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.h1 |
112200s1 |
112200.h |
112200s |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 11 \cdot 17^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$0.705649858$ |
$1$ |
|
$12$ |
$99072$ |
$0.825137$ |
$-169366988800/4377483$ |
$0.88712$ |
$3.01937$ |
$[0, -1, 0, -2483, 49512]$ |
\(y^2=x^3-x^2-2483x+49512\) |
374.2.0.? |
$[(11, 153), (-57, 51)]$ |
112200.cm1 |
112200ck1 |
112200.cm |
112200ck |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 11 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$495360$ |
$1.629856$ |
$-169366988800/4377483$ |
$0.88712$ |
$3.84983$ |
$[0, 1, 0, -62083, 6064838]$ |
\(y^2=x^3+x^2-62083x+6064838\) |
374.2.0.? |
$[]$ |
224400.r1 |
224400ht1 |
224400.r |
224400ht |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 11 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$10.63547139$ |
$1$ |
|
$0$ |
$990720$ |
$1.629856$ |
$-169366988800/4377483$ |
$0.88712$ |
$3.63325$ |
$[0, -1, 0, -62083, -6064838]$ |
\(y^2=x^3-x^2-62083x-6064838\) |
374.2.0.? |
$[(110341/10, 35603811/10)]$ |
224400.ib1 |
224400gp1 |
224400.ib |
224400gp |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 11 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$198144$ |
$0.825137$ |
$-169366988800/4377483$ |
$0.88712$ |
$2.84951$ |
$[0, 1, 0, -2483, -49512]$ |
\(y^2=x^3+x^2-2483x-49512\) |
374.2.0.? |
$[]$ |
336600.p1 |
336600p1 |
336600.p |
336600p |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 11 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$792576$ |
$1.374443$ |
$-169366988800/4377483$ |
$0.88712$ |
$3.27667$ |
$[0, 0, 0, -22350, -1314475]$ |
\(y^2=x^3-22350x-1314475\) |
374.2.0.? |
$[]$ |
336600.dq1 |
336600dq1 |
336600.dq |
336600dq |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{10} \cdot 11 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$8.886049389$ |
$1$ |
|
$0$ |
$3962880$ |
$2.179161$ |
$-169366988800/4377483$ |
$0.88712$ |
$4.03544$ |
$[0, 0, 0, -558750, -164309375]$ |
\(y^2=x^3-558750x-164309375\) |
374.2.0.? |
$[(46356/7, 4253621/7)]$ |