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.a1 |
11220e1 |
11220.a |
11220e |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{13} \cdot 5^{7} \cdot 11 \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$698880$ |
$2.692242$ |
$-8916171784936232672464/1945376358587578125$ |
$1.03076$ |
$6.04874$ |
$[0, -1, 0, -2743036, 2052861640]$ |
\(y^2=x^3-x^2-2743036x+2052861640\) |
11220.2.0.? |
$[]$ |
33660.e1 |
33660h1 |
33660.e |
33660h |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{19} \cdot 5^{7} \cdot 11 \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5591040$ |
$3.241547$ |
$-8916171784936232672464/1945376358587578125$ |
$1.03076$ |
$6.04360$ |
$[0, 0, 0, -24687327, -55402576954]$ |
\(y^2=x^3-24687327x-55402576954\) |
11220.2.0.? |
$[]$ |
44880.ch1 |
44880cg1 |
44880.ch |
44880cg |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{13} \cdot 5^{7} \cdot 11 \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2795520$ |
$2.692242$ |
$-8916171784936232672464/1945376358587578125$ |
$1.03076$ |
$5.26592$ |
$[0, 1, 0, -2743036, -2052861640]$ |
\(y^2=x^3+x^2-2743036x-2052861640\) |
11220.2.0.? |
$[]$ |
56100.be1 |
56100y1 |
56100.be |
56100y |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{13} \cdot 5^{13} \cdot 11 \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16773120$ |
$3.496960$ |
$-8916171784936232672464/1945376358587578125$ |
$1.03076$ |
$6.04157$ |
$[0, 1, 0, -68575908, 256470553188]$ |
\(y^2=x^3+x^2-68575908x+256470553188\) |
11220.2.0.? |
$[]$ |
123420.n1 |
123420f1 |
123420.n |
123420f |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{13} \cdot 5^{7} \cdot 11^{7} \cdot 17^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$29.03346102$ |
$1$ |
|
$0$ |
$83865600$ |
$3.891186$ |
$-8916171784936232672464/1945376358587578125$ |
$1.03076$ |
$6.03877$ |
$[0, -1, 0, -331907396, -2731031213304]$ |
\(y^2=x^3-x^2-331907396x-2731031213304\) |
11220.2.0.? |
$[(62259166337173/41979, 402745750877864097836/41979)]$ |
134640.fv1 |
134640bq1 |
134640.fv |
134640bq |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{19} \cdot 5^{7} \cdot 11 \cdot 17^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$3.874657669$ |
$1$ |
|
$2$ |
$22364160$ |
$3.241547$ |
$-8916171784936232672464/1945376358587578125$ |
$1.03076$ |
$5.33421$ |
$[0, 0, 0, -24687327, 55402576954]$ |
\(y^2=x^3-24687327x+55402576954\) |
11220.2.0.? |
$[(50078, 11153700)]$ |
168300.ca1 |
168300bs1 |
168300.ca |
168300bs |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{19} \cdot 5^{13} \cdot 11 \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$134184960$ |
$4.046265$ |
$-8916171784936232672464/1945376358587578125$ |
$1.03076$ |
$6.03777$ |
$[0, 0, 0, -617183175, -6925322119250]$ |
\(y^2=x^3-617183175x-6925322119250\) |
11220.2.0.? |
$[]$ |
179520.ef1 |
179520df1 |
179520.ef |
179520df |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{14} \cdot 3^{13} \cdot 5^{7} \cdot 11 \cdot 17^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$3.312677686$ |
$1$ |
|
$2$ |
$22364160$ |
$3.038815$ |
$-8916171784936232672464/1945376358587578125$ |
$1.03076$ |
$5.00628$ |
$[0, -1, 0, -10972145, -16411920975]$ |
\(y^2=x^3-x^2-10972145x-16411920975\) |
11220.2.0.? |
$[(4555, 167620)]$ |
179520.gg1 |
179520ej1 |
179520.gg |
179520ej |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{14} \cdot 3^{13} \cdot 5^{7} \cdot 11 \cdot 17^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$0.070756615$ |
$1$ |
|
$44$ |
$22364160$ |
$3.038815$ |
$-8916171784936232672464/1945376358587578125$ |
$1.03076$ |
$5.00628$ |
$[0, 1, 0, -10972145, 16411920975]$ |
\(y^2=x^3+x^2-10972145x+16411920975\) |
11220.2.0.? |
$[(9895, 936360), (-3875, 27540)]$ |
190740.bi1 |
190740o1 |
190740.bi |
190740o |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{13} \cdot 5^{7} \cdot 11 \cdot 17^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$201277440$ |
$4.108849$ |
$-8916171784936232672464/1945376358587578125$ |
$1.03076$ |
$6.03738$ |
$[0, 1, 0, -792737500, 10080952812500]$ |
\(y^2=x^3+x^2-792737500x+10080952812500\) |
11220.2.0.? |
$[]$ |
224400.b1 |
224400eg1 |
224400.b |
224400eg |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{13} \cdot 5^{13} \cdot 11 \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$67092480$ |
$3.496960$ |
$-8916171784936232672464/1945376358587578125$ |
$1.03076$ |
$5.36181$ |
$[0, -1, 0, -68575908, -256470553188]$ |
\(y^2=x^3-x^2-68575908x-256470553188\) |
11220.2.0.? |
$[]$ |
370260.co1 |
370260co1 |
370260.co |
370260co |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{19} \cdot 5^{7} \cdot 11^{7} \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$670924800$ |
$4.440491$ |
$-8916171784936232672464/1945376358587578125$ |
$1.03076$ |
$6.03545$ |
$[0, 0, 0, -2987166567, 73740829925774]$ |
\(y^2=x^3-2987166567x+73740829925774\) |
11220.2.0.? |
$[]$ |
493680.dv1 |
493680dv1 |
493680.dv |
493680dv |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{13} \cdot 5^{7} \cdot 11^{7} \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$335462400$ |
$3.891186$ |
$-8916171784936232672464/1945376358587578125$ |
$1.03076$ |
$5.40019$ |
$[0, 1, 0, -331907396, 2731031213304]$ |
\(y^2=x^3+x^2-331907396x+2731031213304\) |
11220.2.0.? |
$[]$ |