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 |
10626.q1 |
10626o1 |
10626.q |
10626o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{11} \cdot 3^{5} \cdot 7 \cdot 11^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$3864$ |
$2$ |
$0$ |
$0.064126045$ |
$1$ |
|
$12$ |
$7040$ |
$0.596117$ |
$-172715635009/9694992384$ |
$0.91952$ |
$3.28548$ |
$[1, 0, 0, -116, 4752]$ |
\(y^2+xy=x^3-116x+4752\) |
3864.2.0.? |
$[(4, 64)]$ |
31878.r1 |
31878e1 |
31878.r |
31878e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{11} \cdot 3^{11} \cdot 7 \cdot 11^{2} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$56320$ |
$1.145422$ |
$-172715635009/9694992384$ |
$0.91952$ |
$3.57307$ |
$[1, -1, 0, -1044, -128304]$ |
\(y^2+xy=x^3-x^2-1044x-128304\) |
3864.2.0.? |
$[]$ |
74382.bd1 |
74382bh1 |
74382.bd |
74382bh |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( - 2^{11} \cdot 3^{5} \cdot 7^{7} \cdot 11^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$0.979628942$ |
$1$ |
|
$4$ |
$337920$ |
$1.569071$ |
$-172715635009/9694992384$ |
$0.91952$ |
$3.75639$ |
$[1, 1, 1, -5685, -1635621]$ |
\(y^2+xy+y=x^3+x^2-5685x-1635621\) |
3864.2.0.? |
$[(279, 4172)]$ |
85008.m1 |
85008br1 |
85008.m |
85008br |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{23} \cdot 3^{5} \cdot 7 \cdot 11^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$2.319657643$ |
$1$ |
|
$2$ |
$168960$ |
$1.289265$ |
$-172715635009/9694992384$ |
$0.91952$ |
$3.41638$ |
$[0, -1, 0, -1856, -304128]$ |
\(y^2=x^3-x^2-1856x-304128\) |
3864.2.0.? |
$[(864, 25344)]$ |
116886.r1 |
116886v1 |
116886.r |
116886v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{5} \cdot 7 \cdot 11^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$3.513241814$ |
$1$ |
|
$0$ |
$844800$ |
$1.795065$ |
$-172715635009/9694992384$ |
$0.91952$ |
$3.84329$ |
$[1, 0, 1, -14039, -6338950]$ |
\(y^2+xy+y=x^3-14039x-6338950\) |
3864.2.0.? |
$[(843/2, 1331/2)]$ |
223146.p1 |
223146cw1 |
223146.p |
223146cw |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( - 2^{11} \cdot 3^{11} \cdot 7^{7} \cdot 11^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1.305498785$ |
$1$ |
|
$4$ |
$2703360$ |
$2.118378$ |
$-172715635009/9694992384$ |
$0.91952$ |
$3.95653$ |
$[1, -1, 0, -51165, 44110597]$ |
\(y^2+xy=x^3-x^2-51165x+44110597\) |
3864.2.0.? |
$[(779, 21440)]$ |
244398.bo1 |
244398bo1 |
244398.bo |
244398bo |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23^{2} \) |
\( - 2^{11} \cdot 3^{5} \cdot 7 \cdot 11^{2} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$0.363707197$ |
$1$ |
|
$6$ |
$3717120$ |
$2.163864$ |
$-172715635009/9694992384$ |
$0.91952$ |
$3.97152$ |
$[1, 0, 0, -61375, -57940327]$ |
\(y^2+xy=x^3-61375x-57940327\) |
3864.2.0.? |
$[(1424, 51659)]$ |
255024.dv1 |
255024dv1 |
255024.dv |
255024dv |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{23} \cdot 3^{11} \cdot 7 \cdot 11^{2} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1351680$ |
$1.838570$ |
$-172715635009/9694992384$ |
$0.91952$ |
$3.64438$ |
$[0, 0, 0, -16707, 8228162]$ |
\(y^2=x^3-16707x+8228162\) |
3864.2.0.? |
$[]$ |
265650.bt1 |
265650bt1 |
265650.bt |
265650bt |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{11} \cdot 3^{5} \cdot 5^{6} \cdot 7 \cdot 11^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$3.692913957$ |
$1$ |
|
$2$ |
$985600$ |
$1.400835$ |
$-172715635009/9694992384$ |
$0.91952$ |
$3.21190$ |
$[1, 1, 0, -2900, 594000]$ |
\(y^2+xy=x^3+x^2-2900x+594000\) |
3864.2.0.? |
$[(31, 716)]$ |
340032.bz1 |
340032bz1 |
340032.bz |
340032bz |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{29} \cdot 3^{5} \cdot 7 \cdot 11^{2} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1351680$ |
$1.635838$ |
$-172715635009/9694992384$ |
$0.91952$ |
$3.37106$ |
$[0, -1, 0, -7425, 2440449]$ |
\(y^2=x^3-x^2-7425x+2440449\) |
3864.2.0.? |
$[]$ |
340032.fn1 |
340032fn1 |
340032.fn |
340032fn |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{29} \cdot 3^{5} \cdot 7 \cdot 11^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$2.798632154$ |
$1$ |
|
$2$ |
$1351680$ |
$1.635838$ |
$-172715635009/9694992384$ |
$0.91952$ |
$3.37106$ |
$[0, 1, 0, -7425, -2440449]$ |
\(y^2=x^3+x^2-7425x-2440449\) |
3864.2.0.? |
$[(165, 924)]$ |
350658.ds1 |
350658ds1 |
350658.ds |
350658ds |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{11} \cdot 7 \cdot 11^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1.771273436$ |
$1$ |
|
$2$ |
$6758400$ |
$2.344372$ |
$-172715635009/9694992384$ |
$0.91952$ |
$4.02887$ |
$[1, -1, 1, -126347, 171151643]$ |
\(y^2+xy+y=x^3-x^2-126347x+171151643\) |
3864.2.0.? |
$[(3, 13066)]$ |