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 |
379050.u1 |
379050u1 |
379050.u |
379050u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{15} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$42681600$ |
$3.063309$ |
$20822343029/688128$ |
$0.90424$ |
$4.81103$ |
$[1, 1, 0, -18415700, -29544366000]$ |
\(y^2+xy=x^3+x^2-18415700x-29544366000\) |
840.2.0.? |
$[]$ |
379050.cb1 |
379050cb1 |
379050.cb |
379050cb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{15} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$449280$ |
$0.786371$ |
$20822343029/688128$ |
$0.90424$ |
$2.68395$ |
$[1, 1, 0, -2040, 33600]$ |
\(y^2+xy=x^3+x^2-2040x+33600\) |
840.2.0.? |
$[]$ |
379050.io1 |
379050io1 |
379050.io |
379050io |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{15} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$1.165708411$ |
$1$ |
|
$2$ |
$2246400$ |
$1.591091$ |
$20822343029/688128$ |
$0.90424$ |
$3.43571$ |
$[1, 0, 0, -51013, 4302017]$ |
\(y^2+xy=x^3-51013x+4302017\) |
840.2.0.? |
$[(202, 1399)]$ |
379050.jx1 |
379050jx1 |
379050.jx |
379050jx |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{15} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$4.099759238$ |
$1$ |
|
$2$ |
$8536320$ |
$2.258591$ |
$20822343029/688128$ |
$0.90424$ |
$4.05928$ |
$[1, 0, 0, -736628, -236354928]$ |
\(y^2+xy=x^3-736628x-236354928\) |
840.2.0.? |
$[(-552, 1740)]$ |