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 |
3870.i1 |
3870c2 |
3870.i |
3870c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{2} \cdot 3^{9} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$2.140887731$ |
$1$ |
|
$4$ |
$3072$ |
$0.684000$ |
$137627865747/36980$ |
$0.94746$ |
$4.30157$ |
$[1, -1, 0, -2904, -59500]$ |
\(y^2+xy=x^3-x^2-2904x-59500\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(-31, 19)]$ |
3870.q1 |
3870l2 |
3870.q |
3870l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$0.899922105$ |
$1$ |
|
$4$ |
$1024$ |
$0.134694$ |
$137627865747/36980$ |
$0.94746$ |
$3.50365$ |
$[1, -1, 1, -323, 2311]$ |
\(y^2+xy+y=x^3-x^2-323x+2311\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(11, -4)]$ |
19350.u1 |
19350a2 |
19350.u |
19350a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{7} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$0.418374803$ |
$1$ |
|
$8$ |
$24576$ |
$0.939413$ |
$137627865747/36980$ |
$0.94746$ |
$3.91069$ |
$[1, -1, 0, -8067, 280841]$ |
\(y^2+xy=x^3-x^2-8067x+280841\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(49, 13)]$ |
19350.cc1 |
19350bo2 |
19350.cc |
19350bo |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{7} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$73728$ |
$1.488718$ |
$137627865747/36980$ |
$0.94746$ |
$4.57851$ |
$[1, -1, 1, -72605, -7510103]$ |
\(y^2+xy+y=x^3-x^2-72605x-7510103\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
30960.j1 |
30960r2 |
30960.j |
30960r |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{14} \cdot 3^{3} \cdot 5 \cdot 43^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$7.088702683$ |
$1$ |
|
$9$ |
$24576$ |
$0.827841$ |
$137627865747/36980$ |
$0.94746$ |
$3.60346$ |
$[0, 0, 0, -5163, -142758]$ |
\(y^2=x^3-5163x-142758\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(-41, 2), (127, 1118)]$ |
30960.bl1 |
30960x2 |
30960.bl |
30960x |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{14} \cdot 3^{9} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$3.677370105$ |
$1$ |
|
$3$ |
$73728$ |
$1.377148$ |
$137627865747/36980$ |
$0.94746$ |
$4.24093$ |
$[0, 0, 0, -46467, 3854466]$ |
\(y^2=x^3-46467x+3854466\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(151, 530)]$ |
123840.bv1 |
123840a2 |
123840.bv |
123840a |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{20} \cdot 3^{9} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$7.560314647$ |
$1$ |
|
$3$ |
$589824$ |
$1.723721$ |
$137627865747/36980$ |
$0.94746$ |
$4.09423$ |
$[0, 0, 0, -185868, -30835728]$ |
\(y^2=x^3-185868x-30835728\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(3592, 213652)]$ |
123840.bw1 |
123840dt2 |
123840.bw |
123840dt |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{20} \cdot 3^{9} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$7.054324491$ |
$1$ |
|
$1$ |
$589824$ |
$1.723721$ |
$137627865747/36980$ |
$0.94746$ |
$4.09423$ |
$[0, 0, 0, -185868, 30835728]$ |
\(y^2=x^3-185868x+30835728\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(6556/5, 44704/5)]$ |
123840.fd1 |
123840p2 |
123840.fd |
123840p |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{20} \cdot 3^{3} \cdot 5 \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.174416$ |
$137627865747/36980$ |
$0.94746$ |
$3.53212$ |
$[0, 0, 0, -20652, 1142064]$ |
\(y^2=x^3-20652x+1142064\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
123840.fe1 |
123840ee2 |
123840.fe |
123840ee |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{20} \cdot 3^{3} \cdot 5 \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$196608$ |
$1.174416$ |
$137627865747/36980$ |
$0.94746$ |
$3.53212$ |
$[0, 0, 0, -20652, -1142064]$ |
\(y^2=x^3-20652x-1142064\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
154800.dm1 |
154800ei2 |
154800.dm |
154800ei |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{14} \cdot 3^{9} \cdot 5^{7} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$5.430391300$ |
$1$ |
|
$3$ |
$1769472$ |
$2.181866$ |
$137627865747/36980$ |
$0.94746$ |
$4.47784$ |
$[0, 0, 0, -1161675, 481808250]$ |
\(y^2=x^3-1161675x+481808250\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(799, 7982)]$ |
154800.dn1 |
154800ej2 |
154800.dn |
154800ej |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$4.131020346$ |
$1$ |
|
$3$ |
$589824$ |
$1.632561$ |
$137627865747/36980$ |
$0.94746$ |
$3.92623$ |
$[0, 0, 0, -129075, -17844750]$ |
\(y^2=x^3-129075x-17844750\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(415, 250)]$ |
166410.y1 |
166410cn2 |
166410.y |
166410cn |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$7.573453697$ |
$1$ |
|
$0$ |
$1892352$ |
$2.015293$ |
$137627865747/36980$ |
$0.94746$ |
$4.28464$ |
$[1, -1, 0, -596649, -177198655]$ |
\(y^2+xy=x^3-x^2-596649x-177198655\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(-7051/4, 8551/4)]$ |
166410.bx1 |
166410bc2 |
166410.bx |
166410bc |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 5 \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$9.425877294$ |
$1$ |
|
$2$ |
$5677056$ |
$2.564602$ |
$137627865747/36980$ |
$0.94746$ |
$4.83293$ |
$[1, -1, 1, -5369843, 4789733527]$ |
\(y^2+xy+y=x^3-x^2-5369843x+4789733527\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(17867, 2360092)]$ |
189630.v1 |
189630ev2 |
189630.v |
189630ev |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 2^{2} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1.025071729$ |
$1$ |
|
$8$ |
$1179648$ |
$1.656956$ |
$137627865747/36980$ |
$0.94746$ |
$3.88476$ |
$[1, -1, 0, -142305, 20693105]$ |
\(y^2+xy=x^3-x^2-142305x+20693105\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(268, 1189)]$ |
189630.ep1 |
189630bt2 |
189630.ep |
189630bt |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$4.373523740$ |
$1$ |
|
$0$ |
$393216$ |
$1.107649$ |
$137627865747/36980$ |
$0.94746$ |
$3.34236$ |
$[1, -1, 1, -15812, -761141]$ |
\(y^2+xy+y=x^3-x^2-15812x-761141\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(-289/2, 391/2)]$ |
468270.q1 |
468270q2 |
468270.q |
468270q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 11^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1474560$ |
$1.333641$ |
$137627865747/36980$ |
$0.94746$ |
$3.31866$ |
$[1, -1, 0, -39045, -2959159]$ |
\(y^2+xy=x^3-x^2-39045x-2959159\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |
468270.ds1 |
468270ds2 |
468270.ds |
468270ds |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( 2^{2} \cdot 3^{9} \cdot 5 \cdot 11^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4423680$ |
$1.882948$ |
$137627865747/36980$ |
$0.94746$ |
$3.82350$ |
$[1, -1, 1, -351407, 80248699]$ |
\(y^2+xy+y=x^3-x^2-351407x+80248699\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[]$ |