| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 8736.a1 |
8736q1 |
8736.a |
8736q |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13 \) |
\( - 2^{12} \cdot 3^{14} \cdot 7^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1.270525586$ |
$1$ |
|
$4$ |
$26880$ |
$1.356504$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.36286$ |
$1$ |
$[0, -1, 0, -3757, 459589]$ |
\(y^2=x^3-x^2-3757x+459589\) |
182.2.0.? |
$[(427, 8748)]$ |
$1$ |
| 8736.q1 |
8736bb1 |
8736.q |
8736bb |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13 \) |
\( - 2^{12} \cdot 3^{14} \cdot 7^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.202478462$ |
$1$ |
|
$8$ |
$26880$ |
$1.356504$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.36286$ |
$1$ |
$[0, 1, 0, -3757, -459589]$ |
\(y^2=x^3+x^2-3757x-459589\) |
182.2.0.? |
$[(113, 756)]$ |
$1$ |
| 17472.bn1 |
17472ch1 |
17472.bn |
17472ch |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \) |
\( - 2^{6} \cdot 3^{14} \cdot 7^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$2.421253622$ |
$1$ |
|
$0$ |
$26880$ |
$1.009932$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$3.62753$ |
$1$ |
$[0, -1, 0, -939, -56979]$ |
\(y^2=x^3-x^2-939x-56979\) |
182.2.0.? |
$[(1236/5, 15309/5)]$ |
$1$ |
| 17472.cz1 |
17472cp1 |
17472.cz |
17472cp |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \) |
\( - 2^{6} \cdot 3^{14} \cdot 7^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.704001286$ |
$1$ |
|
$2$ |
$26880$ |
$1.009932$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$3.62753$ |
$1$ |
$[0, 1, 0, -939, 56979]$ |
\(y^2=x^3+x^2-939x+56979\) |
182.2.0.? |
$[(-30, 243)]$ |
$1$ |
| 26208.bo1 |
26208n1 |
26208.bo |
26208n |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) |
\( - 2^{12} \cdot 3^{20} \cdot 7^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$11.25917547$ |
$1$ |
|
$0$ |
$215040$ |
$1.905811$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.53965$ |
$1$ |
$[0, 0, 0, -33816, -12375088]$ |
\(y^2=x^3-33816x-12375088\) |
182.2.0.? |
$[(522088/29, 349943724/29)]$ |
$1$ |
| 26208.br1 |
26208y1 |
26208.br |
26208y |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) |
\( - 2^{12} \cdot 3^{20} \cdot 7^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$1.905811$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.53965$ |
$1$ |
$[0, 0, 0, -33816, 12375088]$ |
\(y^2=x^3-33816x+12375088\) |
182.2.0.? |
$[ ]$ |
$1$ |
| 52416.i1 |
52416ew1 |
52416.i |
52416ew |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \) |
\( - 2^{6} \cdot 3^{20} \cdot 7^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$10.20289937$ |
$1$ |
|
$0$ |
$215040$ |
$1.559237$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$3.86738$ |
$1$ |
$[0, 0, 0, -8454, -1546886]$ |
\(y^2=x^3-8454x-1546886\) |
182.2.0.? |
$[(57053/17, 10396521/17)]$ |
$1$ |
| 52416.y1 |
52416gc1 |
52416.y |
52416gc |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \) |
\( - 2^{6} \cdot 3^{20} \cdot 7^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$1.559237$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$3.86738$ |
$1$ |
$[0, 0, 0, -8454, 1546886]$ |
\(y^2=x^3-8454x+1546886\) |
182.2.0.? |
$[ ]$ |
$1$ |
| 61152.ba1 |
61152bg1 |
61152.ba |
61152bg |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{14} \cdot 7^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$2.253933965$ |
$1$ |
|
$0$ |
$1290240$ |
$2.329460$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.65192$ |
$1$ |
$[0, -1, 0, -184109, 157270821]$ |
\(y^2=x^3-x^2-184109x+157270821\) |
182.2.0.? |
$[(1865/4, 750141/4)]$ |
$1$ |
| 61152.ce1 |
61152bv1 |
61152.ce |
61152bv |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{14} \cdot 7^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$2.329460$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.65192$ |
$1$ |
$[0, 1, 0, -184109, -157270821]$ |
\(y^2=x^3+x^2-184109x-157270821\) |
182.2.0.? |
$[ ]$ |
$1$ |
| 113568.bl1 |
113568v1 |
113568.bl |
113568v |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{14} \cdot 7^{3} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4515840$ |
$2.638981$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.72361$ |
$1$ |
$[0, -1, 0, -634989, 1007177157]$ |
\(y^2=x^3-x^2-634989x+1007177157\) |
182.2.0.? |
$[ ]$ |
$1$ |
| 113568.cw1 |
113568be1 |
113568.cw |
113568be |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{14} \cdot 7^{3} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4515840$ |
$2.638981$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.72361$ |
$1$ |
$[0, 1, 0, -634989, -1007177157]$ |
\(y^2=x^3+x^2-634989x-1007177157\) |
182.2.0.? |
$[ ]$ |
$1$ |
| 122304.l1 |
122304gl1 |
122304.l |
122304gl |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{14} \cdot 7^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$1.982885$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.02163$ |
$1$ |
$[0, -1, 0, -46027, -19635839]$ |
\(y^2=x^3-x^2-46027x-19635839\) |
182.2.0.? |
$[ ]$ |
$1$ |
| 122304.eu1 |
122304ip1 |
122304.eu |
