Elliptic curves over Q\Q of conductor 252

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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
252.a1	252b2	252.a	252b	$2$	$2$	$2^{2} \cdot 3^{2} \cdot 7$	$2^{8} \cdot 3^{8} \cdot 7$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.195549380$	$1$		$13$	$96$	$0.225320$	$20720464/63$	$0.91015$	$5.24168$	$[0, 0, 0, -327, 2270]$	$y^2=x^3-327x+2270$	2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.?	$[(7, 18)]$
252.a2	252b1	252.a	252b	$2$	$2$	$2^{2} \cdot 3^{2} \cdot 7$	$- 2^{4} \cdot 3^{7} \cdot 7^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.097774690$	$1$		$17$	$48$	$-0.121254$	$-16384/147$	$1.05520$	$3.95555$	$[0, 0, 0, -12, 65]$	$y^2=x^3-12x+65$	2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.?	$[(-2, 9)]$
252.b1	252a4	252.b	252a	$4$	$6$	$2^{2} \cdot 3^{2} \cdot 7$	$2^{8} \cdot 3^{8} \cdot 7^{3}$	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$84$	$96$	$1$	$1$	$1$		$5$	$288$	$0.964115$	$2640279346000/3087$	$1.02245$	$7.36762$	$[0, 0, 0, -16455, 812446]$	$y^2=x^3-16455x+812446$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.j.1.8, 28.6.0.a.1, $\ldots$	$[]$
252.b2	252a3	252.b	252a	$4$	$6$	$2^{2} \cdot 3^{2} \cdot 7$	$- 2^{4} \cdot 3^{7} \cdot 7^{6}$	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$84$	$96$	$1$	$1$	$1$		$5$	$144$	$0.617541$	$-10061824000/352947$	$1.07286$	$5.86953$	$[0, 0, 0, -1020, 12913]$	$y^2=x^3-1020x+12913$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.b.1.2, 28.6.0.b.1, 84.96.1.?	$[]$
252.b3	252a2	252.b	252a	$4$	$6$	$2^{2} \cdot 3^{2} \cdot 7$	$2^{8} \cdot 3^{12} \cdot 7$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$84$	$96$	$1$	$1$	$1$		$1$	$96$	$0.414809$	$9826000/5103$	$0.97243$	$5.10675$	$[0, 0, 0, -255, 502]$	$y^2=x^3-255x+502$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 12.48.0-12.j.1.6, 28.6.0.a.1, $\ldots$	$[]$
252.b4	252a1	252.b	252a	$4$	$6$	$2^{2} \cdot 3^{2} \cdot 7$	$- 2^{4} \cdot 3^{9} \cdot 7^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$84$	$96$	$1$	$1$	$1$		$1$	$48$	$0.068235$	$2048000/1323$	$1.10843$	$4.32172$	$[0, 0, 0, 60, 61]$	$y^2=x^3+60x+61$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.b.1.1, 28.6.0.b.1, 84.96.1.?	$[]$

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