Elliptic curve search results

Results (8 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
85176.x2	85176g1	85176.x	85176g	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 7 \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2184$	$12$	$0$	$1$	$1$		$1$	$339456$	$1.630123$	$13500/7$	$0.70865$	$3.77207$	$1$	$[0, 0, 0, -32955, -742586]$	\(y^2=x^3-32955x-742586\)	2.3.0.a.1, 56.6.0.e.1, 312.6.0.?, 546.6.0.?, 2184.12.0.?	$[ ]$	$1$
85176.bd2	85176bl1	85176.bd	85176bl	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{9} \cdot 7 \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2184$	$12$	$0$	$14.77673339$	$1$		$1$	$1018368$	$2.179428$	$13500/7$	$0.70865$	$4.35270$	$1$	$[0, 0, 0, -296595, 20049822]$	\(y^2=x^3-296595x+20049822\)	2.3.0.a.1, 56.6.0.e.1, 312.6.0.?, 546.6.0.?, 2184.12.0.?	$[(-7113183/134, 20889783225/134)]$	$1$
85176.be2	85176k1	85176.be	85176k	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{9} \cdot 7 \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2184$	$12$	$0$	$3.731923352$	$1$		$1$	$78336$	$0.896955$	$13500/7$	$0.70865$	$2.99708$	$1$	$[0, 0, 0, -1755, 9126]$	\(y^2=x^3-1755x+9126\)	2.3.0.a.1, 56.6.0.e.1, 312.6.0.?, 546.6.0.?, 2184.12.0.?	$[(-87/2, 1539/2)]$	$1$
85176.bi2	85176bp1	85176.bi	85176bp	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 7 \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2184$	$12$	$0$	$1$	$1$		$1$	$26112$	$0.347648$	$13500/7$	$0.70865$	$2.41644$	$1$	$[0, 0, 0, -195, -338]$	\(y^2=x^3-195x-338\)	2.3.0.a.1, 56.6.0.e.1, 312.6.0.?, 546.6.0.?, 2184.12.0.?	$[ ]$	$1$
170352.cp2	170352gf1	170352.cp	170352gf	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 7 \cdot 13^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2184$	$12$	$0$	$2.061707089$	$1$		$15$	$52224$	$0.347648$	$13500/7$	$0.70865$	$2.27739$	$1$	$[0, 0, 0, -195, 338]$	\(y^2=x^3-195x+338\)	2.3.0.a.1, 56.6.0.e.1, 312.6.0.?, 546.6.0.?, 2184.12.0.?	$[(1, 12), (17, 44)]$	$1$
170352.dc2	170352gg1	170352.dc	170352gg	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{9} \cdot 7 \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2184$	$12$	$0$	$1$	$1$		$1$	$156672$	$0.896955$	$13500/7$	$0.70865$	$2.82462$	$1$	$[0, 0, 0, -1755, -9126]$	\(y^2=x^3-1755x-9126\)	2.3.0.a.1, 56.6.0.e.1, 312.6.0.?, 546.6.0.?, 2184.12.0.?	$[ ]$	$1$
170352.di2	170352gb1	170352.di	170352gb	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{9} \cdot 7 \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2184$	$12$	$0$	$8.068602911$	$1$		$1$	$2036736$	$2.179428$	$13500/7$	$0.70865$	$4.10223$	$1$	$[0, 0, 0, -296595, -20049822]$	\(y^2=x^3-296595x-20049822\)	2.3.0.a.1, 56.6.0.e.1, 312.6.0.?, 546.6.0.?, 2184.12.0.?	$[(6673/3, 349588/3)]$	$1$
170352.dy2	170352ge1	170352.dy	170352ge	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{3} \cdot 7 \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2184$	$12$	$0$	$4.630412527$	$1$		$3$	$678912$	$1.630123$	$13500/7$	$0.70865$	$3.55501$	$1$	$[0, 0, 0, -32955, 742586]$	\(y^2=x^3-32955x+742586\)	2.3.0.a.1, 56.6.0.e.1, 312.6.0.?, 546.6.0.?, 2184.12.0.?	$[(22, 168)]$	$1$

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