| 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.l3 |
51870m3 |
51870.l |
51870m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{6} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 13^{12} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$207480$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3538944$ |
$2.777157$ |
$-12462027714326806804452601/1020321931394362309440$ |
$1.03532$ |
$5.33478$ |
$[1, 1, 0, -4830087, 4363292469]$ |
\(y^2+xy=x^3+x^2-4830087x+4363292469\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 76.12.0.?, 728.12.0.?, $\ldots$ |
$[]$ |
| 155610.dk3 |
155610bz3 |
155610.dk |
155610bz |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5 \cdot 7^{4} \cdot 13^{12} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$207480$ |
$48$ |
$0$ |
$7.501922760$ |
$4$ |
$2$ |
$2$ |
$28311552$ |
$3.326462$ |
$-12462027714326806804452601/1020321931394362309440$ |
$1.03532$ |
$5.39591$ |
$[1, -1, 1, -43470788, -117852367449]$ |
\(y^2+xy+y=x^3-x^2-43470788x-117852367449\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 228.12.0.?, 1140.24.0.?, $\ldots$ |
$[(9833, 631761)]$ |
| 259350.gh3 |
259350gh4 |
259350.gh |
259350gh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{6} \cdot 3 \cdot 5^{7} \cdot 7^{4} \cdot 13^{12} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$207480$ |
$48$ |
$0$ |
$1.626473175$ |
$1$ |
|
$2$ |
$84934656$ |
$3.581875$ |
$-12462027714326806804452601/1020321931394362309440$ |
$1.03532$ |
$5.42067$ |
$[1, 0, 0, -120752188, 545653062992]$ |
\(y^2+xy=x^3-120752188x+545653062992\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 380.12.0.?, 1140.24.0.?, $\ldots$ |
$[(5848, 195820)]$ |
| 363090.cj3 |
363090cj3 |
363090.cj |
363090cj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( - 2^{6} \cdot 3 \cdot 5 \cdot 7^{10} \cdot 13^{12} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$207480$ |
$48$ |
$0$ |
$13.54956008$ |
$1$ |
|
$0$ |
$169869312$ |
$3.750111$ |
$-12462027714326806804452601/1020321931394362309440$ |
$1.03532$ |
$5.43589$ |
$[1, 0, 1, -236674289, -1497319339708]$ |
\(y^2+xy+y=x^3-236674289x-1497319339708\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 420.12.0.?, 532.12.0.?, $\ldots$ |
$[(482499368/161, 3047385500844/161)]$ |
| 414960.ht3 |
414960ht3 |
414960.ht |
414960ht |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{18} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 13^{12} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$207480$ |
$48$ |
$0$ |
$1$ |
$64$ |
$2$ |
$1$ |
$84934656$ |
$3.470306$ |
$-12462027714326806804452601/1020321931394362309440$ |
$1.03532$ |
$5.12022$ |
$[0, 1, 0, -77281400, -279405280812]$ |
\(y^2=x^3+x^2-77281400x-279405280812\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 76.12.0.?, 728.12.0.?, $\ldots$ |
$[]$ |
