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 |
55470.m2 |
55470k1 |
55470.m |
55470k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$0.763681357$ |
$1$ |
|
$9$ |
$147840$ |
$1.118778$ |
$106968940723/55987200$ |
$[1, 0, 1, -4253, -33352]$ |
\(y^2+xy+y=x^3-4253x-33352\) |
2.3.0.a.1, 120.6.0.?, 258.6.0.?, 1720.6.0.?, 5160.12.0.? |
$[(99, 670)]$ |
55470.s2 |
55470q1 |
55470.s |
55470q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 43^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6357120$ |
$2.999378$ |
$106968940723/55987200$ |
$[1, 1, 1, -7862911, 2620245989]$ |
\(y^2+xy+y=x^3+x^2-7862911x+2620245989\) |
2.3.0.a.1, 120.6.0.?, 258.6.0.?, 1720.6.0.?, 5160.12.0.? |
$[]$ |
166410.r2 |
166410bl1 |
166410.r |
166410bl |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{13} \cdot 5^{2} \cdot 43^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$22.28045033$ |
$1$ |
|
$1$ |
$50856960$ |
$3.548687$ |
$106968940723/55987200$ |
$[1, -1, 0, -70766199, -70817407907]$ |
\(y^2+xy=x^3-x^2-70766199x-70817407907\) |
2.3.0.a.1, 120.6.0.?, 258.6.0.?, 1720.6.0.?, 5160.12.0.? |
$[(130250742878/3523, 25349534474696483/3523)]$ |
166410.ce2 |
166410q1 |
166410.ce |
166410q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{13} \cdot 5^{2} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$0.805688327$ |
$1$ |
|
$9$ |
$1182720$ |
$1.668085$ |
$106968940723/55987200$ |
$[1, -1, 1, -38273, 900497]$ |
\(y^2+xy+y=x^3-x^2-38273x+900497\) |
2.3.0.a.1, 120.6.0.?, 258.6.0.?, 1720.6.0.?, 5160.12.0.? |
$[(243, 2308)]$ |
277350.bv2 |
277350bv1 |
277350.bv |
277350bv |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 43^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$152570880$ |
$3.804100$ |
$106968940723/55987200$ |
$[1, 0, 1, -196572776, 327923894198]$ |
\(y^2+xy+y=x^3-196572776x+327923894198\) |
2.3.0.a.1, 120.6.0.?, 258.6.0.?, 1720.6.0.?, 5160.12.0.? |
$[]$ |
277350.cd2 |
277350cd1 |
277350.cd |
277350cd |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3548160$ |
$1.923498$ |
$106968940723/55987200$ |
$[1, 1, 1, -106313, -4168969]$ |
\(y^2+xy+y=x^3+x^2-106313x-4168969\) |
2.3.0.a.1, 120.6.0.?, 258.6.0.?, 1720.6.0.?, 5160.12.0.? |
$[]$ |
443760.z2 |
443760z1 |
443760.z |
443760z |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{22} \cdot 3^{7} \cdot 5^{2} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$2.862149243$ |
$1$ |
|
$5$ |
$3548160$ |
$1.811926$ |
$106968940723/55987200$ |
$[0, -1, 0, -68040, 2134512]$ |
\(y^2=x^3-x^2-68040x+2134512\) |
2.3.0.a.1, 120.6.0.?, 258.6.0.?, 1720.6.0.?, 5160.12.0.? |
$[(29, 430)]$ |
443760.cf2 |
443760cf1 |
443760.cf |
443760cf |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{22} \cdot 3^{7} \cdot 5^{2} \cdot 43^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$6.142898681$ |
$1$ |
|
$3$ |
$152570880$ |
$3.692528$ |
$106968940723/55987200$ |
$[0, 1, 0, -125806576, -167947356460]$ |
\(y^2=x^3+x^2-125806576x-167947356460\) |
2.3.0.a.1, 120.6.0.?, 258.6.0.?, 1720.6.0.?, 5160.12.0.? |
$[(-8788, 508950)]$ |