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 |
75810.o2 |
75810i2 |
75810.o |
75810i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{8} \cdot 7 \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$5253120$ |
$2.741177$ |
$-2347864201171/3986718750$ |
$0.95560$ |
$5.01551$ |
$[1, 1, 0, -1899228, 1997417682]$ |
\(y^2+xy=x^3+x^2-1899228x+1997417682\) |
2.3.0.a.1, 168.6.0.?, 228.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[]$ |
75810.df2 |
75810dc2 |
75810.df |
75810dc |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{8} \cdot 7 \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$276480$ |
$1.268955$ |
$-2347864201171/3986718750$ |
$0.95560$ |
$3.44318$ |
$[1, 0, 0, -5261, -291765]$ |
\(y^2+xy=x^3-5261x-291765\) |
2.3.0.a.1, 168.6.0.?, 228.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[]$ |
227430.ci2 |
227430dd2 |
227430.ci |
227430dd |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{12} \cdot 5^{8} \cdot 7 \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$2.072175356$ |
$1$ |
|
$14$ |
$2211840$ |
$1.818262$ |
$-2347864201171/3986718750$ |
$0.95560$ |
$3.67091$ |
$[1, -1, 0, -47349, 7877655]$ |
\(y^2+xy=x^3-x^2-47349x+7877655\) |
2.3.0.a.1, 168.6.0.?, 228.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[(81, 2097), (31, 2522)]$ |
227430.fo2 |
227430c2 |
227430.fo |
227430c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{12} \cdot 5^{8} \cdot 7 \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$24.88143161$ |
$1$ |
|
$0$ |
$42024960$ |
$3.290482$ |
$-2347864201171/3986718750$ |
$0.95560$ |
$5.10319$ |
$[1, -1, 1, -17093057, -53947370469]$ |
\(y^2+xy+y=x^3-x^2-17093057x-53947370469\) |
2.3.0.a.1, 168.6.0.?, 228.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[(682721316471/3434, 561417075822667891/3434)]$ |
379050.y2 |
379050y2 |
379050.y |
379050y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{14} \cdot 7 \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$10.56663017$ |
$1$ |
|
$0$ |
$6635520$ |
$2.073673$ |
$-2347864201171/3986718750$ |
$0.95560$ |
$3.76353$ |
$[1, 1, 0, -131525, -36470625]$ |
\(y^2+xy=x^3+x^2-131525x-36470625\) |
2.3.0.a.1, 168.6.0.?, 228.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[(29971/6, 4399171/6)]$ |
379050.iq2 |
379050iq2 |
379050.iq |
379050iq |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{14} \cdot 7 \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$24.60011794$ |
$1$ |
|
$0$ |
$126074880$ |
$3.545895$ |
$-2347864201171/3986718750$ |
$0.95560$ |
$5.13886$ |
$[1, 0, 0, -47480713, 249772171667]$ |
\(y^2+xy=x^3-47480713x+249772171667\) |
2.3.0.a.1, 168.6.0.?, 228.6.0.?, 1064.6.0.?, 3192.12.0.? |
$[(65666577803/4826, 41643726817555687/4826)]$ |