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 |
51870.m1 |
51870q1 |
51870.m |
51870q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{5} \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$5.889019619$ |
$1$ |
|
$3$ |
$51200$ |
$0.737397$ |
$26967882743214841/58820580$ |
$0.89263$ |
$3.48487$ |
$[1, 1, 0, -6247, -192671]$ |
\(y^2+xy=x^3+x^2-6247x-192671\) |
2.3.0.a.1, 56.6.0.c.1, 7410.6.0.?, 207480.12.0.? |
$[(315, 5248)]$ |
155610.dl1 |
155610by1 |
155610.dl |
155610by |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{11} \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$409600$ |
$1.286703$ |
$26967882743214841/58820580$ |
$0.89263$ |
$3.71599$ |
$[1, -1, 1, -56228, 5145891]$ |
\(y^2+xy+y=x^3-x^2-56228x+5145891\) |
2.3.0.a.1, 56.6.0.c.1, 7410.6.0.?, 207480.12.0.? |
$[]$ |
259350.gi1 |
259350gi1 |
259350.gi |
259350gi |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{5} \cdot 5^{7} \cdot 7^{2} \cdot 13 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1228800$ |
$1.542116$ |
$26967882743214841/58820580$ |
$0.89263$ |
$3.80959$ |
$[1, 0, 0, -156188, -23771508]$ |
\(y^2+xy=x^3-156188x-23771508\) |
2.3.0.a.1, 56.6.0.c.1, 7410.6.0.?, 207480.12.0.? |
$[]$ |
363090.ci1 |
363090ci1 |
363090.ci |
363090ci |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{5} \cdot 5 \cdot 7^{8} \cdot 13 \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$1.956280950$ |
$1$ |
|
$17$ |
$2457600$ |
$1.710352$ |
$26967882743214841/58820580$ |
$0.89263$ |
$3.86715$ |
$[1, 0, 1, -306129, 65167792]$ |
\(y^2+xy+y=x^3-306129x+65167792\) |
2.3.0.a.1, 56.6.0.c.1, 7410.6.0.?, 207480.12.0.? |
$[(305, 288), (-577, 7344)]$ |
414960.hr1 |
414960hr1 |
414960.hr |
414960hr |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{14} \cdot 3^{5} \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$1.595695782$ |
$1$ |
|
$5$ |
$1228800$ |
$1.430544$ |
$26967882743214841/58820580$ |
$0.89263$ |
$3.56767$ |
$[0, 1, 0, -99960, 12131028]$ |
\(y^2=x^3+x^2-99960x+12131028\) |
2.3.0.a.1, 56.6.0.c.1, 7410.6.0.?, 207480.12.0.? |
$[(183, 18)]$ |