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 |
19950.f1 |
19950q1 |
19950.f |
19950q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{9} \cdot 7 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$228480$ |
$1.825827$ |
$-252076657013/12708347904$ |
$[1, 1, 0, -16450, 7616500]$ |
\(y^2+xy=x^3+x^2-16450x+7616500\) |
5320.2.0.? |
$[]$ |
19950.cq1 |
19950dg1 |
19950.cq |
19950dg |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{3} \cdot 7 \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$0.060332826$ |
$1$ |
|
$14$ |
$45696$ |
$1.021109$ |
$-252076657013/12708347904$ |
$[1, 0, 0, -658, 60932]$ |
\(y^2+xy=x^3-658x+60932\) |
5320.2.0.? |
$[(-28, 254)]$ |
59850.bo1 |
59850cy1 |
59850.bo |
59850cy |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{17} \cdot 3^{12} \cdot 5^{3} \cdot 7 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$365568$ |
$1.570414$ |
$-252076657013/12708347904$ |
$[1, -1, 0, -5922, -1645164]$ |
\(y^2+xy=x^3-x^2-5922x-1645164\) |
5320.2.0.? |
$[]$ |
59850.gr1 |
59850gs1 |
59850.gr |
59850gs |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{17} \cdot 3^{12} \cdot 5^{9} \cdot 7 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1827840$ |
$2.375134$ |
$-252076657013/12708347904$ |
$[1, -1, 1, -148055, -205793553]$ |
\(y^2+xy+y=x^3-x^2-148055x-205793553\) |
5320.2.0.? |
$[]$ |
139650.cl1 |
139650fh1 |
139650.cl |
139650fh |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{9} \cdot 7^{7} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10967040$ |
$2.798782$ |
$-252076657013/12708347904$ |
$[1, 0, 1, -806076, -2614877702]$ |
\(y^2+xy+y=x^3-806076x-2614877702\) |
5320.2.0.? |
$[]$ |
139650.er1 |
139650cx1 |
139650.er |
139650cx |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{3} \cdot 7^{7} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$0.415331707$ |
$1$ |
|
$26$ |
$2193408$ |
$1.994062$ |
$-252076657013/12708347904$ |
$[1, 1, 1, -32243, -20931919]$ |
\(y^2+xy+y=x^3+x^2-32243x-20931919\) |
5320.2.0.? |
$[(531, 10318), (3555, 209902)]$ |
159600.db1 |
159600dg1 |
159600.db |
159600dg |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{29} \cdot 3^{6} \cdot 5^{3} \cdot 7 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1096704$ |
$1.714254$ |
$-252076657013/12708347904$ |
$[0, -1, 0, -10528, -3899648]$ |
\(y^2=x^3-x^2-10528x-3899648\) |
5320.2.0.? |
$[]$ |
159600.fh1 |
159600w1 |
159600.fh |
159600w |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{29} \cdot 3^{6} \cdot 5^{9} \cdot 7 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5483520$ |
$2.518974$ |
$-252076657013/12708347904$ |
$[0, 1, 0, -263208, -487982412]$ |
\(y^2=x^3+x^2-263208x-487982412\) |
5320.2.0.? |
$[]$ |
379050.d1 |
379050d1 |
379050.d |
379050d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{3} \cdot 7 \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$2.855275124$ |
$1$ |
|
$2$ |
$16450560$ |
$2.493328$ |
$-252076657013/12708347904$ |
$[1, 1, 0, -237545, -418407675]$ |
\(y^2+xy=x^3+x^2-237545x-418407675\) |
5320.2.0.? |
$[(1005, 18450)]$ |
379050.iv1 |
379050iv1 |
379050.iv |
379050iv |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{9} \cdot 7 \cdot 19^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$0.895216422$ |
$1$ |
|
$20$ |
$82252800$ |
$3.298046$ |
$-252076657013/12708347904$ |
$[1, 0, 0, -5938638, -52289082108]$ |
\(y^2+xy=x^3-5938638x-52289082108\) |
5320.2.0.? |
$[(14052, 1617474), (5052, 213474)]$ |
418950.ig1 |
418950ig1 |
418950.ig |
418950ig |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{17} \cdot 3^{12} \cdot 5^{3} \cdot 7^{7} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17547264$ |
$2.543369$ |
$-252076657013/12708347904$ |
$[1, -1, 0, -290187, 564871621]$ |
\(y^2+xy=x^3-x^2-290187x+564871621\) |
5320.2.0.? |
$[]$ |
418950.qh1 |
418950qh1 |
418950.qh |
418950qh |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{17} \cdot 3^{12} \cdot 5^{9} \cdot 7^{7} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1.479391093$ |
$1$ |
|
$4$ |
$87736320$ |
$3.348087$ |
$-252076657013/12708347904$ |
$[1, -1, 1, -7254680, 70601697947]$ |
\(y^2+xy+y=x^3-x^2-7254680x+70601697947\) |
5320.2.0.? |
$[(5469, 438265)]$ |
478800.u1 |
478800u1 |
478800.u |
478800u |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{29} \cdot 3^{12} \cdot 5^{9} \cdot 7 \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43868160$ |
$3.068279$ |
$-252076657013/12708347904$ |
$[0, 0, 0, -2368875, 13173156250]$ |
\(y^2=x^3-2368875x+13173156250\) |
5320.2.0.? |
$[]$ |
478800.if1 |
478800if1 |
478800.if |
478800if |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{29} \cdot 3^{12} \cdot 5^{3} \cdot 7 \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1.521158847$ |
$1$ |
|
$4$ |
$8773632$ |
$2.263561$ |
$-252076657013/12708347904$ |
$[0, 0, 0, -94755, 105385250]$ |
\(y^2=x^3-94755x+105385250\) |
5320.2.0.? |
$[(305, 10240)]$ |