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 |
75810.j2 |
75810n1 |
75810.j |
75810n |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{21} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$7.481513583$ |
$1$ |
|
$0$ |
$544320$ |
$1.629847$ |
$105093573726037969/1444738498560$ |
$0.98084$ |
$4.01233$ |
$[1, 1, 0, -70003, 7014637]$ |
\(y^2+xy=x^3+x^2-70003x+7014637\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 840.8.0.?, 15960.16.0.? |
$[(-1137/2, 17231/2)]$ |
75810.db2 |
75810db1 |
75810.db |
75810db |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{21} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 19^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$10342080$ |
$3.102066$ |
$105093573726037969/1444738498560$ |
$0.98084$ |
$5.58466$ |
$[1, 0, 0, -25271271, -48315564855]$ |
\(y^2+xy=x^3-25271271x-48315564855\) |
3.8.0-3.a.1.2, 840.16.0.? |
$[]$ |
227430.db2 |
227430dr1 |
227430.db |
227430dr |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{21} \cdot 3^{15} \cdot 5 \cdot 7 \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82736640$ |
$3.651371$ |
$105093573726037969/1444738498560$ |
$0.98084$ |
$5.62165$ |
$[1, -1, 0, -227441439, 1304520251085]$ |
\(y^2+xy=x^3-x^2-227441439x+1304520251085\) |
3.8.0-3.a.1.1, 840.16.0.? |
$[]$ |
227430.gc2 |
227430l1 |
227430.gc |
227430l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{21} \cdot 3^{15} \cdot 5 \cdot 7 \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4354560$ |
$2.179153$ |
$105093573726037969/1444738498560$ |
$0.98084$ |
$4.18937$ |
$[1, -1, 1, -630032, -190025229]$ |
\(y^2+xy+y=x^3-x^2-630032x-190025229\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 840.8.0.?, 15960.16.0.? |
$[]$ |
379050.i2 |
379050i1 |
379050.i |
379050i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{21} \cdot 3^{9} \cdot 5^{7} \cdot 7 \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$10.20819890$ |
$1$ |
|
$0$ |
$248209920$ |
$3.906784$ |
$105093573726037969/1444738498560$ |
$0.98084$ |
$5.63670$ |
$[1, 1, 0, -631781775, -6039445606875]$ |
\(y^2+xy=x^3+x^2-631781775x-6039445606875\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 168.8.0.?, 840.16.0.? |
$[(7835585/13, 17571513835/13)]$ |
379050.hz2 |
379050hz1 |
379050.hz |
379050hz |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{21} \cdot 3^{9} \cdot 5^{7} \cdot 7 \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$0.149150278$ |
$1$ |
|
$34$ |
$13063680$ |
$2.434566$ |
$105093573726037969/1444738498560$ |
$0.98084$ |
$4.26137$ |
$[1, 0, 0, -1750088, 880329792]$ |
\(y^2+xy=x^3-1750088x+880329792\) |
3.4.0.a.1, 285.8.0.?, 840.8.0.?, 3192.8.0.?, 15960.16.0.? |
$[(592, 6904), (-368, 38584)]$ |