| 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 |
| 2580.a1 |
2580b1 |
2580.a |
2580b |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.034259266$ |
$1$ |
|
$18$ |
$3072$ |
$0.900579$ |
$-43304636317696/176326875$ |
$0.98881$ |
$4.70387$ |
$[0, 1, 0, -4645, 120743]$ |
\(y^2=x^3+x^2-4645x+120743\) |
86.2.0.? |
$[(41, 30)]$ |
| 7740.a1 |
7740b1 |
7740.a |
7740b |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24576$ |
$1.449886$ |
$-43304636317696/176326875$ |
$0.98881$ |
$4.86290$ |
$[0, 0, 0, -41808, -3301868]$ |
\(y^2=x^3-41808x-3301868\) |
86.2.0.? |
$[]$ |
| 10320.o1 |
10320u1 |
10320.o |
10320u |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.900073409$ |
$1$ |
|
$4$ |
$12288$ |
$0.900579$ |
$-43304636317696/176326875$ |
$0.98881$ |
$3.99828$ |
$[0, -1, 0, -4645, -120743]$ |
\(y^2=x^3-x^2-4645x-120743\) |
86.2.0.? |
$[(109, 810)]$ |
| 12900.h1 |
12900c1 |
12900.h |
12900c |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{10} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$73728$ |
$1.705297$ |
$-43304636317696/176326875$ |
$0.98881$ |
$4.92427$ |
$[0, -1, 0, -116133, 15325137]$ |
\(y^2=x^3-x^2-116133x+15325137\) |
86.2.0.? |
$[]$ |
| 30960.u1 |
30960be1 |
30960.u |
30960be |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.100421673$ |
$1$ |
|
$4$ |
$98304$ |
$1.449886$ |
$-43304636317696/176326875$ |
$0.98881$ |
$4.21095$ |
$[0, 0, 0, -41808, 3301868]$ |
\(y^2=x^3-41808x+3301868\) |
86.2.0.? |
$[(94, 450)]$ |
| 38700.o1 |
38700d1 |
38700.o |
38700d |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{14} \cdot 5^{10} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$7.152300705$ |
$1$ |
|
$2$ |
$589824$ |
$2.254604$ |
$-43304636317696/176326875$ |
$0.98881$ |
$5.03614$ |
$[0, 0, 0, -1045200, -412733500]$ |
\(y^2=x^3-1045200x-412733500\) |
86.2.0.? |
$[(18565, 2525625)]$ |
| 41280.f1 |
41280e1 |
41280.f |
41280e |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{4} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.332396798$ |
$1$ |
|
$2$ |
$98304$ |
$1.247152$ |
$-43304636317696/176326875$ |
$0.98881$ |
$3.86807$ |
$[0, -1, 0, -18581, 984525]$ |
\(y^2=x^3-x^2-18581x+984525\) |
86.2.0.? |
$[(188, 2025)]$ |
| 41280.cl1 |
41280da1 |
41280.cl |
41280da |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{4} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$98304$ |
$1.247152$ |
$-43304636317696/176326875$ |
$0.98881$ |
$3.86807$ |
$[0, 1, 0, -18581, -984525]$ |
\(y^2=x^3+x^2-18581x-984525\) |
86.2.0.? |
$[]$ |
| 51600.cj1 |
51600dj1 |
51600.cj |
51600dj |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{10} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$294912$ |
$1.705297$ |
$-43304636317696/176326875$ |
$0.98881$ |
$4.29517$ |
$[0, 1, 0, -116133, -15325137]$ |
\(y^2=x^3+x^2-116133x-15325137\) |
86.2.0.? |
$[]$ |
| 110940.b1 |
110940b1 |
110940.b |
110940b |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$15.45410063$ |
$1$ |
|
$0$ |
$5677056$ |
$2.781178$ |
$-43304636317696/176326875$ |
$0.98881$ |
$5.12352$ |
$[0, -1, 0, -8589221, -9720159855]$ |
\(y^2=x^3-x^2-8589221x-9720159855\) |
86.2.0.? |
$[(215728352/97, 3141201673575/97)]$ |
| 123840.em1 |
123840cq1 |
123840.em |
123840cq |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{14} \cdot 3^{14} \cdot 5^{4} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$8.650945122$ |
$1$ |
|
$2$ |
$786432$ |
$1.796459$ |
$-43304636317696/176326875$ |
$0.98881$ |
$4.06780$ |
$[0, 0, 0, -167232, -26414944]$ |
