| 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.y7 |
51870bd1 |
51870.y |
51870bd |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{4} \cdot 7^{3} \cdot 13^{3} \cdot 19 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$207480$ |
$384$ |
$5$ |
$1.251501891$ |
$1$ |
|
$17$ |
$663552$ |
$2.029808$ |
$3712533999213317890249/76090919904090000$ |
$0.99673$ |
$4.57477$ |
$[1, 0, 1, -322589, 69234536]$ |
\(y^2+xy+y=x^3-322589x+69234536\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$ |
$[(288, 343)]$ |
| 155610.fe7 |
155610j1 |
155610.fe |
155610j |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{18} \cdot 5^{4} \cdot 7^{3} \cdot 13^{3} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$207480$ |
$384$ |
$5$ |
$0.859266742$ |
$1$ |
|
$7$ |
$5308416$ |
$2.579117$ |
$3712533999213317890249/76090919904090000$ |
$0.99673$ |
$4.70574$ |
$[1, -1, 1, -2903297, -1869332479]$ |
\(y^2+xy+y=x^3-x^2-2903297x-1869332479\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$ |
$[(-1059, 4624)]$ |
| 259350.ek7 |
259350ek1 |
259350.ek |
259350ek |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{10} \cdot 7^{3} \cdot 13^{3} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$207480$ |
$384$ |
$5$ |
$8.868060072$ |
$1$ |
|
$1$ |
$15925248$ |
$2.834530$ |
$3712533999213317890249/76090919904090000$ |
$0.99673$ |
$4.75878$ |
$[1, 1, 1, -8064713, 8654317031]$ |
\(y^2+xy+y=x^3+x^2-8064713x+8654317031\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(174485/13, 81937874/13)]$ |
| 363090.bn7 |
363090bn1 |
363090.bn |
363090bn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{4} \cdot 7^{9} \cdot 13^{3} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$207480$ |
$384$ |
$5$ |
$4.583859254$ |
$1$ |
|
$3$ |
$31850496$ |
$3.002766$ |
$3712533999213317890249/76090919904090000$ |
$0.99673$ |
$4.79140$ |
$[1, 1, 0, -15806837, -23763252771]$ |
\(y^2+xy=x^3+x^2-15806837x-23763252771\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(7573, 535581)]$ |
| 414960.p7 |
414960p1 |
414960.p |
414960p |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{16} \cdot 3^{12} \cdot 5^{4} \cdot 7^{3} \cdot 13^{3} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$207480$ |
$384$ |
$5$ |
$4.492092777$ |
$1$ |
|
$3$ |
$15925248$ |
$2.722958$ |
$3712533999213317890249/76090919904090000$ |
$0.99673$ |
$4.48238$ |
$[0, -1, 0, -5161416, -4431010320]$ |
\(y^2=x^3-x^2-5161416x-4431010320\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.8, $\ldots$ |
$[(2644, 19968)]$ |
