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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
74454.a1 |
74454a2 |
74454.a |
74454a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 12409 \) |
\( 2^{2} \cdot 3^{3} \cdot 12409^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$148908$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$74496$ |
$0.670377$ |
$64273990065193/16630194348$ |
$[1, 1, 0, -834, 6552]$ |
\(y^2+xy=x^3+x^2-834x+6552\) |
2.3.0.a.1, 12.6.0.a.1, 49636.6.0.?, 148908.12.0.? |
$[]$ |
74454.a2 |
74454a1 |
74454.a |
74454a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 12409 \) |
\( 2^{4} \cdot 3^{6} \cdot 12409 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$148908$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$37248$ |
$0.323803$ |
$2825346869353/144738576$ |
$[1, 1, 0, -294, -1980]$ |
\(y^2+xy=x^3+x^2-294x-1980\) |
2.3.0.a.1, 12.6.0.b.1, 24818.6.0.?, 148908.12.0.? |
$[]$ |
74454.b1 |
74454c1 |
74454.b |
74454c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 12409 \) |
\( - 2^{6} \cdot 3 \cdot 12409 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$74454$ |
$2$ |
$0$ |
$3.067364943$ |
$1$ |
|
$2$ |
$21888$ |
$-0.001871$ |
$-71628489577/2382528$ |
$[1, 0, 1, -87, -326]$ |
\(y^2+xy+y=x^3-87x-326\) |
74454.2.0.? |
$[(16, 41)]$ |
74454.c1 |
74454b1 |
74454.c |
74454b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 12409 \) |
\( 2^{12} \cdot 3^{2} \cdot 12409 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$148908$ |
$12$ |
$0$ |
$4.021624701$ |
$1$ |
|
$1$ |
$32256$ |
$0.351896$ |
$813995635753/457445376$ |
$[1, 0, 1, -195, -194]$ |
\(y^2+xy+y=x^3-195x-194\) |
2.3.0.a.1, 12.6.0.c.1, 24818.6.0.?, 148908.12.0.? |
$[(71/2, 285/2)]$ |
74454.c2 |
74454b2 |
74454.c |
74454b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 12409 \) |
\( - 2^{6} \cdot 3 \cdot 12409^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$148908$ |
$12$ |
$0$ |
$8.043249402$ |
$1$ |
|
$0$ |
$64512$ |
$0.698469$ |
$49604815464407/29564789952$ |
$[1, 0, 1, 765, -1346]$ |
\(y^2+xy+y=x^3+765x-1346\) |
2.3.0.a.1, 6.6.0.a.1, 49636.6.0.?, 148908.12.0.? |
$[(751/10, 65321/10)]$ |
74454.d1 |
74454d1 |
74454.d |
74454d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 12409 \) |
\( - 2^{12} \cdot 3^{11} \cdot 12409 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$74454$ |
$2$ |
$0$ |
$0.171139741$ |
$1$ |
|
$28$ |
$287232$ |
$1.164650$ |
$-1728432036001/9003897335808$ |
$[1, 0, 0, -250, 144356]$ |
\(y^2+xy=x^3-250x+144356\) |
74454.2.0.? |
$[(116, 1238), (-28, 374)]$ |