Elliptic curves over $\Q$ of conductor 8004

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
8004.a1	8004b1	8004.a	8004b	$1$	$1$	\( 2^{2} \cdot 3 \cdot 23 \cdot 29 \)	\( - 2^{4} \cdot 3 \cdot 23^{2} \cdot 29^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$174$	$2$	$0$	$0.138534872$	$1$		$6$	$3600$	$0.373109$	$31427449088/38705343$	$0.84525$	$3.01124$	$[0, -1, 0, 166, -927]$	\(y^2=x^3-x^2+166x-927\)	174.2.0.?	$[(76, 667)]$	$1$
8004.b1	8004a1	8004.b	8004a	$1$	$1$	\( 2^{2} \cdot 3 \cdot 23 \cdot 29 \)	\( - 2^{8} \cdot 3^{2} \cdot 23 \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1334$	$2$	$0$	$1$	$1$		$0$	$1536$	$-0.045999$	$-143982592/6003$	$0.80714$	$2.71482$	$[0, -1, 0, -69, -207]$	\(y^2=x^3-x^2-69x-207\)	1334.2.0.?	$[ ]$	$1$
8004.c1	8004c1	8004.c	8004c	$1$	$1$	\( 2^{2} \cdot 3 \cdot 23 \cdot 29 \)	\( - 2^{4} \cdot 3^{9} \cdot 23^{2} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$174$	$2$	$0$	$0.071874364$	$1$		$10$	$8208$	$0.908785$	$-4117777414120192/301956903$	$0.92621$	$4.30887$	$[0, 1, 0, -8414, 294297]$	\(y^2=x^3+x^2-8414x+294297\)	174.2.0.?	$[(58, 69)]$	$1$

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