| 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 |
| 72450.i2 |
72450c1 |
72450.i |
72450c |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{10} \cdot 7^{3} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4830$ |
$16$ |
$0$ |
$7.097777513$ |
$1$ |
|
$0$ |
$1347840$ |
$2.265369$ |
$13568486147325/17093758976$ |
$0.96103$ |
$4.44942$ |
$[1, -1, 0, 318633, 75024541]$ |
\(y^2+xy=x^3-x^2+318633x+75024541\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 966.8.0.?, 4830.16.0.? |
$[(-5026/5, 222133/5)]$ |
| 72450.cc2 |
72450r2 |
72450.cc |
72450r |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 7^{3} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$966$ |
$16$ |
$0$ |
$2.526793708$ |
$1$ |
|
$2$ |
$808704$ |
$2.009956$ |
$13568486147325/17093758976$ |
$0.96103$ |
$4.17554$ |
$[1, -1, 0, 114708, -16251184]$ |
\(y^2+xy=x^3-x^2+114708x-16251184\) |
3.8.0-3.a.1.1, 966.16.0.? |
$[(1720, 71716)]$ |
| 72450.dk2 |
72450cn2 |
72450.dk |
72450cn |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{10} \cdot 7^{3} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4830$ |
$16$ |
$0$ |
$1.916134771$ |
$1$ |
|
$2$ |
$4043520$ |
$2.814674$ |
$13568486147325/17093758976$ |
$0.96103$ |
$5.03845$ |
$[1, -1, 1, 2867695, -2028530303]$ |
\(y^2+xy+y=x^3-x^2+2867695x-2028530303\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 966.8.0.?, 4830.16.0.? |
$[(823, 29396)]$ |
| 72450.eh2 |
72450dd1 |
72450.eh |
72450dd |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 7^{3} \cdot 23^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$966$ |
$16$ |
$0$ |
$0.342902612$ |
$1$ |
|
$18$ |
$269568$ |
$1.460649$ |
$13568486147325/17093758976$ |
$0.96103$ |
$3.58650$ |
$[1, -1, 1, 12745, 597647]$ |
\(y^2+xy+y=x^3-x^2+12745x+597647\) |
3.8.0-3.a.1.2, 966.16.0.? |
$[(99, 1630)]$ |
