |
$1.05367$ |
$5.56147$ |
$[1, 0, 0, 8124402, -11887136703]$ |
\(y^2+xy=x^3+8124402x-11887136703\) |
52.2.0.a.1 |
$[]$ |
47775.cq1 |
47775bf1 |
47775.cq |
47775bf |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 13^{17} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$100.0823161$ |
$1$ |
|
$0$ |
$19094400$ |
$3.899212$ |
$48412981936758748562855/77853743274432041397$ |
$1.05367$ |
$6.45774$ |
$[1, 1, 0, 203110050, -1485892087875]$ |
\(y^2+xy=x^3+x^2+203110050x-1485892087875\) |
52.2.0.a.1 |
$[(48412381875196727869505440796812250641480644/16832864964351743689, 337562084049084133287806557700933021168536630418810975304644221515/16832864964351743689)]$ |
47775.dd1 |
47775da1 |
47775.dd |
47775da |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 3^{2} \cdot 5^{8} \cdot 7^{8} \cdot 13^{17} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$133660800$ |
$4.872169$ |
$48412981936758748562855/77853743274432041397$ |
$1.05367$ |
$7.54138$ |
$[1, 0, 1, 9952392424, 509690843318423]$ |
\(y^2+xy+y=x^3+9952392424x+509690843318423\) |
52.2.0.a.1 |
$[]$ |
143325.bm1 |
143325ba1 |
143325.bm |
143325ba |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 13^{17} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$152755200$ |
$4.448517$ |
$48412981936758748562855/77853743274432041397$ |
$1.05367$ |
$6.41538$ |
$[1, -1, 1, 1827990445, 40120914363072]$ |
\(y^2+xy+y=x^3-x^2+1827990445x+40120914363072\) |
52.2.0.a.1 |
$[]$ |
143325.bp1 |
143325be1 |
143325.bp |
143325be |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 3^{8} \cdot 5^{8} \cdot 7^{8} \cdot 13^{17} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1069286400$ |
$5.421471$ |
$48412981936758748562855/77853743274432041397$ |
$1.05367$ |
$7.39876$ |
$[1, -1, 1, 89571531820, -13761652769597428]$ |
\(y^2+xy+y=x^3-x^2+89571531820x-13761652769597428\) |
52.2.0.a.1 |
$[]$ |
143325.ei1 |
143325et1 |
143325.ei |
143325et |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 3^{8} \cdot 5^{2} \cdot 7^{8} \cdot 13^{17} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$213857280$ |
$4.616753$ |
$48412981936758748562855/77853743274432041397$ |
$1.05367$ |
$6.58542$ |
$[1, -1, 0, 3582861273, -110093938729034]$ |
\(y^2+xy=x^3-x^2+3582861273x-110093938729034\) |
52.2.0.a.1 |
$[]$ |
143325.es1 |
143325ej1 |
143325.es |
143325ej |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 13^{17} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30551040$ |
$3.643799$ |
$48412981936758748562855/77853743274432041397$ |
$1.05367$ |
$5.60205$ |
$[1, -1, 0, 73119618, 320952690981]$ |
\(y^2+xy=x^3-x^2+73119618x+320952690981\) |
52.2.0.a.1 |
$[]$ |