| 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 |
| 88935.l1 |
88935c1 |
88935.l |
88935c |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{14} \cdot 5^{3} \cdot 7^{8} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$9.369335097$ |
$1$ |
|
$6$ |
$1016064$ |
$2.127956$ |
$-7558595228569/597871125$ |
$1.02249$ |
$4.40035$ |
$[1, 1, 1, -362601, 89449548]$ |
\(y^2+xy+y=x^3+x^2-362601x+89449548\) |
20.2.0.a.1 |
$[(274, 3143), (3283/2, 145429/2)]$ |
| 88935.w1 |
88935cj1 |
88935.w |
88935cj |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{14} \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.551329615$ |
$1$ |
|
$6$ |
$145152$ |
$1.155003$ |
$-7558595228569/597871125$ |
$1.02249$ |
$3.37580$ |
$[1, 0, 0, -7400, -261843]$ |
\(y^2+xy=x^3-7400x-261843\) |
20.2.0.a.1 |
$[(169, 1738)]$ |
| 88935.br1 |
88935b1 |
88935.br |
88935b |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{14} \cdot 5^{3} \cdot 7^{8} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$11176704$ |
$3.326904$ |
$-7558595228569/597871125$ |
$1.02249$ |
$5.66288$ |
$[1, 1, 0, -43874723, -119276722242]$ |
\(y^2+xy=x^3+x^2-43874723x-119276722242\) |
20.2.0.a.1 |
$[]$ |
| 88935.by1 |
88935ch1 |
88935.by |
88935ch |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{14} \cdot 5^{3} \cdot 7^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.313402385$ |
$1$ |
|
$4$ |
$1596672$ |
$2.353951$ |
$-7558595228569/597871125$ |
$1.02249$ |
$4.63833$ |
$[1, 0, 1, -895403, 347617631]$ |
\(y^2+xy+y=x^3-895403x+347617631\) |
20.2.0.a.1 |
$[(615, 5137)]$ |
| 266805.bb1 |
266805bb1 |
266805.bb |
266805bb |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{20} \cdot 5^{3} \cdot 7^{2} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12773376$ |
$2.903255$ |
$-7558595228569/597871125$ |
$1.02249$ |
$4.75806$ |
$[1, -1, 1, -8058623, -9385676044]$ |
\(y^2+xy+y=x^3-x^2-8058623x-9385676044\) |
20.2.0.a.1 |
$[]$ |
| 266805.bu1 |
266805bu1 |
266805.bu |
266805bu |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{20} \cdot 5^{3} \cdot 7^{8} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$89413632$ |
$3.876209$ |
$-7558595228569/597871125$ |
$1.02249$ |
$5.69252$ |
$[1, -1, 1, -394872512, 3220076628024]$ |
\(y^2+xy+y=x^3-x^2-394872512x+3220076628024\) |
20.2.0.a.1 |
$[]$ |
| 266805.dn1 |
266805dn1 |
266805.dn |
266805dn |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{20} \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1161216$ |
$1.704308$ |
$-7558595228569/597871125$ |
$1.02249$ |
$3.60654$ |
$[1, -1, 0, -66600, 7069761]$ |
\(y^2+xy=x^3-x^2-66600x+7069761\) |
20.2.0.a.1 |
$[]$ |
| 266805.dq1 |
266805dq1 |
266805.dq |
266805dq |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{20} \cdot 5^{3} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8128512$ |
$2.677265$ |
$-7558595228569/597871125$ |
$1.02249$ |
$4.54101$ |
$[1, -1, 0, -3263409, -2418401210]$ |
\(y^2+xy=x^3-x^2-3263409x-2418401210\) |
20.2.0.a.1 |
$[]$ |
| 444675.cc1 |
444675cc1 |
444675.cc |
444675cc |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{14} \cdot 5^{9} \cdot 7^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1.604134801$ |
$1$ |
|
$2$ |
$38320128$ |
$3.158669$ |
$-7558595228569/597871125$ |
$1.02249$ |
$4.80684$ |
$[1, 1, 1, -22385063, 43452203906]$ |
\(y^2+xy+y=x^3+x^2-22385063x+43452203906\) |
20.2.0.a.1 |
$[(-1281, 265267)]$ |
| 444675.cj1 |
444675cj1 |
444675.cj |
444675cj |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{14} \cdot 5^{9} \cdot 7^{8} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$5.193448870$ |
$1$ |
|
$2$ |
$268240896$ |
$4.131622$ |
$-7558595228569/597871125$ |
$1.02249$ |
$5.70460$ |
$[1, 0, 0, -1096868088, -14907396544083]$ |
\(y^2+xy=x^3-1096868088x-14907396544083\) |
20.2.0.a.1 |
$[(125487, 42639669)]$ |
| 444675.fj1 |
444675fj1 |
444675.fj |
444675fj |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{14} \cdot 5^{9} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$8.045863789$ |
$1$ |
|
$0$ |
$3483648$ |
$1.959721$ |
$-7558595228569/597871125$ |
$1.02249$ |
$3.70055$ |
$[1, 1, 0, -185000, -32730375]$ |
\(y^2+xy=x^3+x^2-185000x-32730375\) |
20.2.0.a.1 |
$[(728735/2, 621363415/2)]$ |
| 444675.gq1 |
444675gq1 |
444675.gq |
444675gq |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{14} \cdot 5^{9} \cdot 7^{8} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1.178607077$ |
$1$ |
|
$2$ |
$24385536$ |
$2.932674$ |
$-7558595228569/597871125$ |
$1.02249$ |
$4.59831$ |
$[1, 0, 1, -9065026, 11199323573]$ |
\(y^2+xy+y=x^3-9065026x+11199323573\) |
20.2.0.a.1 |
$[(-3083, 100766)]$ |
