| 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.y8 |
51870bd4 |
51870.y |
51870bd |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2 \cdot 3^{3} \cdot 5 \cdot 7^{12} \cdot 13^{3} \cdot 19^{4} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$207480$ |
$384$ |
$5$ |
$5.006007564$ |
$1$ |
|
$6$ |
$2654208$ |
$2.722958$ |
$1308812680909424992398551/1070002284841633041990$ |
$0.98565$ |
$5.11502$ |
$[1, 0, 1, 2278861, -850446484]$ |
\(y^2+xy+y=x^3+2278861x-850446484\) |
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, $\ldots$ |
$[(486, 19042)]$ |
| 155610.fe8 |
155610j5 |
155610.fe |
155610j |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2 \cdot 3^{9} \cdot 5 \cdot 7^{12} \cdot 13^{3} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$207480$ |
$384$ |
$5$ |
$3.437066969$ |
$1$ |
|
$0$ |
$21233664$ |
$3.272263$ |
$1308812680909424992398551/1070002284841633041990$ |
$0.98565$ |
$5.19634$ |
$[1, -1, 1, 20509753, 22962055061]$ |
\(y^2+xy+y=x^3-x^2+20509753x+22962055061\) |
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, $\ldots$ |
$[(709/4, 9886701/4)]$ |
| 259350.ek8 |
259350ek4 |
259350.ek |
259350ek |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2 \cdot 3^{3} \cdot 5^{7} \cdot 7^{12} \cdot 13^{3} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$207480$ |
$384$ |
$5$ |
$35.47224029$ |
$1$ |
|
$0$ |
$63700992$ |
$3.527676$ |
$1308812680909424992398551/1070002284841633041990$ |
$0.98565$ |
$5.22927$ |
$[1, 1, 1, 56971537, -106305810469]$ |
\(y^2+xy+y=x^3+x^2+56971537x-106305810469\) |
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, $\ldots$ |
$[(11426344905904475/573482, 1245131616593600393107241/573482)]$ |
| 363090.bn8 |
363090bn5 |
363090.bn |
363090bn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( - 2 \cdot 3^{3} \cdot 5 \cdot 7^{18} \cdot 13^{3} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$207480$ |
$384$ |
$5$ |
$18.33543701$ |
$4$ |
$2$ |
$0$ |
$127401984$ |
$3.695911$ |
$1308812680909424992398551/1070002284841633041990$ |
$0.98565$ |
$5.24953$ |
$[1, 1, 0, 111664213, 291814808139]$ |
\(y^2+xy=x^3+x^2+111664213x+291814808139\) |
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, $\ldots$ |
$[(1274215849/259, 52724794489002/259)]$ |
| 414960.p8 |
414960p5 |
414960.p |
414960p |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5 \cdot 7^{12} \cdot 13^{3} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$207480$ |
$384$ |
$5$ |
$4.492092777$ |
$4$ |
$2$ |
$3$ |
$63700992$ |
$3.416103$ |
$1308812680909424992398551/1070002284841633041990$ |
$0.98565$ |
$4.93578$ |
$[0, -1, 0, 36461784, 54428574960]$ |
\(y^2=x^3-x^2+36461784x+54428574960\) |
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, $\ldots$ |
$[(4361, 544388)]$ |
