| 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 |
| 6534.a1 |
6534c1 |
6534.a |
6534c |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$0.434862323$ |
$1$ |
|
$4$ |
$864$ |
$-0.270551$ |
$-729/8$ |
$1.02512$ |
$2.28521$ |
$1$ |
$[1, -1, 0, -6, 28]$ |
\(y^2+xy=x^3-x^2-6x+28\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[(3, 4)]$ |
$1$ |
| 6534.n1 |
6534b1 |
6534.n |
6534b |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$4.044057736$ |
$1$ |
|
$2$ |
$28512$ |
$1.477703$ |
$-729/8$ |
$1.02512$ |
$4.67333$ |
$1$ |
$[1, -1, 0, -6738, 952892]$ |
\(y^2+xy=x^3-x^2-6738x+952892\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[(2027, 90160)]$ |
$1$ |
| 6534.q1 |
6534r1 |
6534.q |
6534r |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$9504$ |
$0.928396$ |
$-729/8$ |
$1.02512$ |
$3.92297$ |
$1$ |
$[1, -1, 1, -749, -35043]$ |
\(y^2+xy+y=x^3-x^2-749x-35043\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[ ]$ |
$1$ |
| 6534.bb1 |
6534q1 |
6534.bb |
6534q |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2592$ |
$0.278755$ |
$-729/8$ |
$1.02512$ |
$3.03556$ |
$1$ |
$[1, -1, 1, -56, -701]$ |
\(y^2+xy+y=x^3-x^2-56x-701\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[ ]$ |
$1$ |
| 52272.j1 |
52272cp1 |
52272.j |
52272cp |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$0.617897011$ |
$1$ |
|
$4$ |
$20736$ |
$0.422596$ |
$-729/8$ |
$1.02512$ |
$2.61343$ |
$1$ |
$[0, 0, 0, -99, -1694]$ |
\(y^2=x^3-99x-1694\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[(33, 176)]$ |
$1$ |
| 52272.k1 |
52272co1 |
52272.k |
52272co |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$3.253464326$ |
$1$ |
|
$2$ |
$228096$ |
$1.621544$ |
$-729/8$ |
$1.02512$ |
$3.93772$ |
$1$ |
$[0, 0, 0, -11979, 2254714]$ |
\(y^2=x^3-11979x+2254714\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[(1815, 77198)]$ |
$1$ |
| 52272.cw1 |
52272cn1 |
52272.cw |
52272cn |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$0.837122931$ |
$1$ |
|
$4$ |
$62208$ |
$0.971902$ |
$-729/8$ |
$1.02512$ |
$3.22016$ |
$1$ |
$[0, 0, 0, -891, 45738]$ |
\(y^2=x^3-891x+45738\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[(-33, 198)]$ |
$1$ |
| 52272.cx1 |
52272cm1 |
52272.cx |
52272cm |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$3.061976342$ |
$1$ |
|
$0$ |
$684288$ |
$2.170849$ |
$-729/8$ |
$1.02512$ |
$4.54445$ |
$1$ |
$[0, 0, 0, -107811, -60877278]$ |
\(y^2=x^3-107811x-60877278\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[(15609/5, 1341648/5)]$ |
$1$ |
| 163350.ca1 |
163350fv1 |
163350.ca |
163350fv |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{6} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1026432$ |
$1.733116$ |
$-729/8$ |
$1.02512$ |
$3.67547$ |
$1$ |
$[1, -1, 0, -18717, -4399059]$ |
\(y^2+xy=x^3-x^2-18717x-4399059\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[ ]$ |
$1$ |
| 163350.cm1 |
163350fy1 |
163350.cm |
163350fy |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{6} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$279936$ |
$1.083473$ |
$-729/8$ |
$1.02512$ |
$3.02603$ |
$1$ |
$[1, -1, 0, -1392, -88984]$ |
\(y^2+xy=x^3-x^2-1392x-88984\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[ ]$ |
$1$ |
| 163350.gj1 |
163350bm1 |
163350.gj |
163350bm |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{6} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$3.038504425$ |
$1$ |
|
$0$ |
$3079296$ |
$2.282421$ |
$-729/8$ |
$1.02512$ |
$4.22461$ |
$1$ |
$[1, -1, 1, -168455, 118943047]$ |
\(y^2+xy+y=x^3-x^2-168455x+118943047\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[(-725/2, 96553/2)]$ |
$1$ |
| 163350.gv1 |
163350bp1 |
163350.gv |
163350bp |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{6} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1.875771711$ |
$1$ |
|
$2$ |
$93312$ |
$0.534167$ |
$-729/8$ |
$1.02512$ |
$2.47689$ |
$1$ |
$[1, -1, 1, -155, 3347]$ |
\(y^2+xy+y=x^3-x^2-155x+3347\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[(25, 108)]$ |
$1$ |
| 209088.w1 |
209088cf1 |
209088.w |
209088cf |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{21} \cdot 3^{9} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$5474304$ |
$2.517422$ |
$-729/8$ |
$1.02512$ |
$4.36968$ |
$1$ |
$[0, 0, 0, -431244, -487018224]$ |
