Elliptic curves over $\Q$ of conductor 264

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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
264.a1	264b3	264.a	264b	$4$	$4$	\( 2^{3} \cdot 3 \cdot 11 \)	\( 2^{11} \cdot 3^{4} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$264$	$48$	$0$	$1$	$1$		$1$	$64$	$0.212413$	$5690357426/891$	$0.97486$	$5.39579$	$[0, -1, 0, -472, 4108]$	\(y^2=x^3-x^2-472x+4108\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 44.12.0-4.c.1.1, $\ldots$	$[]$
264.a2	264b2	264.a	264b	$4$	$4$	\( 2^{3} \cdot 3 \cdot 11 \)	\( 2^{10} \cdot 3^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$264$	$48$	$0$	$1$	$1$		$3$	$32$	$-0.134161$	$3650692/1089$	$0.89911$	$3.95303$	$[0, -1, 0, -32, 60]$	\(y^2=x^3-x^2-32x+60\)	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 44.12.0-2.a.1.1, $\ldots$	$[]$
264.a3	264b1	264.a	264b	$4$	$4$	\( 2^{3} \cdot 3 \cdot 11 \)	\( 2^{8} \cdot 3 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$264$	$48$	$0$	$1$	$1$		$1$	$16$	$-0.480734$	$810448/33$	$0.82188$	$3.43449$	$[0, -1, 0, -12, -12]$	\(y^2=x^3-x^2-12x-12\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$	$[]$
264.a4	264b4	264.a	264b	$4$	$4$	\( 2^{3} \cdot 3 \cdot 11 \)	\( - 2^{11} \cdot 3 \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$264$	$48$	$0$	$1$	$1$		$1$	$64$	$0.212413$	$36382894/43923$	$0.96093$	$4.50450$	$[0, -1, 0, 88, 300]$	\(y^2=x^3-x^2+88x+300\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$	$[]$
264.b1	264c4	264.b	264c	$4$	$4$	\( 2^{3} \cdot 3 \cdot 11 \)	\( 2^{10} \cdot 3 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$264$	$48$	$0$	$1$	$1$		$1$	$96$	$0.169321$	$37736227588/33$	$0.98449$	$5.61077$	$[0, 1, 0, -704, 6960]$	\(y^2=x^3+x^2-704x+6960\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$	$[]$
264.b2	264c3	264.b	264c	$4$	$4$	\( 2^{3} \cdot 3 \cdot 11 \)	\( 2^{10} \cdot 3 \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$264$	$48$	$0$	$1$	$1$		$1$	$96$	$0.169321$	$122657188/43923$	$0.95383$	$4.58332$	$[0, 1, 0, -104, -288]$	\(y^2=x^3+x^2-104x-288\)	2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 88.24.0.?, 264.48.0.?	$[]$
264.b3	264c2	264.b	264c	$4$	$4$	\( 2^{3} \cdot 3 \cdot 11 \)	\( 2^{8} \cdot 3^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$132$	$48$	$0$	$1$	$1$		$3$	$48$	$-0.177253$	$37642192/1089$	$0.89513$	$4.12285$	$[0, 1, 0, -44, 96]$	\(y^2=x^3+x^2-44x+96\)	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 44.24.0-44.b.1.1, 132.48.0.?	$[]$
264.b4	264c1	264.b	264c	$4$	$4$	\( 2^{3} \cdot 3 \cdot 11 \)	\( - 2^{4} \cdot 3^{4} \cdot 11 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$264$	$48$	$0$	$1$	$1$		$3$	$24$	$-0.523827$	$2048/891$	$1.09261$	$3.05209$	$[0, 1, 0, 1, 6]$	\(y^2=x^3+x^2+x+6\)	2.3.0.a.1, 4.12.0-4.c.1.1, 22.6.0.a.1, 24.24.0-24.ba.1.8, 44.24.0-44.g.1.2, $\ldots$	$[]$
264.c1	264a1	264.c	264a	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \)	\( 2^{10} \cdot 3 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$16$	$-0.439444$	$62500/33$	$1.02621$	$3.22356$	$[0, 1, 0, -8, 0]$	\(y^2=x^3+x^2-8x\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[]$
264.c2	264a2	264.c	264a	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \)	\( - 2^{11} \cdot 3^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$264$	$12$	$0$	$1$	$1$		$1$	$32$	$-0.092870$	$1714750/1089$	$1.18812$	$3.94182$	$[0, 1, 0, 32, 32]$	\(y^2=x^3+x^2+32x+32\)	2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.?	$[]$
264.d1	264d1	264.d	264d	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \)	\( 2^{10} \cdot 3^{7} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$336$	$0.760713$	$55635379958596/24057$	$1.02905$	$6.91924$	$[0, 1, 0, -8016, -278928]$	\(y^2=x^3+x^2-8016x-278928\)	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[]$
264.d2	264d2	264.d	264d	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \)	\( - 2^{11} \cdot 3^{14} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$264$	$12$	$0$	$1$	$1$		$1$	$672$	$1.107286$	$-27403349188178/578739249$	$1.02957$	$6.92297$	$[0, 1, 0, -7976, -281808]$	\(y^2=x^3+x^2-7976x-281808\)	2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.?	$[]$

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