Elliptic curve search results

Results (6 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
49818.h1	49818r1	49818.h	49818r	$1$	$1$	\( 2 \cdot 3 \cdot 19^{2} \cdot 23 \)	\( 2 \cdot 3^{3} \cdot 19^{2} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$552$	$2$	$0$	$1.070847041$	$1$		$8$	$8640$	$-0.201715$	$5714497/1242$	$0.79299$	$1.98291$	$[1, 0, 1, -27, -44]$	\(y^2+xy+y=x^3-27x-44\)	552.2.0.?	$[(-4, 3), (-2, 2)]$
49818.u1	49818w1	49818.u	49818w	$1$	$1$	\( 2 \cdot 3 \cdot 19^{2} \cdot 23 \)	\( 2 \cdot 3^{3} \cdot 19^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$552$	$2$	$0$	$6.408354871$	$1$		$0$	$164160$	$1.270504$	$5714497/1242$	$0.79299$	$3.61627$	$[1, 1, 1, -9574, 280937]$	\(y^2+xy+y=x^3+x^2-9574x+280937\)	552.2.0.?	$[(535/2, 8979/2)]$
149454.bc1	149454cf1	149454.bc	149454cf	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( 2 \cdot 3^{9} \cdot 19^{8} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$552$	$2$	$0$	$1$	$4$	$2$	$0$	$1313280$	$1.819811$	$5714497/1242$	$0.79299$	$3.83606$	$[1, -1, 0, -86166, -7671470]$	\(y^2+xy=x^3-x^2-86166x-7671470\)	552.2.0.?	$[ ]$
149454.cl1	149454u1	149454.cl	149454u	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( 2 \cdot 3^{9} \cdot 19^{2} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$552$	$2$	$0$	$1$	$1$		$0$	$69120$	$0.347591$	$5714497/1242$	$0.79299$	$2.35331$	$[1, -1, 1, -239, 1181]$	\(y^2+xy+y=x^3-x^2-239x+1181\)	552.2.0.?	$[ ]$
398544.k1	398544k1	398544.k	398544k	$1$	$1$	\( 2^{4} \cdot 3 \cdot 19^{2} \cdot 23 \)	\( 2^{13} \cdot 3^{3} \cdot 19^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$552$	$2$	$0$	$2.330343881$	$1$		$2$	$207360$	$0.491433$	$5714497/1242$	$0.79299$	$2.30817$	$[0, -1, 0, -424, 2800]$	\(y^2=x^3-x^2-424x+2800\)	552.2.0.?	$[(18, 26)]$
398544.bu1	398544bu1	398544.bu	398544bu	$1$	$1$	\( 2^{4} \cdot 3 \cdot 19^{2} \cdot 23 \)	\( 2^{13} \cdot 3^{3} \cdot 19^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$552$	$2$	$0$	$1.173077345$	$1$		$2$	$3939840$	$1.963652$	$5714497/1242$	$0.79299$	$3.67815$	$[0, 1, 0, -153184, -18286348]$	\(y^2=x^3+x^2-153184x-18286348\)	552.2.0.?	$[(-241, 2166)]$

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