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 |
46410.j3 |
46410g3 |
46410.j |
46410g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3^{12} \cdot 5^{2} \cdot 7^{4} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$37128$ |
$48$ |
$0$ |
$2.042988039$ |
$1$ |
|
$4$ |
$737280$ |
$2.060574$ |
$-900804278922017287609/277087063526418600$ |
$0.95133$ |
$4.53000$ |
$[1, 1, 0, -201203, -43073547]$ |
\(y^2+xy=x^3+x^2-201203x-43073547\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$ |
$[(739, 14208)]$ |
139230.eh3 |
139230f4 |
139230.eh |
139230f |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3^{18} \cdot 5^{2} \cdot 7^{4} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$1.659479705$ |
$1$ |
|
$6$ |
$5898240$ |
$2.609879$ |
$-900804278922017287609/277087063526418600$ |
$0.95133$ |
$4.66636$ |
$[1, -1, 1, -1810832, 1161174939]$ |
\(y^2+xy+y=x^3-x^2-1810832x+1161174939\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 104.12.0.?, 156.12.0.?, $\ldots$ |
$[(47, 32781)]$ |
232050.gj3 |
232050gj3 |
232050.gj |
232050gj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3^{12} \cdot 5^{8} \cdot 7^{4} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17694720$ |
$2.865292$ |
$-900804278922017287609/277087063526418600$ |
$0.95133$ |
$4.72150$ |
$[1, 0, 0, -5030088, -5374133208]$ |
\(y^2+xy=x^3-5030088x-5374133208\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 104.12.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
324870.cu3 |
324870cu4 |
324870.cu |
324870cu |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3^{12} \cdot 5^{2} \cdot 7^{10} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$1.414302841$ |
$1$ |
|
$6$ |
$35389440$ |
$3.033527$ |
$-900804278922017287609/277087063526418600$ |
$0.95133$ |
$4.75539$ |
$[1, 0, 1, -9858973, 14744649728]$ |
\(y^2+xy+y=x^3-9858973x+14744649728\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 104.12.0.?, 364.12.0.?, $\ldots$ |
$[(1684, 53180)]$ |
371280.dl3 |
371280dl4 |
371280.dl |
371280dl |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{2} \cdot 7^{4} \cdot 13 \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$37128$ |
$48$ |
$0$ |
$0.626743433$ |
$1$ |
|
$31$ |
$17694720$ |
$2.753719$ |
$-900804278922017287609/277087063526418600$ |
$0.95133$ |
$4.44407$ |
$[0, 1, 0, -3219256, 2750268500]$ |
\(y^2=x^3+x^2-3219256x+2750268500\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$ |
$[(374, 39984), (-748, 68850)]$ |