| 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.o1 |
51870k1 |
51870.o |
51870k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{22} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 13^{4} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$13381632$ |
$3.438305$ |
$3164385375313381150271070759001/7250093712589769932800$ |
$1.01223$ |
$6.46889$ |
$[1, 1, 0, -305859437, -2059002924771]$ |
\(y^2+xy=x^3+x^2-305859437x-2059002924771\) |
2.3.0.a.1, 56.6.0.c.1, 114.6.0.?, 3192.12.0.? |
$[]$ |
| 155610.dg1 |
155610bu1 |
155610.dg |
155610bu |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{22} \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 13^{4} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$1.725819435$ |
$1$ |
|
$7$ |
$107053056$ |
$3.987614$ |
$3164385375313381150271070759001/7250093712589769932800$ |
$1.01223$ |
$6.42580$ |
$[1, -1, 1, -2752734938, 55590326233881]$ |
\(y^2+xy+y=x^3-x^2-2752734938x+55590326233881\) |
2.3.0.a.1, 56.6.0.c.1, 114.6.0.?, 3192.12.0.? |
$[(30185, 15327)]$ |
| 259350.go1 |
259350go1 |
259350.go |
259350go |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{22} \cdot 3 \cdot 5^{8} \cdot 7^{6} \cdot 13^{4} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$3.684659616$ |
$1$ |
|
$3$ |
$321159168$ |
$4.243027$ |
$3164385375313381150271070759001/7250093712589769932800$ |
$1.01223$ |
$6.40836$ |
$[1, 0, 0, -7646485938, -257360072624508]$ |
\(y^2+xy=x^3-7646485938x-257360072624508\) |
2.3.0.a.1, 56.6.0.c.1, 114.6.0.?, 3192.12.0.? |
$[(125972, 27837614)]$ |
| 363090.cn1 |
363090cn1 |
363090.cn |
363090cn |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{22} \cdot 3 \cdot 5^{2} \cdot 7^{12} \cdot 13^{4} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$2.231766385$ |
$1$ |
|
$3$ |
$642318336$ |
$4.411263$ |
$3164385375313381150271070759001/7250093712589769932800$ |
$1.01223$ |
$6.39762$ |
$[1, 0, 1, -14987112439, 706193041859162]$ |
\(y^2+xy+y=x^3-14987112439x+706193041859162\) |
2.3.0.a.1, 56.6.0.c.1, 114.6.0.?, 3192.12.0.? |
$[(-58425, 37209628)]$ |
| 414960.hn1 |
414960hn1 |
414960.hn |
414960hn |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{34} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 13^{4} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$321159168$ |
$4.131454$ |
$3164385375313381150271070759001/7250093712589769932800$ |
$1.01223$ |
$6.07202$ |
$[0, 1, 0, -4893751000, 131766399683348]$ |
\(y^2=x^3+x^2-4893751000x+131766399683348\) |
2.3.0.a.1, 56.6.0.c.1, 114.6.0.?, 3192.12.0.? |
$[]$ |