\(y^2=x^3-167232x-26414944\) |
86.2.0.? |
$[(57097, 13642965)]$ |
| 123840.fq1 |
123840gi1 |
123840.fq |
123840gi |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{14} \cdot 3^{14} \cdot 5^{4} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$2.544573257$ |
$1$ |
|
$2$ |
$786432$ |
$1.796459$ |
$-43304636317696/176326875$ |
$0.98881$ |
$4.06780$ |
$[0, 0, 0, -167232, 26414944]$ |
\(y^2=x^3-167232x+26414944\) |
86.2.0.? |
$[(233, 315)]$ |
| 126420.k1 |
126420g1 |
126420.k |
126420g |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1105920$ |
$1.873535$ |
$-43304636317696/176326875$ |
$0.98881$ |
$4.13939$ |
$[0, -1, 0, -227621, -41870079]$ |
\(y^2=x^3-x^2-227621x-41870079\) |
86.2.0.? |
$[]$ |
| 154800.ce1 |
154800ca1 |
154800.ce |
154800ca |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{14} \cdot 5^{10} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2359296$ |
$2.254604$ |
$-43304636317696/176326875$ |
$0.98881$ |
$4.45190$ |
$[0, 0, 0, -1045200, 412733500]$ |
\(y^2=x^3-1045200x+412733500\) |
86.2.0.? |
$[]$ |
| 206400.bn1 |
206400ef1 |
206400.bn |
206400ef |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{10} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2359296$ |
$2.051872$ |
$-43304636317696/176326875$ |
$0.98881$ |
$4.14845$ |
$[0, -1, 0, -464533, -122136563]$ |
\(y^2=x^3-x^2-464533x-122136563\) |
86.2.0.? |
$[]$ |
| 206400.jd1 |
206400hj1 |
206400.jd |
206400hj |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{10} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.693917761$ |
$1$ |
|
$2$ |
$2359296$ |
$2.051872$ |
$-43304636317696/176326875$ |
$0.98881$ |
$4.14845$ |
$[0, 1, 0, -464533, 122136563]$ |
\(y^2=x^3+x^2-464533x+122136563\) |
86.2.0.? |
$[(398, 675)]$ |
| 312180.x1 |
312180x1 |
312180.x |
312180x |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 11^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$5.236223043$ |
$1$ |
|
$2$ |
$4392960$ |
$2.099525$ |
$-43304636317696/176326875$ |
$0.98881$ |
$4.05798$ |
$[0, 1, 0, -562085, -162957225]$ |
\(y^2=x^3+x^2-562085x-162957225\) |
86.2.0.? |
$[(1210, 30495)]$ |
| 332820.k1 |
332820k1 |
332820.k |
332820k |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.946679630$ |
$1$ |
|
$2$ |
$45416448$ |
$3.330486$ |
$-43304636317696/176326875$ |
$0.98881$ |
$5.19925$ |
$[0, 0, 0, -77302992, 262521619076]$ |
\(y^2=x^3-77302992x+262521619076\) |
86.2.0.? |
$[(172, 499230)]$ |
| 379260.br1 |
379260br1 |
379260.br |
379260br |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 7^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8847360$ |
$2.422840$ |
$-43304636317696/176326875$ |
$0.98881$ |
$4.29851$ |
$[0, 0, 0, -2048592, 1132540724]$ |
\(y^2=x^3-2048592x+1132540724\) |
86.2.0.? |
$[]$ |
| 436020.k1 |
436020k1 |
436020.k |
436020k |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 43 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 13^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6303744$ |
$2.183056$ |
$-43304636317696/176326875$ |
$0.98881$ |
$4.03076$ |
$[0, 1, 0, -785061, 268412535]$ |
\(y^2=x^3+x^2-785061x+268412535\) |
86.2.0.? |
$[]$ |
| 443760.bu1 |
443760bu1 |
443760.bu |
443760bu |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 43^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.696696784$ |
$1$ |
|
$14$ |
$22708224$ |
$2.781178$ |
$-43304636317696/176326875$ |
$0.98881$ |
$4.57729$ |
$[0, 1, 0, -8589221, 9720159855]$ |
\(y^2=x^3+x^2-8589221x+9720159855\) |
86.2.0.? |
$[(-29, 99846), (18547, 2496150)]$ |
