Elliptic curves over $\Q$ of conductor 2664

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (13 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
2664.a1	2664d1	2664.a	2664d	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$0.532774147$	$1$		$9$	$512$	$0.037443$	$10061824/333$	$0.84328$	$3.23147$	$1$	$[0, 0, 0, -102, 385]$	\(y^2=x^3-102x+385\)	2.3.0.a.1, 12.6.0.c.1, 74.6.0.?, 444.12.0.?	$[(8, 9)]$	$1$
2664.a2	2664d2	2664.a	2664d	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 37 \)	\( - 2^{8} \cdot 3^{7} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1.065548294$	$1$		$5$	$1024$	$0.384017$	$21296/4107$	$0.90925$	$3.53835$	$1$	$[0, 0, 0, 33, 1330]$	\(y^2=x^3+33x+1330\)	2.3.0.a.1, 6.6.0.a.1, 148.6.0.?, 444.12.0.?	$[(-1, 36)]$	$1$
2664.b1	2664a1	2664.b	2664a	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 37 \)	\( - 2^{11} \cdot 3^{9} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1.418826081$	$1$		$2$	$960$	$0.444720$	$18522/37$	$0.73583$	$3.57977$	$1$	$[0, 0, 0, 189, 1566]$	\(y^2=x^3+189x+1566\)	888.2.0.?	$[(6, 54)]$	$1$
2664.c1	2664c1	2664.c	2664c	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 37 \)	\( 2^{8} \cdot 3^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$0.676975498$	$1$		$6$	$480$	$0.193139$	$16000000/37$	$0.93985$	$3.64179$	$1$	$[0, 0, 0, -300, -1996]$	\(y^2=x^3-300x-1996\)	74.2.0.?	$[(-10, 2)]$	$1$
2664.d1	2664b2	2664.d	2664b	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 37 \)	\( 2^{8} \cdot 3^{12} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1.179256720$	$1$		$5$	$1536$	$0.682799$	$2885794000/26973$	$0.89518$	$4.30042$	$1$	$[0, 0, 0, -1695, 26642]$	\(y^2=x^3-1695x+26642\)	2.3.0.a.1, 12.6.0.c.1, 74.6.0.?, 444.12.0.?	$[(19, 36)]$	$1$
2664.d2	2664b1	2664.d	2664b	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 37 \)	\( - 2^{4} \cdot 3^{9} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$0.589628360$	$1$		$7$	$768$	$0.336226$	$-256000/36963$	$0.99258$	$3.46629$	$1$	$[0, 0, 0, -30, 1001]$	\(y^2=x^3-30x+1001\)	2.3.0.a.1, 6.6.0.a.1, 148.6.0.?, 444.12.0.?	$[(-8, 27)]$	$1$
2664.e1	2664g3	2664.e	2664g	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 37 \)	\( 2^{10} \cdot 3^{8} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.16	2B	$1776$	$192$	$3$	$1$	$1$		$1$	$4096$	$1.196348$	$38725206845188/333$	$0.98618$	$5.68116$	$2$	$[0, 0, 0, -63939, 6222958]$	\(y^2=x^3-63939x+6222958\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0-8.o.1.4, $\ldots$	$[ ]$	$1$
2664.e2	2664g2	2664.e	2664g	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 37 \)	\( 2^{8} \cdot 3^{10} \cdot 37^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.33	2Cs	$888$	$192$	$3$	$1$	$1$		$3$	$2048$	$0.849774$	$37897488592/110889$	$0.92293$	$4.62689$	$1$	$[0, 0, 0, -3999, 97090]$	\(y^2=x^3-3999x+97090\)	2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.3, 12.24.0-4.a.1.1, 24.48.0-24.k.1.2, $\ldots$	$[ ]$	$1$
2664.e3	2664g4	2664.e	2664g	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 37 \)	\( - 2^{10} \cdot 3^{8} \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.9	2B	$1776$	$192$	$3$	$1$	$1$		$1$	$4096$	$1.196348$	$-1994709028/16867449$	$0.97056$	$4.77776$	$2$	$[0, 0, 0, -2379, 176470]$	\(y^2=x^3-2379x+176470\)	2.3.0.a.1, 4.24.0-4.d.1.2, 12.48.0-12.e.1.1, 296.48.0.?, 592.96.0.?, $\ldots$	$[ ]$	$1$
2664.e4	2664g1	2664.e	2664g	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 37 \)	\( 2^{4} \cdot 3^{14} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.16	2B	$1776$	$192$	$3$	$1$	$1$		$1$	$1024$	$0.503201$	$420616192/242757$	$1.09240$	$3.70475$	$2$	$[0, 0, 0, -354, 133]$	\(y^2=x^3-354x+133\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0-8.o.1.4, $\ldots$	$[ ]$	$1$
2664.f1	2664f1	2664.f	2664f	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 37 \)	\( 2^{8} \cdot 3^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1.136357673$	$1$		$4$	$480$	$0.047066$	$351232/37$	$0.74527$	$3.15763$	$1$	$[0, 0, 0, -84, -268]$	\(y^2=x^3-84x-268\)	74.2.0.?	$[(-4, 2)]$	$1$
2664.g1	2664e1	2664.g	2664e	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 37 \)	\( - 2^{11} \cdot 3^{3} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$320$	$-0.104586$	$18522/37$	$0.73583$	$2.74406$	$1$	$[0, 0, 0, 21, -58]$	\(y^2=x^3+21x-58\)	888.2.0.?	$[ ]$	$1$
2664.h1	2664h1	2664.h	2664h	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 37 \)	\( - 2^{11} \cdot 3^{11} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$888$	$2$	$0$	$1$	$1$		$0$	$3200$	$0.734610$	$-434163602/8991$	$0.89794$	$4.32837$	$1$	$[0, 0, 0, -1803, 29990]$	\(y^2=x^3-1803x+29990\)	888.2.0.?	$[ ]$	$1$

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