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 |
15162.h1 |
15162h1 |
15162.h |
15162h |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1596$ |
$16$ |
$0$ |
$0.906193410$ |
$1$ |
|
$2$ |
$6480$ |
$0.293343$ |
$-549754417/592704$ |
$0.92084$ |
$2.81157$ |
$[1, 1, 0, -121, -923]$ |
\(y^2+xy=x^3+x^2-121x-923\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 84.8.0.?, 1596.16.0.? |
$[(18, 47)]$ |
15162.bf1 |
15162bf1 |
15162.bf |
15162bf |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{3} \cdot 19^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$84$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$123120$ |
$1.765562$ |
$-549754417/592704$ |
$0.92084$ |
$4.64677$ |
$[1, 0, 0, -43869, 5980401]$ |
\(y^2+xy=x^3-43869x+5980401\) |
3.8.0-3.a.1.2, 84.16.0.? |
$[]$ |
45486.b1 |
45486o1 |
45486.b |
45486o |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$84$ |
$16$ |
$0$ |
$1.082075675$ |
$1$ |
|
$2$ |
$984960$ |
$2.314869$ |
$-549754417/592704$ |
$0.92084$ |
$4.78539$ |
$[1, -1, 0, -394821, -161470827]$ |
\(y^2+xy=x^3-x^2-394821x-161470827\) |
3.8.0-3.a.1.1, 84.16.0.? |
$[(4242, 270795)]$ |
45486.x1 |
45486bo1 |
45486.x |
45486bo |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1596$ |
$16$ |
$0$ |
$0.113193326$ |
$1$ |
|
$10$ |
$51840$ |
$0.842649$ |
$-549754417/592704$ |
$0.92084$ |
$3.13817$ |
$[1, -1, 1, -1094, 23829]$ |
\(y^2+xy+y=x^3-x^2-1094x+23829\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 84.8.0.?, 1596.16.0.? |
$[(-13, 195)]$ |
106134.t1 |
106134bk1 |
106134.t |
106134bk |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{9} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1596$ |
$16$ |
$0$ |
$0.587878994$ |
$1$ |
|
$16$ |
$311040$ |
$1.266298$ |
$-549754417/592704$ |
$0.92084$ |
$3.34771$ |
$[1, 0, 1, -5955, 298750]$ |
\(y^2+xy+y=x^3-5955x+298750\) |
3.4.0.a.1, 84.8.0.?, 228.8.0.?, 399.8.0.?, 1596.16.0.? |
$[(263, 3984), (-73, 624)]$ |
106134.bn1 |
106134ca1 |
106134.bn |
106134ca |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{9} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$3.616248315$ |
$1$ |
|
$2$ |
$5909760$ |
$2.738518$ |
$-549754417/592704$ |
$0.92084$ |
$4.87432$ |
$[1, 1, 1, -2149582, -2053427125]$ |
\(y^2+xy+y=x^3+x^2-2149582x-2053427125\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 21.8.0-3.a.1.1, 84.16.0.? |
$[(1861, 18963)]$ |
121296.br1 |
121296bt1 |
121296.br |
121296bt |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{18} \cdot 3^{3} \cdot 7^{3} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$2954880$ |
$2.458710$ |
$-549754417/592704$ |
$0.92084$ |
$4.53188$ |
$[0, -1, 0, -701904, -382745664]$ |
\(y^2=x^3-x^2-701904x-382745664\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 42.8.0-3.a.1.1, 84.16.0.? |
$[]$ |
121296.dk1 |
121296ct1 |
121296.dk |
121296ct |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{18} \cdot 3^{3} \cdot 7^{3} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1596$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$155520$ |
$0.986489$ |
$-549754417/592704$ |
$0.92084$ |
$3.02268$ |
$[0, 1, 0, -1944, 55188]$ |
\(y^2=x^3+x^2-1944x+55188\) |
3.4.0.a.1, 84.8.0.?, 228.8.0.?, 798.8.0.?, 1596.16.0.? |
$[]$ |
318402.cl1 |
318402cl1 |
318402.cl |
318402cl |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{9} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$3.236618750$ |
$1$ |
|
$2$ |
$47278080$ |
$3.287823$ |
$-549754417/592704$ |
$0.92084$ |
$4.97192$ |
$[1, -1, 0, -19346238, 55423186132]$ |
\(y^2+xy=x^3-x^2-19346238x+55423186132\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 21.8.0-3.a.1.2, 84.16.0.? |
$[(-1468, 284738)]$ |
318402.eq1 |
318402eq1 |
318402.eq |
