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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
43680.l3 |
43680a1 |
43680.l |
43680a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$32768$ |
$0.720246$ |
$2339923888576/419225625$ |
$[0, -1, 0, -1106, -11400]$ |
\(y^2=x^3-x^2-1106x-11400\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 52.12.0-2.a.1.1, 56.24.0-56.b.1.3, $\ldots$ |
$[]$ |
43680.bi3 |
43680bw1 |
43680.bi |
43680bw |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$728$ |
$48$ |
$0$ |
$1.302706335$ |
$1$ |
|
$9$ |
$32768$ |
$0.720246$ |
$2339923888576/419225625$ |
$[0, 1, 0, -1106, 11400]$ |
\(y^2=x^3+x^2-1106x+11400\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 52.12.0-2.a.1.1, 56.24.0-56.b.1.4, $\ldots$ |
$[(4, 84)]$ |
87360.cm2 |
87360x2 |
87360.cm |
87360x |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$728$ |
$48$ |
$0$ |
$1.070713849$ |
$1$ |
|
$11$ |
$131072$ |
$1.066820$ |
$2339923888576/419225625$ |
$[0, -1, 0, -4425, 95625]$ |
\(y^2=x^3-x^2-4425x+95625\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.b.1.1, 104.24.0.?, 364.24.0.?, $\ldots$ |
$[(65, 280)]$ |
87360.gu2 |
87360dq2 |
87360.gu |
87360dq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$728$ |
$48$ |
$0$ |
$0.951480084$ |
$1$ |
|
$13$ |
$131072$ |
$1.066820$ |
$2339923888576/419225625$ |
$[0, 1, 0, -4425, -95625]$ |
\(y^2=x^3+x^2-4425x-95625\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.b.1.2, 104.24.0.?, 364.24.0.?, $\ldots$ |
$[(-45, 120)]$ |
131040.dd3 |
131040co1 |
131040.dd |
131040co |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$1.974788060$ |
$1$ |
|
$11$ |
$262144$ |
$1.269552$ |
$2339923888576/419225625$ |
$[0, 0, 0, -9957, -317756]$ |
\(y^2=x^3-9957x-317756\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 56.12.0.b.1, 84.12.0.?, 104.12.0.?, $\ldots$ |
$[(-55, 252)]$ |
131040.do3 |
131040b1 |
131040.do |
131040b |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$1.404162430$ |
$1$ |
|
$11$ |
$262144$ |
$1.269552$ |
$2339923888576/419225625$ |
$[0, 0, 0, -9957, 317756]$ |
\(y^2=x^3-9957x+317756\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 56.12.0.b.1, 84.12.0.?, 104.12.0.?, $\ldots$ |
$[(-8, 630)]$ |
218400.bq3 |
218400et1 |
218400.bq |
218400et |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$2.388745807$ |
$1$ |
|
$9$ |
$786432$ |
$1.524965$ |
$2339923888576/419225625$ |
$[0, -1, 0, -27658, 1480312]$ |
\(y^2=x^3-x^2-27658x+1480312\) |
2.6.0.a.1, 40.12.0-2.a.1.1, 56.12.0.b.1, 104.12.0.?, 140.12.0.?, $\ldots$ |
$[(36, 728)]$ |
218400.eg3 |
218400z1 |
218400.eg |
218400z |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$786432$ |
$1.524965$ |
$2339923888576/419225625$ |
$[0, 1, 0, -27658, -1480312]$ |
\(y^2=x^3+x^2-27658x-1480312\) |
2.6.0.a.1, 40.12.0-2.a.1.1, 56.12.0.b.1, 104.12.0.?, 140.12.0.?, $\ldots$ |
$[]$ |
262080.o2 |
262080o2 |
262080.o |
262080o |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$1.831039771$ |
$1$ |
|
$11$ |
$1048576$ |
$1.616125$ |
$2339923888576/419225625$ |
$[0, 0, 0, -39828, -2542048]$ |
\(y^2=x^3-39828x-2542048\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0.b.1, 104.12.0.?, 168.24.0.?, $\ldots$ |
$[(-98, 648)]$ |
262080.go2 |
262080go2 |
262080.go |
262080go |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1048576$ |
$1.616125$ |
$2339923888576/419225625$ |
$[0, 0, 0, -39828, 2542048]$ |
\(y^2=x^3-39828x+2542048\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0.b.1, 104.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
305760.ck3 |
305760ck1 |
305760.ck |
305760ck |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$728$ |
$48$ |
$0$ |
$2.545860368$ |
$1$ |
|
$7$ |
$1572864$ |
$1.693201$ |
$2339923888576/419225625$ |
$[0, -1, 0, -54210, -4018608]$ |
\(y^2=x^3-x^2-54210x-4018608\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.b.1.2, 104.24.0.?, 364.24.0.?, $\ldots$ |
$[(-96, 540)]$ |
305760.hn3 |
305760hn1 |
305760.hn |
305760hn |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$728$ |
$48$ |
$0$ |
$1.838983136$ |
$1$ |
|
$9$ |
$1572864$ |
$1.693201$ |
$2339923888576/419225625$ |
$[0, 1, 0, -54210, 4018608]$ |
\(y^2=x^3+x^2-54210x+4018608\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.b.1.1, 104.24.0.?, 364.24.0.?, $\ldots$ |
$[(216, 1560)]$ |
436800.q2 |
436800q2 |
436800.q |
436800q |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$2.433656172$ |
$1$ |
|
$11$ |
$3145728$ |
$1.871538$ |
$2339923888576/419225625$ |
$[0, -1, 0, -110633, -11731863]$ |
\(y^2=x^3-x^2-110633x-11731863\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 56.12.0.b.1, 104.12.0.?, 280.24.0.?, $\ldots$ |
$[(-248, 625)]$ |
436800.tj2 |
436800tj2 |
436800.tj |
436800tj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$2.127039324$ |
$1$ |
|
$9$ |
$3145728$ |
$1.871538$ |
$2339923888576/419225625$ |
$[0, 1, 0, -110633, 11731863]$ |
\(y^2=x^3+x^2-110633x+11731863\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 56.12.0.b.1, 104.12.0.?, 280.24.0.?, $\ldots$ |
$[(103, 1200)]$ |