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 |
405600.bd1 |
405600bd1 |
405600.bd |
405600bd |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{15} \cdot 5^{2} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$8.581844498$ |
$1$ |
|
$0$ |
$22913280$ |
$2.764217$ |
$43709080/14348907$ |
$[0, -1, 0, 377152, 2121332472]$ |
\(y^2=x^3-x^2+377152x+2121332472\) |
312.2.0.? |
$[(29221/11, 62803442/11)]$ |
405600.bk1 |
405600bk1 |
405600.bk |
405600bk |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{15} \cdot 5^{8} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$19.93529273$ |
$1$ |
|
$0$ |
$114566400$ |
$3.568935$ |
$43709080/14348907$ |
$[0, -1, 0, 9428792, -265185416588]$ |
\(y^2=x^3-x^2+9428792x-265185416588\) |
312.2.0.? |
$[(25590963324/1903, 2706841196942194/1903)]$ |
405600.ct1 |
405600ct1 |
405600.ct |
405600ct |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{15} \cdot 5^{8} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8812800$ |
$2.286461$ |
$43709080/14348907$ |
$[0, -1, 0, 55792, -120720588]$ |
\(y^2=x^3-x^2+55792x-120720588\) |
312.2.0.? |
$[]$ |
405600.cz1 |
405600cz1 |
405600.cz |
405600cz |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{15} \cdot 5^{2} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1762560$ |
$1.481741$ |
$43709080/14348907$ |
$[0, -1, 0, 2232, 964872]$ |
\(y^2=x^3-x^2+2232x+964872\) |
312.2.0.? |
$[]$ |
405600.eg1 |
405600eg1 |
405600.eg |
405600eg |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{15} \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$0.371995522$ |
$1$ |
|
$6$ |
$1762560$ |
$1.481741$ |
$43709080/14348907$ |
$[0, 1, 0, 2232, -964872]$ |
\(y^2=x^3+x^2+2232x-964872\) |
312.2.0.? |
$[(342, 6318)]$ |
405600.em1 |
405600em1 |
405600.em |
405600em |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{15} \cdot 5^{8} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$2.115341032$ |
$1$ |
|
$2$ |
$8812800$ |
$2.286461$ |
$43709080/14348907$ |
$[0, 1, 0, 55792, 120720588]$ |
\(y^2=x^3+x^2+55792x+120720588\) |
312.2.0.? |
$[(1447, 56862)]$ |
405600.fw1 |
405600fw1 |
405600.fw |
405600fw |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{15} \cdot 5^{8} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$114566400$ |
$3.568935$ |
$43709080/14348907$ |
$[0, 1, 0, 9428792, 265185416588]$ |
\(y^2=x^3+x^2+9428792x+265185416588\) |
312.2.0.? |
$[]$ |
405600.gc1 |
405600gc1 |
405600.gc |
405600gc |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{15} \cdot 5^{2} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$22913280$ |
$2.764217$ |
$43709080/14348907$ |
$[0, 1, 0, 377152, -2121332472]$ |
\(y^2=x^3+x^2+377152x-2121332472\) |
312.2.0.? |
$[]$ |