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 |
324928.a1 |
324928a1 |
324928.a |
324928a |
$1$ |
$1$ |
\( 2^{6} \cdot 5077 \) |
\( 2^{6} \cdot 5077 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10154$ |
$2$ |
$0$ |
$3.607661970$ |
$1$ |
|
$0$ |
$158720$ |
$-0.214817$ |
$37933056/5077$ |
$[0, 0, 0, -28, -50]$ |
\(y^2=x^3-28x-50\) |
10154.2.0.? |
$[(25/2, 35/2)]$ |
324928.b1 |
324928b1 |
324928.b |
324928b |
$1$ |
$1$ |
\( 2^{6} \cdot 5077 \) |
\( 2^{14} \cdot 5077 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10154$ |
$2$ |
$0$ |
$6.693939582$ |
$1$ |
|
$4$ |
$65536$ |
$0.296541$ |
$170368000/5077$ |
$[0, -1, 0, -293, 1981]$ |
\(y^2=x^3-x^2-293x+1981\) |
10154.2.0.? |
$[(12, 7), (20, 61)]$ |
324928.c1 |
324928c1 |
324928.c |
324928c |
$1$ |
$1$ |
\( 2^{6} \cdot 5077 \) |
\( 2^{14} \cdot 5077 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10154$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$190464$ |
$0.803759$ |
$4410243976192/5077$ |
$[0, -1, 0, -8677, -308227]$ |
\(y^2=x^3-x^2-8677x-308227\) |
10154.2.0.? |
$[]$ |
324928.d1 |
324928d1 |
324928.d |
324928d |
$1$ |
$1$ |
\( 2^{6} \cdot 5077 \) |
\( 2^{14} \cdot 5077 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10154$ |
$2$ |
$0$ |
$2.075567039$ |
$4$ |
$2$ |
$2$ |
$76800$ |
$0.342455$ |
$564600832/5077$ |
$[0, -1, 0, -437, -3347]$ |
\(y^2=x^3-x^2-437x-3347\) |
10154.2.0.? |
$[(-12, 5)]$ |
324928.e1 |
324928e1 |
324928.e |
324928e |
$1$ |
$1$ |
\( 2^{6} \cdot 5077 \) |
\( 2^{14} \cdot 5077 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10154$ |
$2$ |
$0$ |
$2.170048477$ |
$4$ |
$2$ |
$2$ |
$65536$ |
$0.296541$ |
$170368000/5077$ |
$[0, 1, 0, -293, -1981]$ |
\(y^2=x^3+x^2-293x-1981\) |
10154.2.0.? |
$[(-10, 7)]$ |
324928.f1 |
324928f1 |
324928.f |
324928f |
$1$ |
$1$ |
\( 2^{6} \cdot 5077 \) |
\( 2^{14} \cdot 5077 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10154$ |
$2$ |
$0$ |
$9.990526941$ |
$1$ |
|
$2$ |
$76800$ |
$0.342455$ |
$564600832/5077$ |
$[0, 1, 0, -437, 3347]$ |
\(y^2=x^3+x^2-437x+3347\) |
10154.2.0.? |
$[(14, 13), (101/2, 761/2)]$ |
324928.g1 |
324928g1 |
324928.g |
324928g |
$1$ |
$1$ |
\( 2^{6} \cdot 5077 \) |
\( 2^{14} \cdot 5077 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10154$ |
$2$ |
$0$ |
$1.830835760$ |
$4$ |
$2$ |
$2$ |
$190464$ |
$0.803759$ |
$4410243976192/5077$ |
$[0, 1, 0, -8677, 308227]$ |
\(y^2=x^3+x^2-8677x+308227\) |
10154.2.0.? |
$[(54, 7)]$ |
324928.h1 |
324928h1 |
324928.h |
324928h |
$1$ |
$1$ |
\( 2^{6} \cdot 5077 \) |
\( 2^{6} \cdot 5077 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10154$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$158720$ |
$-0.214817$ |
$37933056/5077$ |
$[0, 0, 0, -28, 50]$ |
\(y^2=x^3-28x+50\) |
10154.2.0.? |
$[]$ |