122304ip |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{14} \cdot 7^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.446470192$ |
$1$ |
|
$2$ |
$1290240$ |
$1.982885$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.02163$ |
$1$ |
$[0, 1, 0, -46027, 19635839]$ |
\(y^2=x^3+x^2-46027x+19635839\) |
182.2.0.? |
$[(926, 27783)]$ |
$1$ |
| 183456.i1 |
183456ck1 |
183456.i |
183456ck |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{20} \cdot 7^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$3.614846662$ |
$1$ |
|
$2$ |
$10321920$ |
$2.878765$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.77412$ |
$1$ |
$[0, 0, 0, -1656984, -4244655184]$ |
\(y^2=x^3-1656984x-4244655184\) |
182.2.0.? |
$[(1988, 17836)]$ |
$1$ |
| 183456.j1 |
183456cl1 |
183456.j |
183456cl |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{20} \cdot 7^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$4.569953922$ |
$1$ |
|
$2$ |
$10321920$ |
$2.878765$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.77412$ |
$1$ |
$[0, 0, 0, -1656984, 4244655184]$ |
\(y^2=x^3-1656984x+4244655184\) |
182.2.0.? |
$[(4760, 322812)]$ |
$1$ |
| 218400.p1 |
218400fo1 |
218400.p |
218400fo |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{12} \cdot 3^{14} \cdot 5^{6} \cdot 7^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$14.72624393$ |
$1$ |
|
$0$ |
$2903040$ |
$2.161224$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.00603$ |
$1$ |
$[0, -1, 0, -93933, -57260763]$ |
\(y^2=x^3-x^2-93933x-57260763\) |
182.2.0.? |
$[(313277031/245, 5533668761004/245)]$ |
$1$ |
| 218400.fa1 |
218400de1 |
218400.fa |
218400de |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{12} \cdot 3^{14} \cdot 5^{6} \cdot 7^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.534752237$ |
$1$ |
|
$6$ |
$2903040$ |
$2.161224$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.00603$ |
$1$ |
$[0, 1, 0, -93933, 57260763]$ |
\(y^2=x^3+x^2-93933x+57260763\) |
182.2.0.? |
$[(189, 6804)]$ |
$1$ |
| 227136.g1 |
227136cn1 |
227136.g |
227136cn |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{14} \cdot 7^{3} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4515840$ |
$2.292404$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.12093$ |
$1$ |
$[0, -1, 0, -158747, -125817771]$ |
\(y^2=x^3-x^2-158747x-125817771\) |
182.2.0.? |
$[ ]$ |
$1$ |
| 227136.fg1 |
227136c1 |
227136.fg |
227136c |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{14} \cdot 7^{3} \cdot 13^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.433499082$ |
$1$ |
|
$12$ |
$4515840$ |
$2.292404$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.12093$ |
$1$ |
$[0, 1, 0, -158747, 125817771]$ |
\(y^2=x^3+x^2-158747x+125817771\) |
182.2.0.? |
$[(82, 10647), (-9335/4, 287469/4)]$ |
$1$ |
| 340704.i1 |
340704i1 |
340704.i |
340704i |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{20} \cdot 7^{3} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$6.337073829$ |
$1$ |
|
$2$ |
$36126720$ |
$3.188286$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.83369$ |
$1$ |
$[0, 0, 0, -5714904, 27188068336]$ |
\(y^2=x^3-5714904x+27188068336\) |
182.2.0.? |
$[(-196, 168228)]$ |
$1$ |
| 340704.o1 |
340704o1 |
340704.o |
340704o |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{20} \cdot 7^{3} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36126720$ |
$3.188286$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.83369$ |
$1$ |
$[0, 0, 0, -5714904, -27188068336]$ |
\(y^2=x^3-5714904x-27188068336\) |
182.2.0.? |
$[ ]$ |
$1$ |
| 366912.pa1 |
366912pa1 |
366912.pa |
366912pa |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{20} \cdot 7^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$17.93147963$ |
$1$ |
|
$0$ |
$10321920$ |
$2.532192$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.19126$ |
$1$ |
$[0, 0, 0, -414246, 530581898]$ |
\(y^2=x^3-414246x+530581898\) |
182.2.0.? |
$[(1079683549/655, 34902448225407/655)]$ |
$1$ |
| 366912.pb1 |
366912pb1 |
366912.pb |
366912pb |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{20} \cdot 7^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$18.15262318$ |
$1$ |
|
$0$ |
$10321920$ |
$2.532192$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$4.19126$ |
$1$ |
$[0, 0, 0, -414246, -530581898]$ |
\(y^2=x^3-414246x-530581898\) |
182.2.0.? |
$[(1708181433/1019, 60227253902389/1019)]$ |
$1$ |
| 436800.in1 |
436800in1 |
436800.in |
436800in |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{6} \cdot 3^{14} \cdot 5^{6} \cdot 7^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2903040$ |
$1.814650$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$3.47200$ |
$1$ |
$[0, -1, 0, -23483, 7169337]$ |
\(y^2=x^3-x^2-23483x+7169337\) |
182.2.0.? |
$[ ]$ |
$1$ |
| 436800.ne1 |
436800ne1 |
436800.ne |
436800ne |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{6} \cdot 3^{14} \cdot 5^{6} \cdot 7^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2903040$ |
$1.814650$ |
$-1432197595648/21327258771$ |
$1.00020$ |
$3.47200$ |
$1$ |
$[0, 1, 0, -23483, -7169337]$ |
\(y^2=x^3+x^2-23483x-7169337\) |
182.2.0.? |
$[ ]$ |
$1$ |