| 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 |
| 50008.i2 |
50008e1 |
50008.i |
50008e |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 19 \cdot 47 \) |
\( - 2^{4} \cdot 7^{2} \cdot 19 \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$292032$ |
$1.758978$ |
$-98260901558505084928/10035449471299$ |
$0.94584$ |
$4.51083$ |
$[0, -1, 0, -242247, 45976760]$ |
\(y^2=x^3-x^2-242247x+45976760\) |
2.3.0.a.1, 38.6.0.b.1, 1316.6.0.?, 25004.12.0.? |
$[]$ |
| 100016.b2 |
100016e1 |
100016.b |
100016e |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 19 \cdot 47 \) |
\( - 2^{4} \cdot 7^{2} \cdot 19 \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$584064$ |
$1.758978$ |
$-98260901558505084928/10035449471299$ |
$0.94584$ |
$4.23926$ |
$[0, 1, 0, -242247, -45976760]$ |
\(y^2=x^3+x^2-242247x-45976760\) |
2.3.0.a.1, 38.6.0.b.1, 1316.6.0.?, 25004.12.0.? |
$[]$ |
| 350056.b2 |
350056b1 |
350056.b |
350056b |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 19 \cdot 47 \) |
\( - 2^{4} \cdot 7^{8} \cdot 19 \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$19.70265233$ |
$1$ |
|
$1$ |
$14017536$ |
$2.731934$ |
$-98260901558505084928/10035449471299$ |
$0.94584$ |
$4.73783$ |
$[0, 1, 0, -11870119, -15746288454]$ |
\(y^2=x^3+x^2-11870119x-15746288454\) |
2.3.0.a.1, 38.6.0.b.1, 1316.6.0.?, 25004.12.0.? |
$[(9292654939/271, 895465157327125/271)]$ |
| 400064.d2 |
400064d1 |
400064.d |
400064d |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \) |
\( - 2^{10} \cdot 7^{2} \cdot 19 \cdot 47^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$4.066627575$ |
$1$ |
|
$5$ |
$4672512$ |
$2.105553$ |
$-98260901558505084928/10035449471299$ |
$0.94584$ |
$4.10607$ |
$[0, 1, 0, -968989, 366845091]$ |
\(y^2=x^3+x^2-968989x+366845091\) |
2.3.0.a.1, 38.6.0.b.1, 1316.6.0.?, 25004.12.0.? |
$[(555, 564), (8457/4, 103635/4)]$ |
| 400064.br2 |
400064br1 |
400064.br |
400064br |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \) |
\( - 2^{10} \cdot 7^{2} \cdot 19 \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$1$ |
$25$ |
$5$ |
$1$ |
$4672512$ |
$2.105553$ |
$-98260901558505084928/10035449471299$ |
$0.94584$ |
$4.10607$ |
$[0, -1, 0, -968989, -366845091]$ |
\(y^2=x^3-x^2-968989x-366845091\) |
2.3.0.a.1, 38.6.0.b.1, 1316.6.0.?, 25004.12.0.? |
$[]$ |
| 450072.d2 |
450072d1 |
450072.d |
450072d |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 47 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 19 \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$22.75581429$ |
$1$ |
|
$1$ |
$7008768$ |
$2.308285$ |
$-98260901558505084928/10035449471299$ |
$0.94584$ |
$4.25581$ |
$[0, 0, 0, -2180226, -1239192295]$ |
\(y^2=x^3-2180226x-1239192295\) |
2.3.0.a.1, 38.6.0.b.1, 1316.6.0.?, 25004.12.0.? |
$[(19102940672/3331, 388494805918471/3331)]$ |
