| 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 |
| 141.a1 |
141a1 |
141.a |
141a |
$1$ |
$1$ |
\( 3 \cdot 47 \) |
\( 3^{7} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$282$ |
$2$ |
$0$ |
$0.034486775$ |
$1$ |
|
$14$ |
$28$ |
$-0.345264$ |
$207474688/102789$ |
$0.95008$ |
$3.86976$ |
$[0, 1, 1, -12, 2]$ |
\(y^2+y=x^3+x^2-12x+2\) |
282.2.0.? |
$[(-3, 4)]$ |
| 141.b1 |
141b2 |
141.b |
141b |
$2$ |
$2$ |
\( 3 \cdot 47 \) |
\( 3^{3} \cdot 47^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24$ |
$-0.081025$ |
$323535264625/59643$ |
$0.95583$ |
$5.35540$ |
$[1, 1, 1, -143, -718]$ |
\(y^2+xy+y=x^3+x^2-143x-718\) |
2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.? |
$[]$ |
| 141.b2 |
141b1 |
141.b |
141b |
$2$ |
$2$ |
\( 3 \cdot 47 \) |
\( - 3^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12$ |
$-0.427598$ |
$-57066625/34263$ |
$0.88940$ |
$3.75275$ |
$[1, 1, 1, -8, -16]$ |
\(y^2+xy+y=x^3+x^2-8x-16\) |
2.3.0.a.1, 12.6.0.b.1, 94.6.0.?, 564.12.0.? |
$[]$ |
| 141.c1 |
141c4 |
141.c |
141c |
$4$ |
$4$ |
\( 3 \cdot 47 \) |
\( 3 \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$1128$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24$ |
$0.065356$ |
$47034153084673/141$ |
$0.98761$ |
$6.36157$ |
$[1, 0, 0, -752, 7875]$ |
\(y^2+xy=x^3-752x+7875\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$ |
$[]$ |
| 141.c2 |
141c3 |
141.c |
141c |
$4$ |
$4$ |
\( 3 \cdot 47 \) |
\( 3 \cdot 47^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$1128$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24$ |
$0.065356$ |
$26383748833/14639043$ |
$1.08588$ |
$4.84889$ |
$[1, 0, 0, -62, 33]$ |
\(y^2+xy=x^3-62x+33\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 376.24.0.?, 1128.48.0.? |
$[]$ |
| 141.c3 |
141c2 |
141.c |
141c |
$4$ |
$4$ |
\( 3 \cdot 47 \) |
\( 3^{2} \cdot 47^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$564$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$12$ |
$-0.281218$ |
$11497268593/19881$ |
$1.00723$ |
$4.68105$ |
$[1, 0, 0, -47, 120]$ |
\(y^2+xy=x^3-47x+120\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 188.24.0.?, 564.48.0.? |
$[]$ |
| 141.c4 |
141c1 |
141.c |
141c |
$4$ |
$4$ |
\( 3 \cdot 47 \) |
\( - 3^{4} \cdot 47 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$1128$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$6$ |
$-0.627791$ |
$-912673/3807$ |
$0.87304$ |
$3.19863$ |
$[1, 0, 0, -2, 3]$ |
\(y^2+xy=x^3-2x+3\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 94.6.0.?, 188.24.0.?, $\ldots$ |
$[]$ |
| 141.d1 |
141d1 |
141.d |
141d |
$1$ |
$1$ |
\( 3 \cdot 47 \) |
\( 3 \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$282$ |
$2$ |
$0$ |
$0.198495236$ |
$1$ |
|
$4$ |
$4$ |
$-0.896471$ |
$262144/141$ |
$0.98143$ |
$2.52117$ |
$[0, -1, 1, -1, 0]$ |
\(y^2+y=x^3-x^2-x\) |
282.2.0.? |
$[(0, 0)]$ |
| 141.e1 |
141e1 |
141.e |
141e |
$1$ |
$1$ |
\( 3 \cdot 47 \) |
\( 3 \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12$ |
$-0.534426$ |
$2019487744/141$ |
$0.92611$ |
$4.32959$ |
$[0, 1, 1, -26, -61]$ |
\(y^2+y=x^3+x^2-26x-61\) |
282.2.0.? |
$[]$ |
