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 |
112200.g1 |
112200bx1 |
112200.g |
112200bx |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 5^{8} \cdot 11^{2} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1566720$ |
$2.176163$ |
$-6831460729492480/30318123$ |
$[0, -1, 0, -1834833, -956019963]$ |
\(y^2=x^3-x^2-1834833x-956019963\) |
6.2.0.a.1 |
$[]$ |
112200.cn1 |
112200bg1 |
112200.cn |
112200bg |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$313344$ |
$1.371443$ |
$-6831460729492480/30318123$ |
$[0, 1, 0, -73393, -7677517]$ |
\(y^2=x^3+x^2-73393x-7677517\) |
6.2.0.a.1 |
$[]$ |
224400.s1 |
224400hu1 |
224400.s |
224400hu |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.481260883$ |
$1$ |
|
$6$ |
$626688$ |
$1.371443$ |
$-6831460729492480/30318123$ |
$[0, -1, 0, -73393, 7677517]$ |
\(y^2=x^3-x^2-73393x+7677517\) |
6.2.0.a.1 |
$[(156, 17), (-252, 3179)]$ |
224400.hz1 |
224400go1 |
224400.hz |
224400go |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 5^{8} \cdot 11^{2} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$6.942712938$ |
$1$ |
|
$0$ |
$3133440$ |
$2.176163$ |
$-6831460729492480/30318123$ |
$[0, 1, 0, -1834833, 956019963]$ |
\(y^2=x^3+x^2-1834833x+956019963\) |
6.2.0.a.1 |
$[(19094/5, 108603/5)]$ |
336600.o1 |
336600o1 |
336600.o |
336600o |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 11^{2} \cdot 17^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.167173547$ |
$1$ |
|
$30$ |
$12533760$ |
$2.725468$ |
$-6831460729492480/30318123$ |
$[0, 0, 0, -16513500, 25829052500]$ |
\(y^2=x^3-16513500x+25829052500\) |
6.2.0.a.1 |
$[(2386, 3366), (1825, 42075)]$ |
336600.dr1 |
336600dr1 |
336600.dr |
336600dr |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{2} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.198264775$ |
$1$ |
|
$4$ |
$2506752$ |
$1.920750$ |
$-6831460729492480/30318123$ |
$[0, 0, 0, -660540, 206632420]$ |
\(y^2=x^3-660540x+206632420\) |
6.2.0.a.1 |
$[(464, 198)]$ |