| 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 |
| 19950.i1 |
19950e1 |
19950.i |
19950e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{8} \cdot 3^{12} \cdot 5^{10} \cdot 7^{13} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$532$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10483200$ |
$3.943146$ |
$-98735339854432038328225/250451215107692352768$ |
$1.04690$ |
$7.14317$ |
$[1, 1, 0, -205817825, -2636988172875]$ |
\(y^2+xy=x^3+x^2-205817825x-2636988172875\) |
532.2.0.? |
$[]$ |
| 19950.ct1 |
19950db1 |
19950.ct |
19950db |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 7^{13} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$532$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2096640$ |
$3.138424$ |
$-98735339854432038328225/250451215107692352768$ |
$1.04690$ |
$6.16785$ |
$[1, 0, 0, -8232713, -21095905383]$ |
\(y^2+xy=x^3-8232713x-21095905383\) |
532.2.0.? |
$[]$ |
| 59850.bb1 |
59850cq1 |
59850.bb |
59850cq |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{8} \cdot 3^{18} \cdot 5^{4} \cdot 7^{13} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$532$ |
$2$ |
$0$ |
$5.969215085$ |
$1$ |
|
$2$ |
$16773120$ |
$3.687733$ |
$-98735339854432038328225/250451215107692352768$ |
$1.04690$ |
$6.15108$ |
$[1, -1, 0, -74094417, 569589445341]$ |
\(y^2+xy=x^3-x^2-74094417x+569589445341\) |
532.2.0.? |
$[(8514, 741303)]$ |
| 59850.gg1 |
59850fe1 |
59850.gg |
59850fe |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{8} \cdot 3^{18} \cdot 5^{10} \cdot 7^{13} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$532$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$83865600$ |
$4.492447$ |
$-98735339854432038328225/250451215107692352768$ |
$1.04690$ |
$7.02899$ |
$[1, -1, 1, -1852360430, 71196828307197]$ |
\(y^2+xy+y=x^3-x^2-1852360430x+71196828307197\) |
532.2.0.? |
$[]$ |
| 139650.db1 |
139650gi1 |
139650.db |
139650gi |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{12} \cdot 5^{10} \cdot 7^{19} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$532$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$503193600$ |
$4.916100$ |
$-98735339854432038328225/250451215107692352768$ |
$1.04690$ |
$6.95540$ |
$[1, 0, 1, -10085073451, 904456688075798]$ |
\(y^2+xy+y=x^3-10085073451x+904456688075798\) |
532.2.0.? |
$[]$ |
| 139650.fj1 |
139650dc1 |
139650.fj |
139650dc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 7^{19} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$532$ |
$2$ |
$0$ |
$2.991082801$ |
$1$ |
|
$4$ |
$100638720$ |
$4.111382$ |
$-98735339854432038328225/250451215107692352768$ |
$1.04690$ |
$6.14028$ |
$[1, 1, 1, -403402938, 7235492143431]$ |
\(y^2+xy+y=x^3+x^2-403402938x+7235492143431\) |
532.2.0.? |
$[(-25775, 727307)]$ |
| 159600.ct1 |
159600db1 |
159600.ct |
159600db |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{20} \cdot 3^{12} \cdot 5^{4} \cdot 7^{13} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$532$ |
$2$ |
$0$ |
$2.865165179$ |
$1$ |
|
$0$ |
$50319360$ |
$3.831573$ |
$-98735339854432038328225/250451215107692352768$ |
$1.04690$ |
$5.79158$ |
$[0, -1, 0, -131723408, 1350137944512]$ |
\(y^2=x^3-x^2-131723408x+1350137944512\) |
532.2.0.? |
$[(-203446/5, 171532242/5)]$ |
| 159600.ez1 |
159600cm1 |
159600.ez |
159600cm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{20} \cdot 3^{12} \cdot 5^{10} \cdot 7^{13} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$532$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$251596800$ |
$4.636292$ |
$-98735339854432038328225/250451215107692352768$ |
$1.04690$ |
$6.59761$ |
$[0, 1, 0, -3293085208, 168760656893588]$ |
\(y^2=x^3+x^2-3293085208x+168760656893588\) |
532.2.0.? |
$[]$ |
| 379050.k1 |
379050k1 |
379050.k |
379050k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 7^{13} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$532$ |
$2$ |
$0$ |
$14.36309963$ |
$1$ |
|
$0$ |
$754790400$ |
$4.610641$ |
$-98735339854432038328225/250451215107692352768$ |
$1.04690$ |
$6.12937$ |
$[1, 1, 0, -2972009400, 144690871003200]$ |
\(y^2+xy=x^3+x^2-2972009400x+144690871003200\) |
532.2.0.? |
$[(835021/29, 290351173274/29)]$ |
| 379050.jf1 |
379050jf1 |
379050.jf |
379050jf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 5^{10} \cdot 7^{13} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$532$ |
$2$ |
$0$ |
$0.323391499$ |
$1$ |
|
$6$ |
$3773952000$ |
$5.415367$ |
$-98735339854432038328225/250451215107692352768$ |
$1.04690$ |
$6.88113$ |
$[1, 0, 0, -74300235013, 18086507475870017]$ |
\(y^2+xy=x^3-74300235013x+18086507475870017\) |
532.2.0.? |
$[(94118, 109164827)]$ |
| 418950.gi1 |
418950gi1 |
418950.gi |
418950gi |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{18} \cdot 5^{4} \cdot 7^{19} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$532$ |
$2$ |
$0$ |
$95.27771399$ |
$1$ |
|
$0$ |
$805109760$ |
$4.660683$ |
$-98735339854432038328225/250451215107692352768$ |
$1.04690$ |
$6.12837$ |
$[1, -1, 0, -3630626442, -195361918499084]$ |
\(y^2+xy=x^3-x^2-3630626442x-195361918499084\) |
532.2.0.? |
$[(14916807359878980542285854076333995643569460/11010719946596988427, 46554752782692994659800875470961091829658792861123073188057119242/11010719946596988427)]$ |
| 418950.ny1 |
418950ny1 |
418950.ny |
418950ny |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{18} \cdot 5^{10} \cdot 7^{19} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$532$ |
$2$ |
$0$ |
$52.87779654$ |
$1$ |
|
$0$ |
$4025548800$ |
$5.465408$ |
$-98735339854432038328225/250451215107692352768$ |
$1.04690$ |
$6.87432$ |
$[1, -1, 1, -90765661055, -24420330578046553]$ |
\(y^2+xy+y=x^3-x^2-90765661055x-24420330578046553\) |
532.2.0.? |
$[(1938734994885503979829503105/14186899879, 85307888280775677445091229318648404189284/14186899879)]$ |
| 478800.cw1 |
478800cw1 |
478800.cw |
478800cw |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{20} \cdot 3^{18} \cdot 5^{10} \cdot 7^{13} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$532$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$2012774400$ |
$5.185600$ |
$-98735339854432038328225/250451215107692352768$ |
$1.04690$ |
$6.54741$ |
$[0, 0, 0, -29637766875, -4556567373893750]$ |
\(y^2=x^3-29637766875x-4556567373893750\) |
532.2.0.? |
$[]$ |
| 478800.kc1 |
478800kc1 |
478800.kc |
478800kc |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{20} \cdot 3^{18} \cdot 5^{4} \cdot 7^{13} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$532$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$402554880$ |
$4.380875$ |
$-98735339854432038328225/250451215107692352768$ |
$1.04690$ |
$5.80908$ |
$[0, 0, 0, -1185510675, -36452538991150]$ |
\(y^2=x^3-1185510675x-36452538991150\) |
532.2.0.? |
$[]$ |
