Elliptic curves over $\Q$ of conductor 406486

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

Results (5 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
406486.a1	406486a1	406486.a	406486a	$1$	$1$	\( 2 \cdot 19^{2} \cdot 563 \)	\( - 2^{5} \cdot 19^{7} \cdot 563^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$3715200$	$1.753542$	$-126884390625/192717152$	$0.87205$	$3.44714$	$1$	$[1, -1, 0, -37792, 5393120]$	\(y^2+xy=x^3-x^2-37792x+5393120\)	152.2.0.?	$[ ]$	$1$
406486.b1	406486b1	406486.b	406486b	$1$	$1$	\( 2 \cdot 19^{2} \cdot 563 \)	\( - 2^{11} \cdot 19^{7} \cdot 563 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$85576$	$2$	$0$	$1.227890095$	$1$		$2$	$2090880$	$1.660954$	$-776911912057/21907456$	$0.80882$	$3.49142$	$1$	$[1, 0, 0, -69139, -7171551]$	\(y^2+xy=x^3-69139x-7171551\)	85576.2.0.?	$[(638, 14121)]$	$1$
406486.c1	406486c1	406486.c	406486c	$2$	$2$	\( 2 \cdot 19^{2} \cdot 563 \)	\( 2^{10} \cdot 19^{7} \cdot 563 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$85576$	$12$	$0$	$1$	$1$		$1$	$2066400$	$1.639996$	$1056533081625/10953728$	$0.82018$	$3.51154$	$1$	$[1, -1, 1, -76600, -8067397]$	\(y^2+xy+y=x^3-x^2-76600x-8067397\)	2.3.0.a.1, 8.6.0.d.1, 21394.6.0.?, 85576.12.0.?	$[ ]$	$1$
406486.c2	406486c2	406486.c	406486c	$2$	$2$	\( 2 \cdot 19^{2} \cdot 563 \)	\( - 2^{5} \cdot 19^{8} \cdot 563^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$85576$	$12$	$0$	$1$	$1$		$0$	$4132800$	$1.986570$	$-15718937625/3661625888$	$0.93038$	$3.65032$	$1$	$[1, -1, 1, -18840, -19989061]$	\(y^2+xy+y=x^3-x^2-18840x-19989061\)	2.3.0.a.1, 8.6.0.a.1, 42788.6.0.?, 85576.12.0.?	$[ ]$	$1$
406486.d1	406486d1	406486.d	406486d	$1$	$1$	\( 2 \cdot 19^{2} \cdot 563 \)	\( - 2^{4} \cdot 19^{6} \cdot 563 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1126$	$2$	$0$	$10.50201437$	$1$		$0$	$1188000$	$0.911784$	$658503/9008$	$0.80611$	$2.64678$	$1$	$[1, -1, 1, 654, -30815]$	\(y^2+xy+y=x^3-x^2+654x-30815\)	1126.2.0.?	$[(29611/18, 4901329/18)]$	$1$

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