Elliptic curves over $\Q$ of conductor 888

Results (9 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
888.a1	888a1	888.a	888a	$1$	$1$	\( 2^{3} \cdot 3 \cdot 37 \)	\( - 2^{11} \cdot 3^{5} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$400$	$0.185303$	$-434163602/8991$	$0.89794$	$4.05786$	$[0, -1, 0, -200, -1044]$	\(y^2=x^3-x^2-200x-1044\)	888.2.0.?	$[ ]$
888.b1	888c2	888.b	888c	$2$	$2$	\( 2^{3} \cdot 3 \cdot 37 \)	\( 2^{8} \cdot 3^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$0.802597351$	$1$		$7$	$192$	$0.133493$	$2885794000/26973$	$0.89518$	$4.02539$	$[0, -1, 0, -188, -924]$	\(y^2=x^3-x^2-188x-924\)	2.3.0.a.1, 12.6.0.c.1, 74.6.0.?, 444.12.0.?	$[(-8, 2)]$
888.b2	888c1	888.b	888c	$2$	$2$	\( 2^{3} \cdot 3 \cdot 37 \)	\( - 2^{4} \cdot 3^{3} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1.605194702$	$1$		$5$	$96$	$-0.213081$	$-256000/36963$	$0.99258$	$3.05628$	$[0, -1, 0, -3, -36]$	\(y^2=x^3-x^2-3x-36\)	2.3.0.a.1, 6.6.0.a.1, 148.6.0.?, 444.12.0.?	$[(5, 7)]$
888.c1	888b3	888.c	888b	$4$	$4$	\( 2^{3} \cdot 3 \cdot 37 \)	\( 2^{10} \cdot 3^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.57	2B	$1776$	$192$	$3$	$4.728791041$	$1$		$3$	$512$	$0.647042$	$38725206845188/333$	$0.98618$	$5.62957$	$[0, 1, 0, -7104, -232848]$	\(y^2=x^3+x^2-7104x-232848\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 48.48.0-48.i.1.8, 74.6.0.?, $\ldots$	$[(147, 1386)]$
888.c2	888b2	888.c	888b	$4$	$4$	\( 2^{3} \cdot 3 \cdot 37 \)	\( 2^{8} \cdot 3^{4} \cdot 37^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.7	2Cs	$888$	$192$	$3$	$2.364395520$	$1$		$7$	$256$	$0.300468$	$37897488592/110889$	$0.92293$	$4.40469$	$[0, 1, 0, -444, -3744]$	\(y^2=x^3+x^2-444x-3744\)	2.6.0.a.1, 4.24.0-4.a.1.1, 24.48.0-24.k.1.1, 148.48.0.?, 296.96.0.?, $\ldots$	$[(36, 168)]$
888.c3	888b4	888.c	888b	$4$	$4$	\( 2^{3} \cdot 3 \cdot 37 \)	\( - 2^{10} \cdot 3^{2} \cdot 37^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.11	2B	$1776$	$192$	$3$	$4.728791041$	$1$		$3$	$512$	$0.647042$	$-1994709028/16867449$	$0.97056$	$4.57997$	$[0, 1, 0, -264, -6624]$	\(y^2=x^3+x^2-264x-6624\)	2.3.0.a.1, 4.24.0-4.d.1.1, 12.48.0-12.e.1.2, 296.48.0.?, 592.96.0.?, $\ldots$	$[(141/2, 1365/2)]$
888.c4	888b1	888.c	888b	$4$	$4$	\( 2^{3} \cdot 3 \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 37 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.47	2B	$1776$	$192$	$3$	$1.182197760$	$1$		$11$	$128$	$-0.046105$	$420616192/242757$	$1.09240$	$3.33332$	$[0, 1, 0, -39, -18]$	\(y^2=x^3+x^2-39x-18\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 48.48.0-48.i.1.4, 74.6.0.?, $\ldots$	$[(-6, 6)]$
888.d1	888d1	888.d	888d	$2$	$2$	\( 2^{3} \cdot 3 \cdot 37 \)	\( 2^{4} \cdot 3^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1$	$1$		$1$	$64$	$-0.511863$	$10061824/333$	$0.84328$	$2.78346$	$[0, 1, 0, -11, -18]$	\(y^2=x^3+x^2-11x-18\)	2.3.0.a.1, 12.6.0.c.1, 74.6.0.?, 444.12.0.?	$[ ]$
888.d2	888d2	888.d	888d	$2$	$2$	\( 2^{3} \cdot 3 \cdot 37 \)	\( - 2^{8} \cdot 3 \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1$	$1$		$1$	$128$	$-0.165289$	$21296/4107$	$0.90925$	$3.14000$	$[0, 1, 0, 4, -48]$	\(y^2=x^3+x^2+4x-48\)	2.3.0.a.1, 6.6.0.a.1, 148.6.0.?, 444.12.0.?	$[ ]$

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