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 |
22386.k2 |
22386n1 |
22386.k |
22386n |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{3} \cdot 3^{21} \cdot 7^{3} \cdot 13^{2} \cdot 41 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6888$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$235872$ |
$1.998339$ |
$307348720697576375/198884536470802728$ |
$1.23057$ |
$4.72089$ |
$[1, 0, 1, 14059, -21445720]$ |
\(y^2+xy+y=x^3+14059x-21445720\) |
3.8.0-3.a.1.2, 6888.16.0.? |
$[]$ |
67158.bp2 |
67158cc1 |
67158.bp |
67158cc |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{3} \cdot 3^{27} \cdot 7^{3} \cdot 13^{2} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6888$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1886976$ |
$2.547646$ |
$307348720697576375/198884536470802728$ |
$1.23057$ |
$4.84732$ |
$[1, -1, 1, 126535, 579034433]$ |
\(y^2+xy+y=x^3-x^2+126535x+579034433\) |
3.8.0-3.a.1.1, 6888.16.0.? |
$[]$ |
156702.h2 |
156702cr1 |
156702.h |
156702cr |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{3} \cdot 3^{21} \cdot 7^{9} \cdot 13^{2} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6888$ |
$16$ |
$0$ |
$8.037684391$ |
$1$ |
|
$0$ |
$11321856$ |
$2.971294$ |
$307348720697576375/198884536470802728$ |
$1.23057$ |
$4.92897$ |
$[1, 1, 0, 688915, 7356570789]$ |
\(y^2+xy=x^3+x^2+688915x+7356570789\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 984.8.0.?, 6888.16.0.? |
$[(9439/5, 10924203/5)]$ |
179088.u2 |
179088bk1 |
179088.u |
179088bk |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{15} \cdot 3^{21} \cdot 7^{3} \cdot 13^{2} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6888$ |
$16$ |
$0$ |
$5.570790123$ |
$1$ |
|
$2$ |
$5660928$ |
$2.691486$ |
$307348720697576375/198884536470802728$ |
$1.23057$ |
$4.59696$ |
$[0, -1, 0, 224952, 1372526064]$ |
\(y^2=x^3-x^2+224952x+1372526064\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 6888.16.0.? |
$[(-284, 35856)]$ |
291018.cz2 |
291018cz1 |
291018.cz |
291018cz |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( - 2^{3} \cdot 3^{21} \cdot 7^{3} \cdot 13^{8} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$89544$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$39626496$ |
$3.280815$ |
$307348720697576375/198884536470802728$ |
$1.23057$ |
$4.98166$ |
$[1, 0, 0, 2376052, -47118622344]$ |
\(y^2+xy=x^3+2376052x-47118622344\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 6888.8.0.?, 89544.16.0.? |
$[]$ |
470106.ff2 |
470106ff1 |
470106.ff |
470106ff |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{3} \cdot 3^{27} \cdot 7^{9} \cdot 13^{2} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6888$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$90574848$ |
$3.520599$ |
$307348720697576375/198884536470802728$ |
$1.23057$ |
$5.01906$ |
$[1, -1, 1, 6200230, -198621211071]$ |
\(y^2+xy+y=x^3-x^2+6200230x-198621211071\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 984.8.0.?, 6888.16.0.? |
$[]$ |