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 |
112200.j1 |
112200bw1 |
112200.j |
112200bw |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3 \cdot 5^{8} \cdot 11^{7} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4488$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1666560$ |
$2.168682$ |
$-7840325008610/993845721$ |
$0.90222$ |
$4.33336$ |
$[0, -1, 0, -384208, 101334412]$ |
\(y^2=x^3-x^2-384208x+101334412\) |
4488.2.0.? |
$[]$ |
112200.ck1 |
112200bf1 |
112200.ck |
112200bf |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3 \cdot 5^{2} \cdot 11^{7} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4488$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$333312$ |
$1.363964$ |
$-7840325008610/993845721$ |
$0.90222$ |
$3.50290$ |
$[0, 1, 0, -15368, 804528]$ |
\(y^2=x^3+x^2-15368x+804528\) |
4488.2.0.? |
$[]$ |
224400.bh1 |
224400hz1 |
224400.bh |
224400hz |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3 \cdot 5^{2} \cdot 11^{7} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4488$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$666624$ |
$1.363964$ |
$-7840325008610/993845721$ |
$0.90222$ |
$3.30584$ |
$[0, -1, 0, -15368, -804528]$ |
\(y^2=x^3-x^2-15368x-804528\) |
4488.2.0.? |
$[]$ |
224400.hj1 |
224400gm1 |
224400.hj |
224400gm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3 \cdot 5^{8} \cdot 11^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4488$ |
$2$ |
$0$ |
$27.46222069$ |
$1$ |
|
$0$ |
$3333120$ |
$2.168682$ |
$-7840325008610/993845721$ |
$0.90222$ |
$4.08958$ |
$[0, 1, 0, -384208, -101334412]$ |
\(y^2=x^3+x^2-384208x-101334412\) |
4488.2.0.? |
$[(1893484930126/50863, 417656772305187468/50863)]$ |
336600.bd1 |
336600bd1 |
336600.bd |
336600bd |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3^{7} \cdot 5^{8} \cdot 11^{7} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4488$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13332480$ |
$2.717987$ |
$-7840325008610/993845721$ |
$0.90222$ |
$4.47723$ |
$[0, 0, 0, -3457875, -2732571250]$ |
\(y^2=x^3-3457875x-2732571250\) |
4488.2.0.? |
$[]$ |
336600.cz1 |
336600cz1 |
336600.cz |
336600cz |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 11^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4488$ |
$2$ |
$0$ |
$16.60244748$ |
$1$ |
|
$0$ |
$2666496$ |
$1.913269$ |
$-7840325008610/993845721$ |
$0.90222$ |
$3.71846$ |
$[0, 0, 0, -138315, -21860570]$ |
\(y^2=x^3-138315x-21860570\) |
4488.2.0.? |
$[(55416974/199, 395991947862/199)]$ |