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 |
10400.i1 |
10400bb1 |
10400.i |
10400bb |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.235548759$ |
$1$ |
|
$6$ |
$3456$ |
$0.270244$ |
$1600000/13$ |
$0.91873$ |
$3.13972$ |
$[0, -1, 0, -333, 2437]$ |
\(y^2=x^3-x^2-333x+2437\) |
26.2.0.a.1 |
$[(7, 20)]$ |
10400.j1 |
10400j1 |
10400.j |
10400j |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$1.074963$ |
$1600000/13$ |
$0.91873$ |
$4.18373$ |
$[0, -1, 0, -8333, -287963]$ |
\(y^2=x^3-x^2-8333x-287963\) |
26.2.0.a.1 |
$[]$ |
10400.ba1 |
10400g1 |
10400.ba |
10400g |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$1.074963$ |
$1600000/13$ |
$0.91873$ |
$4.18373$ |
$[0, 1, 0, -8333, 287963]$ |
\(y^2=x^3+x^2-8333x+287963\) |
26.2.0.a.1 |
$[]$ |
10400.bb1 |
10400z1 |
10400.bb |
10400z |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.873048011$ |
$1$ |
|
$4$ |
$3456$ |
$0.270244$ |
$1600000/13$ |
$0.91873$ |
$3.13972$ |
$[0, 1, 0, -333, -2437]$ |
\(y^2=x^3+x^2-333x-2437\) |
26.2.0.a.1 |
$[(-11, 4)]$ |
20800.bg1 |
20800ec1 |
20800.bg |
20800ec |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$-0.076329$ |
$1600000/13$ |
$0.91873$ |
$2.50255$ |
$[0, -1, 0, -83, -263]$ |
\(y^2=x^3-x^2-83x-263\) |
26.2.0.a.1 |
$[]$ |
20800.bj1 |
20800cl1 |
20800.bj |
20800cl |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$0.728390$ |
$1600000/13$ |
$0.91873$ |
$3.47378$ |
$[0, -1, 0, -2083, 37037]$ |
\(y^2=x^3-x^2-2083x+37037\) |
26.2.0.a.1 |
$[]$ |
20800.cw1 |
20800ci1 |
20800.cw |
20800ci |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$0.728390$ |
$1600000/13$ |
$0.91873$ |
$3.47378$ |
$[0, 1, 0, -2083, -37037]$ |
\(y^2=x^3+x^2-2083x-37037\) |
26.2.0.a.1 |
$[]$ |
20800.cz1 |
20800eb1 |
20800.cz |
20800eb |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$-0.076329$ |
$1600000/13$ |
$0.91873$ |
$2.50255$ |
$[0, 1, 0, -83, 263]$ |
\(y^2=x^3+x^2-83x+263\) |
26.2.0.a.1 |
$[]$ |
93600.bd1 |
93600ek1 |
93600.bd |
93600ek |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$518400$ |
$1.624269$ |
$1600000/13$ |
$0.91873$ |
$3.95651$ |
$[0, 0, 0, -75000, 7850000]$ |
\(y^2=x^3-75000x+7850000\) |
26.2.0.a.1 |
$[]$ |
93600.bw1 |
93600ce1 |
93600.bw |
93600ce |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$5.199727060$ |
$1$ |
|
$0$ |
$103680$ |
$0.819551$ |
$1600000/13$ |
$0.91873$ |
$3.11290$ |
$[0, 0, 0, -3000, -62800]$ |
\(y^2=x^3-3000x-62800\) |
26.2.0.a.1 |
$[(-844/5, 196/5)]$ |
93600.dg1 |
93600cc1 |
93600.dg |
93600cc |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$2.258120325$ |
$1$ |
|
$2$ |
$103680$ |
$0.819551$ |
$1600000/13$ |
$0.91873$ |
$3.11290$ |
$[0, 0, 0, -3000, 62800]$ |
\(y^2=x^3-3000x+62800\) |
26.2.0.a.1 |
$[(24, 68)]$ |
93600.ea1 |
93600ef1 |
93600.ea |
93600ef |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$518400$ |
$1.624269$ |
$1600000/13$ |
$0.91873$ |
$3.95651$ |
$[0, 0, 0, -75000, -7850000]$ |
\(y^2=x^3-75000x-7850000\) |
26.2.0.a.1 |
$[]$ |
135200.y1 |
135200l1 |
135200.y |
135200l |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 5^{10} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2903040$ |
$2.357437$ |
$1600000/13$ |
$0.91873$ |
$4.57804$ |
$[0, -1, 0, -1408333, -638287963]$ |
\(y^2=x^3-x^2-1408333x-638287963\) |
