| 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 |
| 1134.a1 |
1134d2 |
1134.a |
1134d |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7 \) |
\( - 2^{3} \cdot 3^{12} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$432$ |
$0.148040$ |
$-185193/56$ |
$0.86004$ |
$3.65861$ |
$[1, -1, 0, -96, -424]$ |
\(y^2+xy=x^3-x^2-96x-424\) |
3.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 1134.a2 |
1134d1 |
1134.a |
1134d |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7 \) |
\( - 2 \cdot 3^{4} \cdot 7^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$144$ |
$-0.401266$ |
$934407/686$ |
$0.92779$ |
$2.57938$ |
$[1, -1, 0, 9, 3]$ |
\(y^2+xy=x^3-x^2+9x+3\) |
3.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 1134.b1 |
1134a1 |
1134.b |
1134a |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 7 \) |
\( - 2^{4} \cdot 3^{4} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$56$ |
$4$ |
$0$ |
$0.139040891$ |
$1$ |
|
$8$ |
$192$ |
$-0.007757$ |
$-15590912409/784$ |
$0.99105$ |
$3.96168$ |
$[1, -1, 0, -225, 1357]$ |
\(y^2+xy=x^3-x^2-225x+1357\) |
4.2.0.a.1, 56.4.0-4.a.1.1 |
$[(6, 11)]$ |
| 1134.c1 |
1134b1 |
1134.c |
1134b |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 7 \) |
\( - 2^{7} \cdot 3^{4} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.706130342$ |
$1$ |
|
$4$ |
$168$ |
$-0.223430$ |
$934407/6272$ |
$0.96273$ |
$2.91503$ |
$[1, -1, 0, 9, -35]$ |
\(y^2+xy=x^3-x^2+9x-35\) |
8.2.0.a.1 |
$[(3, 2)]$ |
| 1134.d1 |
1134c2 |
1134.d |
1134c |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7 \) |
\( - 2^{12} \cdot 3^{12} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.8.0.2 |
3B.1.2 |
$168$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$0.802358$ |
$-60698457/200704$ |
$1.01233$ |
$4.69310$ |
$[1, -1, 0, -663, -16867]$ |
\(y^2+xy=x^3-x^2-663x-16867\) |
3.8.0-3.a.1.1, 4.2.0.a.1, 12.16.0-12.a.1.5, 56.4.0-4.a.1.1, 168.32.0.? |
$[]$ |
| 1134.d2 |
1134c1 |
1134.d |
1134c |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7 \) |
\( - 2^{4} \cdot 3^{4} \cdot 7^{6} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.8.0.1 |
3B.1.1 |
$168$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$576$ |
$0.253052$ |
$505636983/1882384$ |
$1.01293$ |
$3.71483$ |
$[1, -1, 0, 72, 528]$ |
\(y^2+xy=x^3-x^2+72x+528\) |
3.8.0-3.a.1.2, 4.2.0.a.1, 12.16.0-12.a.1.6, 56.4.0-4.a.1.1, 168.32.0.? |
$[]$ |
| 1134.e1 |
1134f1 |
1134.e |
1134f |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{2} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.8.0.1 |
3B.1.1 |
$168$ |
$32$ |
$0$ |
$0.246068540$ |
$1$ |
|
$18$ |
$576$ |
$0.253052$ |
$-60698457/200704$ |
$1.01233$ |
$3.75592$ |
$[1, -1, 1, -74, 649]$ |
\(y^2+xy+y=x^3-x^2-74x+649\) |
3.8.0-3.a.1.2, 4.2.0.a.1, 12.16.0-12.a.1.6, 168.32.0.? |
$[(7, 17)]$ |
| 1134.e2 |
1134f2 |
1134.e |
1134f |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7 \) |
\( - 2^{4} \cdot 3^{10} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.8.0.2 |
3B.1.2 |
$168$ |
$32$ |
$0$ |
$0.082022846$ |
$1$ |
|
$12$ |
$1728$ |
$0.802358$ |
$505636983/1882384$ |
$1.01293$ |
$4.65201$ |
$[1, -1, 1, 646, -14903]$ |
\(y^2+xy+y=x^3-x^2+646x-14903\) |
3.8.0-3.a.1.1, 4.2.0.a.1, 12.16.0-12.a.1.5, 168.32.0.? |
$[(19, 53)]$ |
| 1134.f1 |
1134g1 |
1134.f |
1134g |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 7 \) |
\( - 2^{7} \cdot 3^{10} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.062048162$ |
$1$ |
|
$12$ |
$504$ |
$0.325876$ |
$934407/6272$ |
$0.96273$ |
$3.85221$ |
$[1, -1, 1, 79, 865]$ |
\(y^2+xy+y=x^3-x^2+79x+865\) |
8.2.0.a.1 |
$[(13, 56)]$ |
| 1134.g1 |
1134e1 |
1134.g |
1134e |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 7 \) |
\( - 2^{4} \cdot 3^{10} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$168$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$0.541549$ |
$-15590912409/784$ |
$0.99105$ |
$4.89886$ |
$[1, -1, 1, -2027, -34613]$ |
\(y^2+xy+y=x^3-x^2-2027x-34613\) |
4.2.0.a.1, 168.4.0.? |
$[]$ |
| 1134.h1 |
1134h1 |
1134.h |
1134h |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7 \) |
\( - 2^{3} \cdot 3^{6} \cdot 7 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$144$ |
$-0.401266$ |
$-185193/56$ |
$0.86004$ |
$2.72143$ |
$[1, -1, 1, -11, 19]$ |
\(y^2+xy+y=x^3-x^2-11x+19\) |
3.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 1134.h2 |
1134h2 |
1134.h |
1134h |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7 \) |
\( - 2 \cdot 3^{10} \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$432$ |
$0.148040$ |
$934407/686$ |
$0.92779$ |
$3.51657$ |
$[1, -1, 1, 79, -161]$ |
\(y^2+xy+y=x^3-x^2+79x-161\) |
3.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[]$ |
