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 |
46970.o3 |
46970p3 |
46970.o |
46970p |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 61 \) |
\( - 2^{7} \cdot 5 \cdot 7 \cdot 11^{16} \cdot 61 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$17080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4444160$ |
$2.925541$ |
$-3010886403566634803117601/12557142177117000158080$ |
$1.01449$ |
$5.43533$ |
$[1, -1, 1, -3008317, -5752578939]$ |
\(y^2+xy+y=x^3-x^2-3008317x-5752578939\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.y.1.5, 1220.12.0.?, $\ldots$ |
$[]$ |
234850.p3 |
234850p3 |
234850.p |
234850p |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 61 \) |
\( - 2^{7} \cdot 5^{7} \cdot 7 \cdot 11^{16} \cdot 61 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17080$ |
$48$ |
$0$ |
$8.424246388$ |
$1$ |
|
$2$ |
$106659840$ |
$3.730259$ |
$-3010886403566634803117601/12557142177117000158080$ |
$1.01449$ |
$5.50881$ |
$[1, -1, 0, -75207917, -719147575259]$ |
\(y^2+xy=x^3-x^2-75207917x-719147575259\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 56.12.0.y.1, 244.12.0.?, $\ldots$ |
$[(16249, 1524463)]$ |
328790.bi3 |
328790bi4 |
328790.bi |
328790bi |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 61 \) |
\( - 2^{7} \cdot 5 \cdot 7^{7} \cdot 11^{16} \cdot 61 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$17080$ |
$48$ |
$0$ |
$8.447537067$ |
$1$ |
|
$6$ |
$213319680$ |
$3.898495$ |
$-3010886403566634803117601/12557142177117000158080$ |
$1.01449$ |
$5.52182$ |
$[1, -1, 1, -147407518, 1973429391021]$ |
\(y^2+xy+y=x^3-x^2-147407518x+1973429391021\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.y.1.6, 2440.24.0.?, $\ldots$ |
$[(16573, 2012171), (103693, 33138695)]$ |
375760.q3 |
375760q4 |
375760.q |
375760q |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 61 \) |
\( - 2^{19} \cdot 5 \cdot 7 \cdot 11^{16} \cdot 61 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$17080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$106659840$ |
$3.618687$ |
$-3010886403566634803117601/12557142177117000158080$ |
$1.01449$ |
$5.20281$ |
$[0, 0, 0, -48133067, 368213185146]$ |
\(y^2=x^3-48133067x+368213185146\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.y.1.13, 1220.12.0.?, $\ldots$ |
$[]$ |
422730.s3 |
422730s4 |
422730.s |
422730s |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 61 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5 \cdot 7 \cdot 11^{16} \cdot 61 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$51240$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$142213120$ |
$3.474846$ |
$-3010886403566634803117601/12557142177117000158080$ |
$1.01449$ |
$5.02227$ |
$[1, -1, 0, -27074850, 155346706196]$ |
\(y^2+xy=x^3-x^2-27074850x+155346706196\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.y.1, 168.24.0.?, $\ldots$ |
$[]$ |