Elliptic curve search results

Results (10 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
8490.c1	8490d1	8490.c	8490d	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 283 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 283 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$566$	$2$	$0$	$0.105555837$	$1$		$26$	$2432$	$0.004762$	$-8502154921/6367500$	$0.83093$	$2.61909$	$1$	$[1, 1, 0, -42, 144]$	\(y^2+xy=x^3+x^2-42x+144\)	566.2.0.?	$[(3, 6), (18, 66)]$	$1$
25470.k1	25470o1	25470.k	25470o	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 283 \)	\( - 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 283 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$566$	$2$	$0$	$1.618538540$	$1$		$2$	$19456$	$0.554068$	$-8502154921/6367500$	$0.83093$	$2.98520$	$1$	$[1, -1, 1, -383, -4269]$	\(y^2+xy+y=x^3-x^2-383x-4269\)	566.2.0.?	$[(95, 852)]$	$1$
42450.bf1	42450bc1	42450.bf	42450bc	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 283 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 283 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$566$	$2$	$0$	$1$	$1$		$0$	$58368$	$0.809481$	$-8502154921/6367500$	$0.83093$	$3.12972$	$1$	$[1, 0, 0, -1063, 20117]$	\(y^2+xy=x^3-1063x+20117\)	566.2.0.?	$[ ]$	$1$
67920.v1	67920v1	67920.v	67920v	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 283 \)	\( - 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 283 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$566$	$2$	$0$	$0.652000601$	$1$		$6$	$58368$	$0.697908$	$-8502154921/6367500$	$0.83093$	$2.87718$	$1$	$[0, 1, 0, -680, -10572]$	\(y^2=x^3+x^2-680x-10572\)	566.2.0.?	$[(46, 240)]$	$1$
127350.y1	127350t1	127350.y	127350t	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 283 \)	\( - 2^{2} \cdot 3^{8} \cdot 5^{10} \cdot 283 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$566$	$2$	$0$	$3.548345219$	$1$		$2$	$466944$	$1.358788$	$-8502154921/6367500$	$0.83093$	$3.39798$	$1$	$[1, -1, 0, -9567, -543159]$	\(y^2+xy=x^3-x^2-9567x-543159\)	566.2.0.?	$[(184, 1883)]$	$1$
203760.v1	203760u1	203760.v	203760u	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 283 \)	\( - 2^{14} \cdot 3^{8} \cdot 5^{4} \cdot 283 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$566$	$2$	$0$	$1.370739032$	$1$		$12$	$466944$	$1.247215$	$-8502154921/6367500$	$0.83093$	$3.15782$	$1$	$[0, 0, 0, -6123, 279322]$	\(y^2=x^3-6123x+279322\)	566.2.0.?	$[(21, 400), (71, 450)]$	$1$
271680.l1	271680l1	271680.l	271680l	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 283 \)	\( - 2^{20} \cdot 3^{2} \cdot 5^{4} \cdot 283 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$566$	$2$	$0$	$1$	$1$		$0$	$466944$	$1.044483$	$-8502154921/6367500$	$0.83093$	$2.89078$	$1$	$[0, -1, 0, -2721, -81855]$	\(y^2=x^3-x^2-2721x-81855\)	566.2.0.?	$[ ]$	$1$
271680.bd1	271680bd1	271680.bd	271680bd	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 283 \)	\( - 2^{20} \cdot 3^{2} \cdot 5^{4} \cdot 283 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$566$	$2$	$0$	$1.357578966$	$1$		$2$	$466944$	$1.044483$	$-8502154921/6367500$	$0.83093$	$2.89078$	$1$	$[0, 1, 0, -2721, 81855]$	\(y^2=x^3+x^2-2721x+81855\)	566.2.0.?	$[(-3, 300)]$	$1$
339600.f1	339600f1	339600.f	339600f	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 283 \)	\( - 2^{14} \cdot 3^{2} \cdot 5^{10} \cdot 283 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$566$	$2$	$0$	$1$	$1$		$0$	$1400832$	$1.502628$	$-8502154921/6367500$	$0.83093$	$3.27182$	$1$	$[0, -1, 0, -17008, -1287488]$	\(y^2=x^3-x^2-17008x-1287488\)	566.2.0.?	$[ ]$	$1$
416010.u1	416010u1	416010.u	416010u	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 283 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{6} \cdot 283 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$566$	$2$	$0$	$1$	$1$		$0$	$802560$	$0.977716$	$-8502154921/6367500$	$0.83093$	$2.73366$	$1$	$[1, 0, 1, -2084, -55618]$	\(y^2+xy+y=x^3-2084x-55618\)	566.2.0.?	$[ ]$	$1$

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