318402eq |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{9} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1596$ |
$16$ |
$0$ |
$2.725149062$ |
$1$ |
|
$2$ |
$2488320$ |
$1.815603$ |
$-549754417/592704$ |
$0.92084$ |
$3.57767$ |
$[1, -1, 1, -53591, -8066257]$ |
\(y^2+xy+y=x^3-x^2-53591x-8066257\) |
3.4.0.a.1, 84.8.0.?, 228.8.0.?, 399.8.0.?, 1596.16.0.? |
$[(3327, 189730)]$ |
363888.f1 |
363888f1 |
363888.f |
363888f |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{18} \cdot 3^{9} \cdot 7^{3} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1596$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1244160$ |
$1.535795$ |
$-549754417/592704$ |
$0.92084$ |
$3.27813$ |
$[0, 0, 0, -17499, -1507574]$ |
\(y^2=x^3-17499x-1507574\) |
3.4.0.a.1, 84.8.0.?, 228.8.0.?, 798.8.0.?, 1596.16.0.? |
$[]$ |
363888.g1 |
363888g1 |
363888.g |
363888g |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{18} \cdot 3^{9} \cdot 7^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$5.810431232$ |
$1$ |
|
$2$ |
$23639040$ |
$3.008015$ |
$-549754417/592704$ |
$0.92084$ |
$4.65784$ |
$[0, 0, 0, -6317139, 10340450066]$ |
\(y^2=x^3-6317139x+10340450066\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 42.8.0-3.a.1.2, 84.16.0.? |
$[(-2681, 89478)]$ |
379050.f1 |
379050f1 |
379050.f |
379050f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$16$ |
$0$ |
$2.625993669$ |
$1$ |
|
$4$ |
$13296960$ |
$2.570282$ |
$-549754417/592704$ |
$0.92084$ |
$4.23411$ |
$[1, 1, 0, -1096725, 747550125]$ |
\(y^2+xy=x^3+x^2-1096725x+747550125\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 84.8.0.?, 420.16.0.? |
$[(-1294, 2091)]$ |
379050.id1 |
379050id1 |
379050.id |
379050id |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7980$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$699840$ |
$1.098061$ |
$-549754417/592704$ |
$0.92084$ |
$2.85879$ |
$[1, 0, 0, -3038, -109308]$ |
\(y^2+xy=x^3-3038x-109308\) |
3.4.0.a.1, 84.8.0.?, 285.8.0.?, 7980.16.0.? |
$[]$ |
485184.j1 |
485184j1 |
485184.j |
485184j |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{24} \cdot 3^{3} \cdot 7^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3192$ |
$16$ |
$0$ |
$1.715279964$ |
$1$ |
|
$2$ |
$1244160$ |
$1.333063$ |
$-549754417/592704$ |
$0.92084$ |
$3.02028$ |
$[0, -1, 0, -7777, 449281]$ |
\(y^2=x^3-x^2-7777x+449281\) |
3.4.0.a.1, 84.8.0.?, 456.8.0.?, 3192.16.0.? |
$[(-19, 768)]$ |
485184.k1 |
485184k1 |
485184.k |
485184k |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{24} \cdot 3^{3} \cdot 7^{3} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23639040$ |
$2.805283$ |
$-549754417/592704$ |
$0.92084$ |
$4.36967$ |
$[0, -1, 0, -2807617, 3064772929]$ |
\(y^2=x^3-x^2-2807617x+3064772929\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 84.8.0.?, 168.16.0.? |
$[]$ |
485184.fd1 |
485184fd1 |
485184.fd |
485184fd |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{24} \cdot 3^{3} \cdot 7^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$2.699403076$ |
$1$ |
|
$2$ |
$23639040$ |
$2.805283$ |
$-549754417/592704$ |
$0.92084$ |
$4.36967$ |
$[0, 1, 0, -2807617, -3064772929]$ |
\(y^2=x^3+x^2-2807617x-3064772929\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 84.8.0.?, 168.16.0.? |
$[(34415, 6376704)]$ |
485184.fe1 |
485184fe1 |
485184.fe |
485184fe |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{24} \cdot 3^{3} \cdot 7^{3} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3192$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1244160$ |
$1.333063$ |
$-549754417/592704$ |
$0.92084$ |
$3.02028$ |
$[0, 1, 0, -7777, -449281]$ |
\(y^2=x^3+x^2-7777x-449281\) |
3.4.0.a.1, 84.8.0.?, 456.8.0.?, 3192.16.0.? |
$[]$ |