| 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.q1 |
51870l4 |
51870.q |
51870l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{12} \cdot 13^{4} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$41496$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3538944$ |
$2.750263$ |
$22729707196852465027832041/406726014705883904850$ |
$0.98135$ |
$5.37795$ |
$[1, 1, 0, -5901422, 5429579034]$ |
\(y^2+xy=x^3+x^2-5901422x+5429579034\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 76.12.0.?, 456.24.0.?, $\ldots$ |
$[]$ |
| 155610.cz1 |
155610bo4 |
155610.cz |
155610bo |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2 \cdot 3^{7} \cdot 5^{2} \cdot 7^{12} \cdot 13^{4} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$41496$ |
$48$ |
$0$ |
$19.11563011$ |
$1$ |
|
$0$ |
$28311552$ |
$3.299572$ |
$22729707196852465027832041/406726014705883904850$ |
$0.98135$ |
$5.43512$ |
$[1, -1, 1, -53112803, -146651746719]$ |
\(y^2+xy+y=x^3-x^2-53112803x-146651746719\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 228.12.0.?, 456.24.0.?, $\ldots$ |
$[(-759324643/428, 3900233049975/428)]$ |
| 259350.gy1 |
259350gy3 |
259350.gy |
259350gy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2 \cdot 3 \cdot 5^{8} \cdot 7^{12} \cdot 13^{4} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$207480$ |
$48$ |
$0$ |
$5.035815139$ |
$1$ |
|
$0$ |
$84934656$ |
$3.554985$ |
$22729707196852465027832041/406726014705883904850$ |
$0.98135$ |
$5.45826$ |
$[1, 0, 0, -147535563, 678992450367]$ |
\(y^2+xy=x^3-147535563x+678992450367\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 380.12.0.?, 456.12.0.?, $\ldots$ |
$[(-34657/2, 9180157/2)]$ |
| 363090.dd1 |
363090dd4 |
363090.dd |
363090dd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{18} \cdot 13^{4} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41496$ |
$48$ |
$0$ |
$9.174918330$ |
$1$ |
|
$0$ |
$169869312$ |
$3.723221$ |
$22729707196852465027832041/406726014705883904850$ |
$0.98135$ |
$5.47250$ |
$[1, 0, 1, -289169704, -1863213117748]$ |
\(y^2+xy+y=x^3-289169704x-1863213117748\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 168.12.0.?, 456.12.0.?, $\ldots$ |
$[(-85664/3, 4554580/3)]$ |
| 414960.gx1 |
414960gx4 |
414960.gx |
414960gx |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{13} \cdot 3 \cdot 5^{2} \cdot 7^{12} \cdot 13^{4} \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41496$ |
$48$ |
$0$ |
$5.923681046$ |
$1$ |
|
$9$ |
$84934656$ |
$3.443413$ |
$22729707196852465027832041/406726014705883904850$ |
$0.98135$ |
$5.15645$ |
$[0, 1, 0, -94422760, -347681903692]$ |
\(y^2=x^3+x^2-94422760x-347681903692\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 76.12.0.?, 456.24.0.?, $\ldots$ |
$[(15436, 1368570), (291943, 157653678)]$ |
