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.c4	16872e2	16872.c	16872e	$6$	$8$	\( 2^{3} \cdot 3 \cdot 19 \cdot 37 \)	\( 2^{8} \cdot 3^{8} \cdot 19^{4} \cdot 37^{2} \)	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.26	2Cs	$5624$	$192$	$1$	$4.032423911$	$1$		$11$	$53248$	$1.540802$	$26511701882112592/1170544394889$	$0.93424$	$4.45492$	$[0, 1, 0, -39444, -2911104]$	\(y^2=x^3+x^2-39444x-2911104\)	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.2.1, 148.48.0.?, 152.96.0.?, $\ldots$	$[(1680, 68376)]$
33744.e4	33744c2	33744.e	33744c	$6$	$8$	\( 2^{4} \cdot 3 \cdot 19 \cdot 37 \)	\( 2^{8} \cdot 3^{8} \cdot 19^{4} \cdot 37^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.33	2Cs	$5624$	$192$	$1$	$1$	$1$		$3$	$106496$	$1.540802$	$26511701882112592/1170544394889$	$0.93424$	$4.15876$	$[0, -1, 0, -39444, 2911104]$	\(y^2=x^3-x^2-39444x+2911104\)	2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.d.2.2, 148.48.0.?, 152.96.0.?, $\ldots$	$[ ]$
50616.g4	50616e2	50616.g	50616e	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 19 \cdot 37 \)	\( 2^{8} \cdot 3^{14} \cdot 19^{4} \cdot 37^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.13	2Cs	$16872$	$192$	$1$	$1$	$1$		$3$	$425984$	$2.090107$	$26511701882112592/1170544394889$	$0.93424$	$4.61162$	$[0, 0, 0, -354999, 78244810]$	\(y^2=x^3-354999x+78244810\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 12.24.0-4.b.1.3, 24.48.0-8.d.2.2, $\ldots$	$[ ]$
101232.ba4	101232d2	101232.ba	101232d	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 37 \)	\( 2^{8} \cdot 3^{14} \cdot 19^{4} \cdot 37^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.13	2Cs	$16872$	$192$	$1$	$22.07969790$	$1$		$3$	$851968$	$2.090107$	$26511701882112592/1170544394889$	$0.93424$	$4.33427$	$[0, 0, 0, -354999, -78244810]$	\(y^2=x^3-354999x-78244810\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 12.24.0-4.b.1.1, 24.48.0-8.d.2.1, $\ldots$	$[(-10190260967/5954, 46605390612165/5954)]$
134976.p4	134976bo2	134976.p	134976bo	$6$	$8$	\( 2^{6} \cdot 3 \cdot 19 \cdot 37 \)	\( 2^{14} \cdot 3^{8} \cdot 19^{4} \cdot 37^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.118	2Cs	$5624$	$192$	$1$	$13.88604755$	$1$		$3$	$851968$	$1.887375$	$26511701882112592/1170544394889$	$0.93424$	$4.02277$	$[0, -1, 0, -157777, -23131055]$	\(y^2=x^3-x^2-157777x-23131055\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.6, 148.24.0.?, 152.96.0.?, $\ldots$	$[(8793915/137, 6074083540/137)]$
134976.bo4	134976k2	134976.bo	134976k	$6$	$8$	\( 2^{6} \cdot 3 \cdot 19 \cdot 37 \)	\( 2^{14} \cdot 3^{8} \cdot 19^{4} \cdot 37^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.72	2Cs	$5624$	$192$	$1$	$1$	$1$		$3$	$851968$	$1.887375$	$26511701882112592/1170544394889$	$0.93424$	$4.02277$	$[0, 1, 0, -157777, 23131055]$	\(y^2=x^3+x^2-157777x+23131055\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.5, 148.24.0.?, 152.96.0.?, $\ldots$	$[ ]$
320568.e4	320568e2	320568.e	320568e	$6$	$8$	\( 2^{3} \cdot 3 \cdot 19^{2} \cdot 37 \)	\( 2^{8} \cdot 3^{8} \cdot 19^{10} \cdot 37^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.119	2Cs	$5624$	$192$	$1$	$1$	$9$	$3$	$3$	$19169280$	$3.013020$	$26511701882112592/1170544394889$	$0.93424$	$4.81376$	$[0, -1, 0, -14239404, 19881826164]$	\(y^2=x^3-x^2-14239404x+19881826164\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.8, 76.24.0.?, 148.24.0.?, $\ldots$	$[ ]$
404928.bb4	404928bb2	404928.bb	404928bb	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 37 \)	\( 2^{14} \cdot 3^{14} \cdot 19^{4} \cdot 37^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.13	2Cs	$16872$	$192$	$1$	$1$	$1$		$3$	$6815744$	$2.436680$	$26511701882112592/1170544394889$	$0.93424$	$4.19101$	$[0, 0, 0, -1419996, -625958480]$	\(y^2=x^3-1419996x-625958480\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 24.48.0-8.d.2.6, 148.24.0.?, $\ldots$	$[ ]$
404928.bc4	404928bc2	404928.bc	404928bc	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 37 \)	\( 2^{14} \cdot 3^{14} \cdot 19^{4} \cdot 37^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.13	2Cs	$16872$	$192$	$1$	$1$	$1$		$3$	$6815744$	$2.436680$	$26511701882112592/1170544394889$	$0.93424$	$4.19101$	$[0, 0, 0, -1419996, 625958480]$	\(y^2=x^3-1419996x+625958480\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 24.48.0-8.d.2.5, 148.24.0.?, $\ldots$	$[ ]$
421800.r4	421800r2	421800.r	421800r	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 19 \cdot 37 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 19^{4} \cdot 37^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.13	2Cs	$28120$	$192$	$1$	$1$	$1$		$3$	$6815744$	$2.345520$	$26511701882112592/1170544394889$	$0.93424$	$4.09334$	$[0, -1, 0, -986108, -361915788]$	\(y^2=x^3-x^2-986108x-361915788\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0-4.b.1.3, 40.48.0-8.d.2.1, $\ldots$	$[ ]$

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