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 |
46410.g4 |
46410f1 |
46410.g |
46410f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{16} \cdot 3 \cdot 5^{3} \cdot 7^{12} \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6488064$ |
$3.138760$ |
$-26949791983733109138764089/165161952797784563712000$ |
$1.00394$ |
$5.67749$ |
$[1, 1, 0, -6246123, 20452740477]$ |
\(y^2+xy=x^3+x^2-6246123x+20452740477\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.5, 168.24.0.?, $\ldots$ |
$[]$ |
139230.eo4 |
139230i1 |
139230.eo |
139230i |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{16} \cdot 3^{7} \cdot 5^{3} \cdot 7^{12} \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$51904512$ |
$3.688065$ |
$-26949791983733109138764089/165161952797784563712000$ |
$1.00394$ |
$5.70741$ |
$[1, -1, 1, -56215112, -552280207989]$ |
\(y^2+xy+y=x^3-x^2-56215112x-552280207989\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 510.6.0.?, 1020.24.0.?, $\ldots$ |
$[]$ |
232050.gb4 |
232050gb1 |
232050.gb |
232050gb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{16} \cdot 3 \cdot 5^{9} \cdot 7^{12} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$5.461521329$ |
$1$ |
|
$3$ |
$155713536$ |
$3.943478$ |
$-26949791983733109138764089/165161952797784563712000$ |
$1.00394$ |
$5.71950$ |
$[1, 0, 0, -156153088, 2556904865792]$ |
\(y^2+xy=x^3-156153088x+2556904865792\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 68.12.0-4.c.1.2, 168.12.0.?, $\ldots$ |
$[(-16508, 805804)]$ |
324870.cn4 |
324870cn1 |
324870.cn |
324870cn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 2^{16} \cdot 3 \cdot 5^{3} \cdot 7^{18} \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$311427072$ |
$4.111710$ |
$-26949791983733109138764089/165161952797784563712000$ |
$1.00394$ |
$5.72694$ |
$[1, 0, 1, -306060053, -7016208163744]$ |
\(y^2+xy+y=x^3-306060053x-7016208163744\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
371280.dq4 |
371280dq1 |
371280.dq |
371280dq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{28} \cdot 3 \cdot 5^{3} \cdot 7^{12} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$98.86558083$ |
$1$ |
|
$1$ |
$155713536$ |
$3.831905$ |
$-26949791983733109138764089/165161952797784563712000$ |
$1.00394$ |
$5.40550$ |
$[0, 1, 0, -99937976, -1309175266476]$ |
\(y^2=x^3+x^2-99937976x-1309175266476\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.5, 168.24.0.?, $\ldots$ |
$[(546387624563383497397692064481729681541161830/30321660377069614017, 12769939421808074323588930548449957304621565538398036961940522622976/30321660377069614017)]$ |