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.c2	16872e3	16872.c	16872e	$6$	$8$	\( 2^{3} \cdot 3 \cdot 19 \cdot 37 \)	\( 2^{10} \cdot 3^{4} \cdot 19^{2} \cdot 37^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.31	2Cs	$5624$	$192$	$1$	$8.064847822$	$1$		$3$	$106496$	$1.887375$	$26274189238602645028/54802341801$	$0.97468$	$5.30611$	$[0, 1, 0, -624264, -190053504]$	\(y^2=x^3+x^2-624264x-190053504\)	2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.d.1.2, 152.96.0.?, 296.96.0.?, $\ldots$	$[(77976/5, 20996976/5)]$
33744.e2	33744c4	33744.e	33744c	$6$	$8$	\( 2^{4} \cdot 3 \cdot 19 \cdot 37 \)	\( 2^{10} \cdot 3^{4} \cdot 19^{2} \cdot 37^{4} \)	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.27	2Cs	$5624$	$192$	$1$	$1$	$1$		$7$	$212992$	$1.887375$	$26274189238602645028/54802341801$	$0.97468$	$4.95337$	$[0, -1, 0, -624264, 190053504]$	\(y^2=x^3-x^2-624264x+190053504\)	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.1.10, 152.96.0.?, 296.96.0.?, $\ldots$	$[ ]$
50616.g2	50616e4	50616.g	50616e	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 19 \cdot 37 \)	\( 2^{10} \cdot 3^{10} \cdot 19^{2} \cdot 37^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.15	2Cs	$16872$	$192$	$1$	$1$	$1$		$3$	$851968$	$2.436680$	$26274189238602645028/54802341801$	$0.97468$	$5.37649$	$[0, 0, 0, -5618379, 5125826230]$	\(y^2=x^3-5618379x+5125826230\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 12.24.0-4.b.1.1, 24.48.0-8.d.1.1, $\ldots$	$[ ]$
101232.ba2	101232d4	101232.ba	101232d	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 37 \)	\( 2^{10} \cdot 3^{10} \cdot 19^{2} \cdot 37^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.15	2Cs	$16872$	$192$	$1$	$11.03984895$	$1$		$3$	$1703936$	$2.436680$	$26274189238602645028/54802341801$	$0.97468$	$5.05314$	$[0, 0, 0, -5618379, -5125826230]$	\(y^2=x^3-5618379x-5125826230\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 12.24.0-4.b.1.3, 24.48.0-8.d.1.9, $\ldots$	$[(23760709/5, 115821114948/5)]$
134976.p2	134976bo4	134976.p	134976bo	$6$	$8$	\( 2^{6} \cdot 3 \cdot 19 \cdot 37 \)	\( 2^{16} \cdot 3^{4} \cdot 19^{2} \cdot 37^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.106	2Cs	$5624$	$192$	$1$	$27.77209511$	$1$		$3$	$1703936$	$2.233948$	$26274189238602645028/54802341801$	$0.97468$	$4.72413$	$[0, -1, 0, -2497057, -1517930975]$	\(y^2=x^3-x^2-2497057x-1517930975\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.9, 76.24.0.?, 152.96.0.?, $\ldots$	$[(-14205449042496/124745, 50179428844563767/124745)]$
134976.bo2	134976k3	134976.bo	134976k	$6$	$8$	\( 2^{6} \cdot 3 \cdot 19 \cdot 37 \)	\( 2^{16} \cdot 3^{4} \cdot 19^{2} \cdot 37^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.135	2Cs	$5624$	$192$	$1$	$1$	$4$	$2$	$3$	$1703936$	$2.233948$	$26274189238602645028/54802341801$	$0.97468$	$4.72413$	$[0, 1, 0, -2497057, 1517930975]$	\(y^2=x^3+x^2-2497057x+1517930975\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.1, 76.24.0.?, 152.96.0.?, $\ldots$	$[ ]$
320568.e2	320568e3	320568.e	320568e	$6$	$8$	\( 2^{3} \cdot 3 \cdot 19^{2} \cdot 37 \)	\( 2^{10} \cdot 3^{4} \cdot 19^{8} \cdot 37^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.105	2Cs	$5624$	$192$	$1$	$1$	$9$	$3$	$3$	$38338560$	$3.359596$	$26274189238602645028/54802341801$	$0.97468$	$5.46727$	$[0, -1, 0, -225359424, 1302224827644]$	\(y^2=x^3-x^2-225359424x+1302224827644\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.16, 76.24.0.?, 152.96.0.?, $\ldots$	$[ ]$
404928.bb2	404928bb4	404928.bb	404928bb	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 37 \)	\( 2^{16} \cdot 3^{10} \cdot 19^{2} \cdot 37^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.15	2Cs	$16872$	$192$	$1$	$1$	$4$	$2$	$3$	$13631488$	$2.783253$	$26274189238602645028/54802341801$	$0.97468$	$4.83269$	$[0, 0, 0, -22473516, -41006609840]$	\(y^2=x^3-22473516x-41006609840\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 24.48.0-8.d.1.2, 152.48.0.?, $\ldots$	$[ ]$
404928.bc2	404928bc3	404928.bc	404928bc	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 37 \)	\( 2^{16} \cdot 3^{10} \cdot 19^{2} \cdot 37^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.15	2Cs	$16872$	$192$	$1$	$1$	$1$		$3$	$13631488$	$2.783253$	$26274189238602645028/54802341801$	$0.97468$	$4.83269$	$[0, 0, 0, -22473516, 41006609840]$	\(y^2=x^3-22473516x+41006609840\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 24.48.0-8.d.1.10, 152.48.0.?, $\ldots$	$[ ]$
421800.r2	421800r4	421800.r	421800r	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 19 \cdot 37 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 19^{2} \cdot 37^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.15	2Cs	$28120$	$192$	$1$	$1$	$4$	$2$	$3$	$13631488$	$2.692093$	$26274189238602645028/54802341801$	$0.97468$	$4.73300$	$[0, -1, 0, -15606608, -23725474788]$	\(y^2=x^3-x^2-15606608x-23725474788\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 20.24.0-4.b.1.1, 40.48.0-8.d.1.2, $\ldots$	$[ ]$

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