Elliptic curves over $\Q$ of conductor 11642

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
11642.a1	11642a1	11642.a	11642a	$1$	$1$	\( 2 \cdot 5821 \)	\( 2^{2} \cdot 5821 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$11642$	$2$	$0$	$0.421965530$	$1$		$38$	$4624$	$-0.403039$	$469097433/23284$	$0.73567$	$2.13261$	$[1, -1, 0, -16, 28]$	\(y^2+xy=x^3-x^2-16x+28\)	11642.2.0.?	$[(2, 0), (3, -1), (4, 2)]$
11642.b1	11642b1	11642.b	11642b	$1$	$1$	\( 2 \cdot 5821 \)	\( 2^{22} \cdot 5821 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$11642$	$2$	$0$	$0.268930113$	$1$		$18$	$12848$	$0.697171$	$77183625154033/24415043584$	$0.87100$	$3.41550$	$[1, 1, 1, -887, 6477]$	\(y^2+xy+y=x^3+x^2-887x+6477\)	11642.2.0.?	$[(-21, 138), (27, 42)]$