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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
16872.c6	16872e4	16872.c	16872e	$6$	$8$	\( 2^{3} \cdot 3 \cdot 19 \cdot 37 \)	\( - 2^{10} \cdot 3^{4} \cdot 19^{8} \cdot 37 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.160	2B	$11248$	$192$	$1$	$8.064847822$	$1$		$3$	$106496$	$1.887375$	$929843593713212/50899738433877$	$0.98550$	$4.71946$	$[0, 1, 0, 20496, -10919088]$	\(y^2=x^3+x^2+20496x-10919088\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.ba.2.2, 148.24.0.?, 296.96.0.?, $\ldots$	$[(6693/2, 549087/2)]$
33744.e6	33744c3	33744.e	33744c	$6$	$8$	\( 2^{4} \cdot 3 \cdot 19 \cdot 37 \)	\( - 2^{10} \cdot 3^{4} \cdot 19^{8} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.178	2B	$11248$	$192$	$1$	$1$	$1$		$1$	$212992$	$1.887375$	$929843593713212/50899738433877$	$0.98550$	$4.40571$	$[0, -1, 0, 20496, 10919088]$	\(y^2=x^3-x^2+20496x+10919088\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.ba.2.6, 148.24.0.?, 296.96.0.?, $\ldots$	$[ ]$
50616.g6	50616e3	50616.g	50616e	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 19 \cdot 37 \)	\( - 2^{10} \cdot 3^{10} \cdot 19^{8} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.91	2B	$33744$	$192$	$1$	$1$	$1$		$1$	$851968$	$2.436680$	$929843593713212/50899738433877$	$0.98550$	$4.84934$	$[0, 0, 0, 184461, 294999838]$	\(y^2=x^3+184461x+294999838\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.2, 24.48.0-8.ba.2.6, $\ldots$	$[ ]$
101232.ba6	101232d3	101232.ba	101232d	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 37 \)	\( - 2^{10} \cdot 3^{10} \cdot 19^{8} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.91	2B	$33744$	$192$	$1$	$44.15939580$	$1$		$1$	$1703936$	$2.436680$	$929843593713212/50899738433877$	$0.98550$	$4.55769$	$[0, 0, 0, 184461, -294999838]$	\(y^2=x^3+184461x-294999838\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 24.48.0-8.ba.2.5, $\ldots$	$[(45141732591474661009/13783510, 303296948168517758863253684223/13783510)]$
134976.p6	134976bo3	134976.p	134976bo	$6$	$8$	\( 2^{6} \cdot 3 \cdot 19 \cdot 37 \)	\( - 2^{16} \cdot 3^{4} \cdot 19^{8} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.228	2B	$11248$	$192$	$1$	$27.77209511$	$1$		$1$	$1703936$	$2.233948$	$929843593713212/50899738433877$	$0.98550$	$4.24075$	$[0, -1, 0, 81983, -87434687]$	\(y^2=x^3-x^2+81983x-87434687\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.2.5, 148.12.0.?, 296.96.0.?, $\ldots$	$[(1242780461187/56033, 461388612524798980/56033)]$
134976.bo6	134976k4	134976.bo	134976k	$6$	$8$	\( 2^{6} \cdot 3 \cdot 19 \cdot 37 \)	\( - 2^{16} \cdot 3^{4} \cdot 19^{8} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.212	2B	$11248$	$192$	$1$	$1$	$1$		$1$	$1703936$	$2.233948$	$929843593713212/50899738433877$	$0.98550$	$4.24075$	$[0, 1, 0, 81983, 87434687]$	\(y^2=x^3+x^2+81983x+87434687\)	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.2.1, 148.12.0.?, 296.96.0.?, $\ldots$	$[ ]$
320568.e6	320568e4	320568.e	320568e	$6$	$8$	\( 2^{3} \cdot 3 \cdot 19^{2} \cdot 37 \)	\( - 2^{10} \cdot 3^{4} \cdot 19^{14} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.140	2B	$11248$	$192$	$1$	$1$	$9$	$3$	$1$	$38338560$	$3.359596$	$929843593713212/50899738433877$	$0.98550$	$5.01687$	$[0, -1, 0, 7398936, 74938418460]$	\(y^2=x^3-x^2+7398936x+74938418460\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0-8.ba.2.3, 76.12.0.?, $\ldots$	$[ ]$
404928.bb6	404928bb3	404928.bb	404928bb	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 37 \)	\( - 2^{16} \cdot 3^{10} \cdot 19^{8} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.91	2B	$33744$	$192$	$1$	$1$	$1$		$1$	$13631488$	$2.783253$	$929843593713212/50899738433877$	$0.98550$	$4.39044$	$[0, 0, 0, 737844, -2359998704]$	\(y^2=x^3+737844x-2359998704\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 24.48.0-8.ba.2.2, 148.12.0.?, $\ldots$	$[ ]$
404928.bc6	404928bc4	404928.bc	404928bc	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 37 \)	\( - 2^{16} \cdot 3^{10} \cdot 19^{8} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.91	2B	$33744$	$192$	$1$	$1$	$4$	$2$	$1$	$13631488$	$2.783253$	$929843593713212/50899738433877$	$0.98550$	$4.39044$	$[0, 0, 0, 737844, 2359998704]$	\(y^2=x^3+737844x+2359998704\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 24.48.0-8.ba.2.1, 148.12.0.?, $\ldots$	$[ ]$
421800.r6	421800r3	421800.r	421800r	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 19 \cdot 37 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 19^{8} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.91	2B	$56240$	$192$	$1$	$1$	$1$		$1$	$13631488$	$2.692093$	$929843593713212/50899738433877$	$0.98550$	$4.29214$	$[0, -1, 0, 512392, -1365910788]$	\(y^2=x^3-x^2+512392x-1365910788\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 20.12.0-4.c.1.2, 40.48.0-8.ba.2.3, $\ldots$	$[ ]$

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