Elliptic curve search results

Results (12 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
91260.e2	91260e1	91260.e	91260e	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$156$	$16$	$0$	$1$	$1$		$0$	$62208$	$0.658919$	$27591408/15625$	$0.97816$	$2.72329$	$1$	$[0, 0, 0, -663, -962]$	\(y^2=x^3-663x-962\)	3.4.0.a.1, 12.8.0.b.1, 39.8.0-3.a.1.1, 156.16.0.?	$[ ]$	$1$
91260.l1	91260q2	91260.l	91260q	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$12$	$16$	$0$	$2.408548841$	$1$		$2$	$2426112$	$2.490700$	$27591408/15625$	$0.97816$	$4.64785$	$1$	$[0, 0, 0, -1008423, 57064878]$	\(y^2=x^3-1008423x+57064878\)	3.8.0-3.a.1.1, 12.16.0-12.b.1.2	$[(-1014, 6084)]$	$1$
91260.r1	91260ba2	91260.r	91260ba	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$156$	$16$	$0$	$0.339503821$	$1$		$20$	$186624$	$1.208225$	$27591408/15625$	$0.97816$	$3.30042$	$1$	$[0, 0, 0, -5967, 25974]$	\(y^2=x^3-5967x+25974\)	3.4.0.a.1, 12.8.0.b.1, 39.8.0-3.a.1.2, 156.16.0.?	$[(183, 2250), (3, 90)]$	$1$
91260.ba2	91260j1	91260.ba	91260j	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 13^{8} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$12$	$16$	$0$	$4.972179933$	$1$		$4$	$808704$	$1.941395$	$27591408/15625$	$0.97816$	$4.07072$	$1$	$[0, 0, 0, -112047, -2113514]$	\(y^2=x^3-112047x-2113514\)	3.8.0-3.a.1.2, 12.16.0-12.b.1.4	$[(402, 4220)]$	$1$
365040.t1	365040t2	365040.t	365040t	$2$	$3$	\( 2^{4} \cdot 3^{3} \cdot 5 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$12$	$16$	$0$	$1$	$1$		$0$	$9704448$	$2.490700$	$27591408/15625$	$0.97816$	$4.14478$	$1$	$[0, 0, 0, -1008423, -57064878]$	\(y^2=x^3-1008423x-57064878\)	3.4.0.a.1, 6.8.0-3.a.1.1, 12.16.0-12.b.1.3	$[ ]$	$1$
365040.dc2	365040dc1	365040.dc	365040dc	$2$	$3$	\( 2^{4} \cdot 3^{3} \cdot 5 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$156$	$16$	$0$	$3.585427566$	$1$		$2$	$248832$	$0.658919$	$27591408/15625$	$0.97816$	$2.42852$	$1$	$[0, 0, 0, -663, 962]$	\(y^2=x^3-663x+962\)	3.4.0.a.1, 12.8.0.b.1, 78.8.0.?, 156.16.0.?	$[(-22, 70)]$	$1$
365040.fh2	365040fh1	365040.fh	365040fh	$2$	$3$	\( 2^{4} \cdot 3^{3} \cdot 5 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 13^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$12$	$16$	$0$	$3.170414974$	$1$		$4$	$3234816$	$1.941395$	$27591408/15625$	$0.97816$	$3.63011$	$1$	$[0, 0, 0, -112047, 2113514]$	\(y^2=x^3-112047x+2113514\)	3.4.0.a.1, 6.8.0-3.a.1.2, 12.16.0-12.b.1.1	$[(338, 1690), (-338/3, 67600/3)]$	$1$
365040.hu1	365040hu2	365040.hu	365040hu	$2$	$3$	\( 2^{4} \cdot 3^{3} \cdot 5 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$156$	$16$	$0$	$3.415604216$	$1$		$2$	$746496$	$1.208225$	$27591408/15625$	$0.97816$	$2.94318$	$1$	$[0, 0, 0, -5967, -25974]$	\(y^2=x^3-5967x-25974\)	3.4.0.a.1, 12.8.0.b.1, 78.8.0.?, 156.16.0.?	$[(82, 190)]$	$1$
456300.be2	456300be1	456300.be	456300be	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{12} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$60$	$16$	$0$	$22.16431460$	$1$		$0$	$19408896$	$2.746113$	$27591408/15625$	$0.97816$	$4.30901$	$1$	$[0, 0, 0, -2801175, -264189250]$	\(y^2=x^3-2801175x-264189250\)	3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.2, 60.16.0-12.b.1.1	$[(19423892030/1471, 2659127484481850/1471)]$	$1$
456300.bj1	456300bj2	456300.bj	456300bj	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{12} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$60$	$16$	$0$	$1$	$4$	$2$	$0$	$58226688$	$3.295418$	$27591408/15625$	$0.97816$	$4.81486$	$1$	$[0, 0, 0, -25210575, 7133109750]$	\(y^2=x^3-25210575x+7133109750\)	3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.1, 60.16.0-12.b.1.3	$[ ]$	$1$
456300.dc1	456300dc2	456300.dc	456300dc	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{12} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$780$	$16$	$0$	$32.88398790$	$1$		$2$	$4478976$	$2.012943$	$27591408/15625$	$0.97816$	$3.63384$	$1$	$[0, 0, 0, -149175, 3246750]$	\(y^2=x^3-149175x+3246750\)	3.4.0.a.1, 12.8.0.b.1, 195.8.0.?, 780.16.0.?	$[(-95/2, 20825/2), (-134, 4564)]$	$1$
456300.dl2	456300dl1	456300.dl	456300dl	$2$	$3$	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{12} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$780$	$16$	$0$	$3.443920677$	$1$		$2$	$1492992$	$1.463638$	$27591408/15625$	$0.97816$	$3.12799$	$1$	$[0, 0, 0, -16575, -120250]$	\(y^2=x^3-16575x-120250\)	3.4.0.a.1, 12.8.0.b.1, 195.8.0.?, 780.16.0.?	$[(335, 5650)]$	$1$

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