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 |
11220.g1 |
11220g1 |
11220.g |
11220g |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4032$ |
$0.363591$ |
$-1193895376/2044845$ |
$0.79846$ |
$2.98343$ |
$[0, -1, 0, -140, 1320]$ |
\(y^2=x^3-x^2-140x+1320\) |
11220.2.0.? |
$[]$ |
33660.b1 |
33660c1 |
33660.b |
33660c |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{13} \cdot 5 \cdot 11 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$0.912897$ |
$-1193895376/2044845$ |
$0.79846$ |
$3.30135$ |
$[0, 0, 0, -1263, -34378]$ |
\(y^2=x^3-1263x-34378\) |
11220.2.0.? |
$[]$ |
44880.cy1 |
44880cz1 |
44880.cy |
44880cz |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$0.363591$ |
$-1193895376/2044845$ |
$0.79846$ |
$2.59732$ |
$[0, 1, 0, -140, -1320]$ |
\(y^2=x^3+x^2-140x-1320\) |
11220.2.0.? |
$[]$ |
56100.z1 |
56100q1 |
56100.z |
56100q |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{7} \cdot 11 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$0.154950455$ |
$1$ |
|
$8$ |
$96768$ |
$1.168310$ |
$-1193895376/2044845$ |
$0.79846$ |
$3.42742$ |
$[0, 1, 0, -3508, 157988]$ |
\(y^2=x^3+x^2-3508x+157988\) |
11220.2.0.? |
$[(-52, 450)]$ |
123420.s1 |
123420q1 |
123420.s |
123420q |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 11^{7} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$483840$ |
$1.562538$ |
$-1193895376/2044845$ |
$0.79846$ |
$3.60044$ |
$[0, -1, 0, -16980, -1689048]$ |
\(y^2=x^3-x^2-16980x-1689048\) |
11220.2.0.? |
$[]$ |
134640.cd1 |
134640ck1 |
134640.cd |
134640ck |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{13} \cdot 5 \cdot 11 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$2.133392105$ |
$1$ |
|
$2$ |
$129024$ |
$0.912897$ |
$-1193895376/2044845$ |
$0.79846$ |
$2.91384$ |
$[0, 0, 0, -1263, 34378]$ |
\(y^2=x^3-1263x+34378\) |
11220.2.0.? |
$[(158, 1944)]$ |
168300.bv1 |
168300bl1 |
168300.bv |
168300bl |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{13} \cdot 5^{7} \cdot 11 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$6.550695046$ |
$1$ |
|
$0$ |
$774144$ |
$1.717617$ |
$-1193895376/2044845$ |
$0.79846$ |
$3.66228$ |
$[0, 0, 0, -31575, -4297250]$ |
\(y^2=x^3-31575x-4297250\) |
11220.2.0.? |
$[(11354/5, 1082808/5)]$ |
179520.bn1 |
179520ed1 |
179520.bn |
179520ed |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{14} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$7.489497397$ |
$1$ |
|
$2$ |
$129024$ |
$0.710165$ |
$-1193895376/2044845$ |
$0.79846$ |
$2.64346$ |
$[0, -1, 0, -561, -9999]$ |
\(y^2=x^3-x^2-561x-9999\) |
11220.2.0.? |
$[(3563, 212644)]$ |
179520.er1 |
179520fs1 |
179520.er |
179520fs |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{14} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$0.464200384$ |
$1$ |
|
$16$ |
$129024$ |
$0.710165$ |
$-1193895376/2044845$ |
$0.79846$ |
$2.64346$ |
$[0, 1, 0, -561, 9999]$ |
\(y^2=x^3+x^2-561x+9999\) |
11220.2.0.? |
$[(15, 72), (-3, 108)]$ |
190740.s1 |
190740r1 |
190740.s |
190740r |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1161216$ |
$1.780197$ |
$-1193895376/2044845$ |
$0.79846$ |
$3.68635$ |
$[0, 1, 0, -40556, 6242004]$ |
\(y^2=x^3+x^2-40556x+6242004\) |
11220.2.0.? |
$[]$ |
224400.y1 |
224400en1 |
224400.y |
224400en |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{7} \cdot 11 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$2.752834484$ |
$1$ |
|
$2$ |
$387072$ |
$1.168310$ |
$-1193895376/2044845$ |
$0.79846$ |
$3.04179$ |
$[0, -1, 0, -3508, -157988]$ |
\(y^2=x^3-x^2-3508x-157988\) |
11220.2.0.? |
$[(77, 150)]$ |
370260.v1 |
370260v1 |
370260.v |
370260v |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{13} \cdot 5 \cdot 11^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$3.596410460$ |
$1$ |
|
$2$ |
$3870720$ |
$2.111843$ |
$-1193895376/2044845$ |
$0.79846$ |
$3.80604$ |
$[0, 0, 0, -152823, 45757118]$ |
\(y^2=x^3-152823x+45757118\) |
11220.2.0.? |
$[(-418, 6050)]$ |
493680.gb1 |
493680gb1 |
493680.gb |
493680gb |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 11^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$0.925511384$ |
$1$ |
|
$2$ |
$1935360$ |
$1.562538$ |
$-1193895376/2044845$ |
$0.79846$ |
$3.21971$ |
$[0, 1, 0, -16980, 1689048]$ |
\(y^2=x^3+x^2-16980x+1689048\) |
11220.2.0.? |
$[(183, 2178)]$ |