Elliptic curves over Q\Q of conductor 855

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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
855.a1	855a4	855.a	855a	$4$	$4$	$3^{2} \cdot 5 \cdot 19$	$3^{8} \cdot 5^{3} \cdot 19^{4}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$1$	$1$		$0$	$2304$	$1.303446$	$23977812996389881/146611125$	$1.09826$	$6.56301$	$[1, -1, 1, -54068, 4852482]$	$y^2+xy+y=x^3-x^2-54068x+4852482$	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 12.12.0-4.c.1.1, 20.12.0.g.1, $\ldots$	$[]$
855.a2	855a3	855.a	855a	$4$	$4$	$3^{2} \cdot 5 \cdot 19$	$3^{8} \cdot 5^{12} \cdot 19$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$1$	$1$		$0$	$2304$	$1.303446$	$209595169258201/41748046875$	$0.98100$	$5.86095$	$[1, -1, 1, -11138, -363594]$	$y^2+xy+y=x^3-x^2-11138x-363594$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.z.1, 76.12.0.?, $\ldots$	$[]$
855.a3	855a2	855.a	855a	$4$	$4$	$3^{2} \cdot 5 \cdot 19$	$3^{10} \cdot 5^{6} \cdot 19^{2}$	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$1140$	$48$	$0$	$1$	$1$		$2$	$1152$	$0.956871$	$6189976379881/456890625$	$0.95560$	$5.33922$	$[1, -1, 1, -3443, 73482]$	$y^2+xy+y=x^3-x^2-3443x+73482$	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.b.1, 60.24.0-20.b.1.2, 76.12.0.?, $\ldots$	$[]$
855.a4	855a1	855.a	855a	$4$	$4$	$3^{2} \cdot 5 \cdot 19$	$- 3^{14} \cdot 5^{3} \cdot 19$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$1$	$1$		$1$	$576$	$0.610298$	$1256216039/15582375$	$0.94875$	$4.52671$	$[1, -1, 1, 202, 4956]$	$y^2+xy+y=x^3-x^2+202x+4956$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.z.1, 60.12.0-4.c.1.2, $\ldots$	$[]$
855.b1	855b2	855.b	855b	$2$	$2$	$3^{2} \cdot 5 \cdot 19$	$3^{8} \cdot 5^{6} \cdot 19$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1140$	$12$	$0$	$0.181618857$	$1$		$12$	$384$	$0.559646$	$90458382169/2671875$	$1.09032$	$4.71328$	$[1, -1, 1, -842, 9366]$	$y^2+xy+y=x^3-x^2-842x+9366$	2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.?	$[(26, 54)]$
855.b2	855b1	855.b	855b	$2$	$2$	$3^{2} \cdot 5 \cdot 19$	$- 3^{7} \cdot 5^{3} \cdot 19^{2}$	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1140$	$12$	$0$	$0.363237715$	$1$		$9$	$192$	$0.213072$	$357911/135375$	$0.95197$	$3.83058$	$[1, -1, 1, 13, 474]$	$y^2+xy+y=x^3-x^2+13x+474$	2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.?	$[(2, 21)]$
855.c1	855c2	855.c	855c	$2$	$2$	$3^{2} \cdot 5 \cdot 19$	$3^{16} \cdot 5^{2} \cdot 19$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1140$	$12$	$0$	$1$	$1$		$0$	$640$	$0.667949$	$48587168449/28048275$	$1.03180$	$4.62122$	$[1, -1, 0, -684, 513]$	$y^2+xy=x^3-x^2-684x+513$	2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.?	$[]$
855.c2	855c1	855.c	855c	$2$	$2$	$3^{2} \cdot 5 \cdot 19$	$- 3^{11} \cdot 5 \cdot 19^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1140$	$12$	$0$	$1$	$1$		$1$	$320$	$0.321375$	$756058031/438615$	$1.00322$	$4.00458$	$[1, -1, 0, 171, 0]$	$y^2+xy=x^3-x^2+171x$	2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.?	$[]$

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