Elliptic curves over $\Q$ of conductor 13766

Results (displaying both matches)

 

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
13766.a1	13766a1	13766.a	13766a	$1$	$1$	\( 2 \cdot 6883 \)	\( - 2^{4} \cdot 6883 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$13766$	$2$	$0$	$0.554302953$	$1$		$34$	$4896$	$-0.288401$	$-1263214441/110128$	$0.90412$	$2.21378$	$[1, 0, 1, -23, 42]$	\(y^2+xy+y=x^3-23x+42\)	13766.2.0.?	$[(3, 0), (-1, 8), (2, 1)]$
13766.b1	13766b1	13766.b	13766b	$1$	$1$	\( 2 \cdot 6883 \)	\( - 2^{13} \cdot 6883 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$55064$	$2$	$0$	$0.360345399$	$1$		$4$	$5772$	$0.302826$	$-5160676199041/56385536$	$0.83613$	$3.07355$	$[1, 0, 0, -360, 2624]$	\(y^2+xy=x^3-360x+2624\)	55064.2.0.?	$[(16, 24)]$