\(y^2=x^3-431244x-487018224\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[ ]$ |
$1$ |
| 209088.x1 |
209088dy1 |
209088.x |
209088dy |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{21} \cdot 3^{9} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$5474304$ |
$2.517422$ |
$-729/8$ |
$1.02512$ |
$4.36968$ |
$1$ |
$[0, 0, 0, -431244, 487018224]$ |
\(y^2=x^3-431244x+487018224\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[ ]$ |
$1$ |
| 209088.y1 |
209088dz1 |
209088.y |
209088dz |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{21} \cdot 3^{9} \cdot 11^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1.847090892$ |
$1$ |
|
$10$ |
$497664$ |
$1.318476$ |
$-729/8$ |
$1.02512$ |
$3.19525$ |
$1$ |
$[0, 0, 0, -3564, -365904]$ |
\(y^2=x^3-3564x-365904\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[(102, 576), (1254, 44352)]$ |
$1$ |
| 209088.z1 |
209088cg1 |
209088.z |
209088cg |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{21} \cdot 3^{9} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$497664$ |
$1.318476$ |
$-729/8$ |
$1.02512$ |
$3.19525$ |
$1$ |
$[0, 0, 0, -3564, 365904]$ |
\(y^2=x^3-3564x+365904\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[ ]$ |
$1$ |
| 209088.ha1 |
209088do1 |
209088.ha |
209088do |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{21} \cdot 3^{3} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1824768$ |
$1.968117$ |
$-729/8$ |
$1.02512$ |
$3.83160$ |
$1$ |
$[0, 0, 0, -47916, 18037712]$ |
\(y^2=x^3-47916x+18037712\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[ ]$ |
$1$ |
| 209088.hb1 |
209088fj1 |
209088.hb |
209088fj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{21} \cdot 3^{3} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1824768$ |
$1.968117$ |
$-729/8$ |
$1.02512$ |
$3.83160$ |
$1$ |
$[0, 0, 0, -47916, -18037712]$ |
\(y^2=x^3-47916x-18037712\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[ ]$ |
$1$ |
| 209088.hc1 |
209088fk1 |
209088.hc |
209088fk |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{21} \cdot 3^{3} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$165888$ |
$0.769170$ |
$-729/8$ |
$1.02512$ |
$2.65717$ |
$1$ |
$[0, 0, 0, -396, 13552]$ |
\(y^2=x^3-396x+13552\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[ ]$ |
$1$ |
| 209088.hd1 |
209088dp1 |
209088.hd |
209088dp |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{21} \cdot 3^{3} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$165888$ |
$0.769170$ |
$-729/8$ |
$1.02512$ |
$2.65717$ |
$1$ |
$[0, 0, 0, -396, -13552]$ |
\(y^2=x^3-396x-13552\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[ ]$ |
$1$ |
| 320166.h1 |
320166h1 |
320166.h |
320166h |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 7^{6} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1.493441901$ |
$1$ |
|
$4$ |
$10948608$ |
$2.450657$ |
$-729/8$ |
$1.02512$ |
$4.15960$ |
$1$ |
$[1, -1, 0, -330171, -326181619]$ |
\(y^2+xy=x^3-x^2-330171x-326181619\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[(4447, 291262)]$ |
$1$ |
| 320166.eb1 |
320166eb1 |
320166.eb |
320166eb |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{6} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1.999624102$ |
$1$ |
|
$2$ |
$331776$ |
$0.702404$ |
$-729/8$ |
$1.02512$ |
$2.50466$ |
$1$ |
$[1, -1, 0, -303, -9003]$ |
\(y^2+xy=x^3-x^2-303x-9003\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[(37, 153)]$ |
$1$ |
| 320166.ex1 |
320166ex1 |
320166.ex |
320166ex |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 7^{6} \cdot 11^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$0.470661801$ |
$1$ |
|
$16$ |
$995328$ |
$1.251711$ |
$-729/8$ |
$1.02512$ |
$3.02465$ |
$1$ |
$[1, -1, 1, -2729, 245809]$ |
\(y^2+xy+y=x^3-x^2-2729x+245809\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[(289, 4706), (37, 422)]$ |
$1$ |
| 320166.ic1 |
320166ic1 |
320166.ic |
320166ic |
$1$ |
$1$ |
\( 2 \cdot 3^{3} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{6} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$264$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3649536$ |
$1.901352$ |
$-729/8$ |
$1.02512$ |
$3.63961$ |
$1$ |
$[1, -1, 1, -36686, 12093029]$ |
\(y^2+xy+y=x^3-x^2-36686x+12093029\) |
3.6.0.b.1, 24.12.0.bx.1, 33.12.0.a.1, 264.24.1.? |
$[ ]$ |
$1$ |
