Elliptic curves over $\Q$ of conductor 664

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (3 matches)

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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	Manin constant
664.a1	664a1	664.a	664a	$1$	$1$	\( 2^{3} \cdot 83 \)	\( - 2^{8} \cdot 83 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$0.096676050$	$1$		$26$	$160$	$-0.466387$	$-148176/83$	$0.66708$	$2.78971$	$[0, 0, 0, -7, 10]$	\(y^2=x^3-7x+10\)	166.2.0.?	$[(1, 2), (3, 4)]$	$1$
664.b1	664c1	664.b	664c	$1$	$1$	\( 2^{3} \cdot 83 \)	\( - 2^{4} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$0.207011953$	$1$		$6$	$16$	$-0.688087$	$-256000/83$	$0.71692$	$2.41146$	$[0, -1, 0, -3, 4]$	\(y^2=x^3-x^2-3x+4\)	166.2.0.?	$[(1, 1)]$	$1$
664.c1	664b1	664.c	664b	$1$	$1$	\( 2^{3} \cdot 83 \)	\( - 2^{4} \cdot 83 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$166$	$2$	$0$	$0.300033953$	$1$		$4$	$16$	$-0.720872$	$2048/83$	$0.76681$	$2.25164$	$[0, 1, 0, 1, 2]$	\(y^2=x^3+x^2+x+2\)	166.2.0.?	$[(-1, 1)]$	$1$

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