| 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 |
| 43680.l2 |
43680a3 |
43680.l |
43680a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 7 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$65536$ |
$1.066820$ |
$3799337068864/319921875$ |
$0.89193$ |
$3.48946$ |
$[0, -1, 0, -5201, 135201]$ |
\(y^2=x^3-x^2-5201x+135201\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.1, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 43680.bi2 |
43680bw3 |
43680.bi |
43680bw |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$728$ |
$48$ |
$0$ |
$2.605412670$ |
$1$ |
|
$3$ |
$65536$ |
$1.066820$ |
$3799337068864/319921875$ |
$0.89193$ |
$3.48946$ |
$[0, 1, 0, -5201, -135201]$ |
\(y^2=x^3+x^2-5201x-135201\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.2, 52.12.0-4.c.1.1, $\ldots$ |
$[(-35, 72)]$ |
| 87360.cm3 |
87360x1 |
87360.cm |
87360x |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$728$ |
$48$ |
$0$ |
$2.141427698$ |
$1$ |
|
$3$ |
$65536$ |
$0.720246$ |
$3799337068864/319921875$ |
$0.89193$ |
$2.91135$ |
$[0, -1, 0, -1300, -16250]$ |
\(y^2=x^3-x^2-1300x-16250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.y.1.13, 104.24.0.?, $\ldots$ |
$[(75, 550)]$ |
| 87360.gu3 |
87360dq1 |
87360.gu |
87360dq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$728$ |
$48$ |
$0$ |
$1.902960169$ |
$1$ |
|
$3$ |
$65536$ |
$0.720246$ |
$3799337068864/319921875$ |
$0.89193$ |
$2.91135$ |
$[0, 1, 0, -1300, 16250]$ |
\(y^2=x^3+x^2-1300x+16250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.y.1.5, 104.24.0.?, $\ldots$ |
$[(125, 1350)]$ |
| 131040.dd2 |
131040co2 |
131040.dd |
131040co |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$0.987394030$ |
$1$ |
|
$7$ |
$524288$ |
$1.616125$ |
$3799337068864/319921875$ |
$0.89193$ |
$3.72353$ |
$[0, 0, 0, -46812, 3603616]$ |
\(y^2=x^3-46812x+3603616\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0.y.1, 84.12.0.?, $\ldots$ |
$[(77, 675)]$ |
| 131040.do2 |
131040b4 |
131040.do |
131040b |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$0.702081215$ |
$1$ |
|
$7$ |
$524288$ |
$1.616125$ |
$3799337068864/319921875$ |
$0.89193$ |
$3.72353$ |
$[0, 0, 0, -46812, -3603616]$ |
\(y^2=x^3-46812x-3603616\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0.y.1, 84.12.0.?, $\ldots$ |
$[(-122, 540)]$ |
| 218400.bq2 |
218400et4 |
218400.bq |
218400et |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{14} \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$4.777491615$ |
$1$ |
|
$3$ |
$1572864$ |
$1.871538$ |
$3799337068864/319921875$ |
$0.89193$ |
$3.81812$ |
$[0, -1, 0, -130033, -16640063]$ |
\(y^2=x^3-x^2-130033x-16640063\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[(-189, 1072)]$ |
| 218400.eg2 |
218400z2 |
218400.eg |
218400z |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{14} \cdot 7 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1572864$ |
$1.871538$ |
$3799337068864/319921875$ |
$0.89193$ |
$3.81812$ |
$[0, 1, 0, -130033, 16640063]$ |
\(y^2=x^3+x^2-130033x+16640063\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 262080.o3 |
262080o1 |
262080.o |
262080o |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{8} \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$3.662079543$ |
$1$ |
|
$3$ |
$524288$ |
$1.269552$ |
$3799337068864/319921875$ |
$0.89193$ |
$3.18332$ |
$[0, 0, 0, -11703, 450452]$ |
\(y^2=x^3-11703x+450452\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[(112, 738)]$ |
| 262080.go3 |
262080go1 |
262080.go |
262080go |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{8} \cdot 7 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$524288$ |
$1.269552$ |
$3799337068864/319921875$ |
$0.89193$ |
$3.18332$ |
$[0, 0, 0, -11703, -450452]$ |
\(y^2=x^3-11703x-450452\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 305760.ck2 |
305760ck2 |
305760.ck |
305760ck |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 7^{7} \cdot 13 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$728$ |
$48$ |
$0$ |
$1.272930184$ |
$1$ |
|
$11$ |
$3145728$ |
$2.039776$ |
$3799337068864/319921875$ |
$0.89193$ |
$3.87624$ |
$[0, -1, 0, -254865, 45864225]$ |
\(y^2=x^3-x^2-254865x+45864225\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.y.1.2, 104.24.0.?, 364.24.0.?, $\ldots$ |
$[(215, 980)]$ |
| 305760.hn2 |
305760hn4 |
305760.hn |
305760hn |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 7^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$728$ |
$48$ |
$0$ |
$3.677966273$ |
$1$ |
|
$3$ |
$3145728$ |
$2.039776$ |
$3799337068864/319921875$ |
$0.89193$ |
$3.87624$ |
$[0, 1, 0, -254865, -45864225]$ |
\(y^2=x^3+x^2-254865x-45864225\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.y.1.10, 104.24.0.?, 364.24.0.?, $\ldots$ |
$[(1245, 39600)]$ |
| 436800.q3 |
436800q1 |
436800.q |
436800q |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{14} \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$4.867312345$ |
$1$ |
|
$3$ |
$1572864$ |
$1.524965$ |
$3799337068864/319921875$ |
$0.89193$ |
$3.29411$ |
$[0, -1, 0, -32508, 2096262]$ |
\(y^2=x^3-x^2-32508x+2096262\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[(131, 262)]$ |
| 436800.tj3 |
436800tj1 |
436800.tj |
436800tj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{14} \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$4.254078649$ |
$4$ |
$2$ |
$3$ |
$1572864$ |
$1.524965$ |
$3799337068864/319921875$ |
$0.89193$ |
$3.29411$ |
$[0, 1, 0, -32508, -2096262]$ |
\(y^2=x^3+x^2-32508x-2096262\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.y.1, 104.12.0.?, $\ldots$ |
$[(-111, 396)]$ |
