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 |
76440.bh1 |
76440p1 |
76440.bh |
76440p |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.500478677$ |
$1$ |
|
$7$ |
$387072$ |
$1.704653$ |
$14270199808/7921875$ |
$0.95151$ |
$3.88351$ |
$[0, -1, 0, -43675, -694448]$ |
\(y^2=x^3-x^2-43675x-694448\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[(327, 4459)]$ |
76440.ch1 |
76440bd1 |
76440.ch |
76440bd |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$0.731698$ |
$14270199808/7921875$ |
$0.95151$ |
$2.84516$ |
$[0, 1, 0, -891, 1770]$ |
\(y^2=x^3+x^2-891x+1770\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[]$ |
152880.n1 |
152880hu1 |
152880.n |
152880hu |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$2.574005062$ |
$1$ |
|
$3$ |
$110592$ |
$0.731698$ |
$14270199808/7921875$ |
$0.95151$ |
$2.67996$ |
$[0, -1, 0, -891, -1770]$ |
\(y^2=x^3-x^2-891x-1770\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[(34, 78)]$ |
152880.gi1 |
152880fp1 |
152880.gi |
152880fp |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$774144$ |
$1.704653$ |
$14270199808/7921875$ |
$0.95151$ |
$3.65801$ |
$[0, 1, 0, -43675, 694448]$ |
\(y^2=x^3+x^2-43675x+694448\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[]$ |
229320.k1 |
229320bh1 |
229320.k |
229320bh |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3096576$ |
$2.253960$ |
$14270199808/7921875$ |
$0.95151$ |
$4.07190$ |
$[0, 0, 0, -393078, 19143173]$ |
\(y^2=x^3-393078x+19143173\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[]$ |
229320.cx1 |
229320d1 |
229320.cx |
229320d |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.571004782$ |
$1$ |
|
$25$ |
$442368$ |
$1.281004$ |
$14270199808/7921875$ |
$0.95151$ |
$3.12597$ |
$[0, 0, 0, -8022, -55811]$ |
\(y^2=x^3-8022x-55811\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[(-42, 455), (98, 315)]$ |
382200.eh1 |
382200eh1 |
382200.eh |
382200eh |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3 \cdot 5^{12} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$2.177103658$ |
$1$ |
|
$5$ |
$1327104$ |
$1.536417$ |
$14270199808/7921875$ |
$0.95151$ |
$3.24019$ |
$[0, -1, 0, -22283, 265812]$ |
\(y^2=x^3-x^2-22283x+265812\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[(-23, 875)]$ |
382200.ji1 |
382200ji1 |
382200.ji |
382200ji |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3 \cdot 5^{12} \cdot 7^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$10.17495414$ |
$1$ |
|
$1$ |
$9289728$ |
$2.509373$ |
$14270199808/7921875$ |
$0.95151$ |
$4.14852$ |
$[0, 1, 0, -1091883, -88989762]$ |
\(y^2=x^3+x^2-1091883x-88989762\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[(95119/9, 11516219/9)]$ |
458640.fv1 |
458640fv1 |
458640.fv |
458640fv |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$5.174583265$ |
$1$ |
|
$3$ |
$6193152$ |
$2.253960$ |
$14270199808/7921875$ |
$0.95151$ |
$3.85539$ |
$[0, 0, 0, -393078, -19143173]$ |
\(y^2=x^3-393078x-19143173\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[(-241, 7848)]$ |
458640.np1 |
458640np1 |
458640.np |
458640np |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.517604324$ |
$1$ |
|
$3$ |
$884736$ |
$1.281004$ |
$14270199808/7921875$ |
$0.95151$ |
$2.95976$ |
$[0, 0, 0, -8022, 55811]$ |
\(y^2=x^3-8022x+55811\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[(107, 650)]$ |