26.2.0.a.1 |
$[]$ |
135200.bb1 |
135200ch1 |
135200.bb |
135200ch |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$580608$ |
$1.552719$ |
$1600000/13$ |
$0.91873$ |
$3.76069$ |
$[0, -1, 0, -56333, 5128837]$ |
\(y^2=x^3-x^2-56333x+5128837\) |
26.2.0.a.1 |
$[]$ |
135200.cl1 |
135200db1 |
135200.cl |
135200db |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$580608$ |
$1.552719$ |
$1600000/13$ |
$0.91873$ |
$3.76069$ |
$[0, 1, 0, -56333, -5128837]$ |
\(y^2=x^3+x^2-56333x-5128837\) |
26.2.0.a.1 |
$[]$ |
135200.co1 |
135200bk1 |
135200.co |
135200bk |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 5^{10} \cdot 13^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$6.771106814$ |
$1$ |
|
$6$ |
$2903040$ |
$2.357437$ |
$1600000/13$ |
$0.91873$ |
$4.57804$ |
$[0, 1, 0, -1408333, 638287963]$ |
\(y^2=x^3+x^2-1408333x+638287963\) |
26.2.0.a.1 |
$[(849, 7436), (342, 14027)]$ |
187200.dl1 |
187200p1 |
187200.dl |
187200p |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1.234674971$ |
$1$ |
|
$2$ |
$103680$ |
$0.472977$ |
$1600000/13$ |
$0.91873$ |
$2.59259$ |
$[0, 0, 0, -750, -7850]$ |
\(y^2=x^3-750x-7850\) |
26.2.0.a.1 |
$[(-15, 5)]$ |
187200.fo1 |
187200dq1 |
187200.fo |
187200dq |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$10.26219693$ |
$1$ |
|
$0$ |
$518400$ |
$1.277697$ |
$1600000/13$ |
$0.91873$ |
$3.38803$ |
$[0, 0, 0, -18750, 981250]$ |
\(y^2=x^3-18750x+981250\) |
26.2.0.a.1 |
$[(-19059/11, 217489/11)]$ |
187200.la1 |
187200fc1 |
187200.la |
187200fc |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$16.58116068$ |
$1$ |
|
$0$ |
$518400$ |
$1.277697$ |
$1600000/13$ |
$0.91873$ |
$3.38803$ |
$[0, 0, 0, -18750, -981250]$ |
\(y^2=x^3-18750x-981250\) |
26.2.0.a.1 |
$[(-23406991/563, 4598050223/563)]$ |
187200.nd1 |
187200bq1 |
187200.nd |
187200bq |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1.945804917$ |
$1$ |
|
$2$ |
$103680$ |
$0.472977$ |
$1600000/13$ |
$0.91873$ |
$2.59259$ |
$[0, 0, 0, -750, 7850]$ |
\(y^2=x^3-750x+7850\) |
26.2.0.a.1 |
$[(5, 65)]$ |
270400.cw1 |
270400cw1 |
270400.cw |
270400cw |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 5^{10} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2903040$ |
$2.010864$ |
$1600000/13$ |
$0.91873$ |
$3.99183$ |
$[0, -1, 0, -352083, 79962037]$ |
\(y^2=x^3-x^2-352083x+79962037\) |
26.2.0.a.1 |
$[]$ |
270400.df1 |
270400df1 |
270400.df |
270400df |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1.114832537$ |
$1$ |
|
$2$ |
$580608$ |
$1.206146$ |
$1600000/13$ |
$0.91873$ |
$3.21978$ |
$[0, -1, 0, -14083, -634063]$ |
\(y^2=x^3-x^2-14083x-634063\) |
26.2.0.a.1 |
$[(152, 845)]$ |
270400.hh1 |
270400hh1 |
270400.hh |
270400hh |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1.005278193$ |
$1$ |
|
$0$ |
$580608$ |
$1.206146$ |
$1600000/13$ |
$0.91873$ |
$3.21978$ |
$[0, 1, 0, -14083, 634063]$ |
\(y^2=x^3+x^2-14083x+634063\) |
26.2.0.a.1 |
$[(237/2, 845/2)]$ |
270400.hq1 |
270400hq1 |
270400.hq |
270400hq |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 5^{10} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2903040$ |
$2.010864$ |
$1600000/13$ |
$0.91873$ |
$3.99183$ |
$[0, 1, 0, -352083, -79962037]$ |
\(y^2=x^3+x^2-352083x-79962037\) |
26.2.0.a.1 |
$[]$ |