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 |
3336.c1 |
3336d1 |
3336.c |
3336d |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 139 \) |
\( - 2^{4} \cdot 3^{2} \cdot 139 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$0.262380111$ |
$1$ |
|
$6$ |
$288$ |
$-0.489820$ |
$702464/1251$ |
$0.76172$ |
$2.09134$ |
$[0, -1, 0, 5, 4]$ |
\(y^2=x^3-x^2+5x+4\) |
278.2.0.? |
$[(1, 3)]$ |
6672.o1 |
6672c1 |
6672.o |
6672c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 139 \) |
\( - 2^{4} \cdot 3^{2} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$-0.489820$ |
$702464/1251$ |
$0.76172$ |
$1.92672$ |
$[0, 1, 0, 5, -4]$ |
\(y^2=x^3+x^2+5x-4\) |
278.2.0.? |
$[]$ |
10008.c1 |
10008d1 |
10008.c |
10008d |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 139 \) |
\( - 2^{4} \cdot 3^{8} \cdot 139 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$0.760997245$ |
$1$ |
|
$4$ |
$2304$ |
$0.059486$ |
$702464/1251$ |
$0.76172$ |
$2.55752$ |
$[0, 0, 0, 42, -151]$ |
\(y^2=x^3+42x-151\) |
278.2.0.? |
$[(4, 9)]$ |
20016.m1 |
20016b1 |
20016.m |
20016b |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 139 \) |
\( - 2^{4} \cdot 3^{8} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$0.059486$ |
$702464/1251$ |
$0.76172$ |
$2.37854$ |
$[0, 0, 0, 42, 151]$ |
\(y^2=x^3+42x+151\) |
278.2.0.? |
$[]$ |
26688.i1 |
26688ba1 |
26688.i |
26688ba |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 139 \) |
\( - 2^{10} \cdot 3^{2} \cdot 139 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$0.804973154$ |
$1$ |
|
$2$ |
$4608$ |
$-0.143246$ |
$702464/1251$ |
$0.76172$ |
$2.07270$ |
$[0, -1, 0, 19, -51]$ |
\(y^2=x^3-x^2+19x-51\) |
278.2.0.? |
$[(5, 12)]$ |
26688.bd1 |
26688o1 |
26688.bd |
26688o |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 139 \) |
\( - 2^{10} \cdot 3^{2} \cdot 139 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1.079445020$ |
$1$ |
|
$8$ |
$4608$ |
$-0.143246$ |
$702464/1251$ |
$0.76172$ |
$2.07270$ |
$[0, 1, 0, 19, 51]$ |
\(y^2=x^3+x^2+19x+51\) |
278.2.0.? |
$[(7, 24), (-2, 3)]$ |
80064.bo1 |
80064m1 |
80064.bo |
80064m |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 139 \) |
\( - 2^{10} \cdot 3^{8} \cdot 139 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$2.964521634$ |
$1$ |
|
$8$ |
$36864$ |
$0.406060$ |
$702464/1251$ |
$0.76172$ |
$2.45484$ |
$[0, 0, 0, 168, -1208]$ |
\(y^2=x^3+168x-1208\) |
278.2.0.? |
$[(26, 144), (6, 4)]$ |
80064.br1 |
80064cg1 |
80064.br |
80064cg |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 139 \) |
\( - 2^{10} \cdot 3^{8} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36864$ |
$0.406060$ |
$702464/1251$ |
$0.76172$ |
$2.45484$ |
$[0, 0, 0, 168, 1208]$ |
\(y^2=x^3+168x+1208\) |
278.2.0.? |
$[]$ |
83400.p1 |
83400h1 |
83400.p |
83400h |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 139 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 139 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$2.072659923$ |
$1$ |
|
$2$ |
$40320$ |
$0.314899$ |
$702464/1251$ |
$0.76172$ |
$2.34946$ |
$[0, 1, 0, 117, 738]$ |
\(y^2=x^3+x^2+117x+738\) |
278.2.0.? |
$[(9, 51)]$ |
163464.l1 |
163464b1 |
163464.l |
163464b |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 139 \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{6} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$67392$ |
$0.483135$ |
$702464/1251$ |
$0.76172$ |
$2.38593$ |
$[0, 1, 0, 229, -1842]$ |
\(y^2=x^3+x^2+229x-1842\) |
278.2.0.? |
$[]$ |
166800.a1 |
166800cb1 |
166800.a |
166800cb |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 139 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 139 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$2.113979257$ |
$1$ |
|
$2$ |
$80640$ |
$0.314899$ |
$702464/1251$ |
$0.76172$ |
$2.21403$ |
$[0, -1, 0, 117, -738]$ |
\(y^2=x^3-x^2+117x-738\) |
278.2.0.? |
$[(6, 12)]$ |
250200.bm1 |
250200bm1 |
250200.bm |
250200bm |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 139 \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$322560$ |
$0.864205$ |
$702464/1251$ |
$0.76172$ |
$2.67211$ |
$[0, 0, 0, 1050, -18875]$ |
\(y^2=x^3+1050x-18875\) |
278.2.0.? |
$[]$ |
326928.j1 |
326928j1 |
326928.j |
326928j |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 139 \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{6} \cdot 139 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$2.499821257$ |
$1$ |
|
$2$ |
$134784$ |
$0.483135$ |
$702464/1251$ |
$0.76172$ |
$2.25568$ |
$[0, -1, 0, 229, 1842]$ |
\(y^2=x^3-x^2+229x+1842\) |
278.2.0.? |
$[(2, 48)]$ |
403656.i1 |
403656i1 |
403656.i |
403656i |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 139 \) |
\( - 2^{4} \cdot 3^{2} \cdot 11^{6} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$411840$ |
$0.709127$ |
$702464/1251$ |
$0.76172$ |
$2.42893$ |
$[0, -1, 0, 565, -7632]$ |
\(y^2=x^3-x^2+565x-7632\) |
278.2.0.? |
$[]$ |
463704.g1 |
463704g1 |
463704.g |
463704g |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 139^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 139^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$6.109236408$ |
$1$ |
|
$2$ |
$5564160$ |
$1.977417$ |
$702464/1251$ |
$0.76172$ |
$3.56962$ |
$[0, 1, 0, 90165, -14989518]$ |
\(y^2=x^3+x^2+90165x-14989518\) |
278.2.0.? |
$[(921, 29157)]$ |
490392.z1 |
490392z1 |
490392.z |
490392z |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 139 \) |
\( - 2^{4} \cdot 3^{8} \cdot 7^{6} \cdot 139 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$278$ |
$2$ |
$0$ |
$3.000263398$ |
$1$ |
|
$2$ |
$539136$ |
$1.032440$ |
$702464/1251$ |
$0.76172$ |
$2.68895$ |
$[0, 0, 0, 2058, 51793]$ |
\(y^2=x^3+2058x+51793\) |
278.2.0.? |
$[(44, 477)]$ |