Elliptic curves over $\Q$ of conductor 297

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

Results (4 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
297.a1	297a1	297.a	297a	$1$	$1$	\( 3^{3} \cdot 11 \)	\( - 3^{9} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.057892977$	$1$		$10$	$72$	$-0.008549$	$-2985984/121$	$0.94611$	$4.36702$	$1$	$[0, 0, 1, -81, 290]$	\(y^2+y=x^3-81x+290\)	6.2.0.a.1	$[(15, 49)]$	$1$
297.b1	297b1	297.b	297b	$1$	$1$	\( 3^{3} \cdot 11 \)	\( - 3^{3} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.314694499$	$1$		$4$	$12$	$-0.839282$	$9261/11$	$0.82151$	$2.19198$	$1$	$[1, -1, 1, 1, 0]$	\(y^2+xy+y=x^3-x^2+x\)	132.2.0.?	$[(0, 0)]$	$1$
297.c1	297c1	297.c	297c	$1$	$1$	\( 3^{3} \cdot 11 \)	\( - 3^{9} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$132$	$2$	$0$	$0.341302747$	$1$		$4$	$36$	$-0.289976$	$9261/11$	$0.82151$	$3.34969$	$1$	$[1, -1, 0, 12, -19]$	\(y^2+xy=x^3-x^2+12x-19\)	132.2.0.?	$[(4, 7)]$	$1$
297.d1	297d1	297.d	297d	$1$	$1$	\( 3^{3} \cdot 11 \)	\( - 3^{3} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$24$	$-0.557856$	$-2985984/121$	$0.94611$	$3.20931$	$1$	$[0, 0, 1, -9, -11]$	\(y^2+y=x^3-9x-11\)	6.2.0.a.1	$[ ]$	$1$

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