Elliptic curves over $\Q$ of conductor 476525

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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
476525.a1	476525a1	476525.a	476525a	$2$	$3$	\( 5^{2} \cdot 7^{2} \cdot 389 \)	\( - 5^{4} \cdot 7^{9} \cdot 389 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$16338$	$16$	$0$	$8.235584595$	$1$		$0$	$653184$	$1.300495$	$-9967206400/133427$	$0.79058$	$3.14806$	$[0, -1, 1, -18783, -995982]$	\(y^2+y=x^3-x^2-18783x-995982\)	3.4.0.a.1, 21.8.0-3.a.1.1, 2334.8.0.?, 5446.2.0.?, 16338.16.0.?	$[(24436/5, 3778009/5)]$
476525.a2	476525a2	476525.a	476525a	$2$	$3$	\( 5^{2} \cdot 7^{2} \cdot 389 \)	\( - 5^{4} \cdot 7^{7} \cdot 389^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$16338$	$16$	$0$	$2.745194865$	$1$		$2$	$1959552$	$1.849800$	$451680665600/412047083$	$0.88673$	$3.43801$	$[0, -1, 1, 66967, -5086257]$	\(y^2+y=x^3-x^2+66967x-5086257\)	3.4.0.a.1, 21.8.0-3.a.1.2, 2334.8.0.?, 5446.2.0.?, 16338.16.0.?	$[(117, 2082)]$
476525.b1	476525b1	476525.b	476525b	$1$	$1$	\( 5^{2} \cdot 7^{2} \cdot 389 \)	\( - 5^{4} \cdot 7^{3} \cdot 389 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5446$	$2$	$0$	$0.392509334$	$1$		$4$	$113472$	$0.275524$	$-6553600/389$	$0.72017$	$2.14686$	$[0, -1, 1, -233, 1518]$	\(y^2+y=x^3-x^2-233x+1518\)	5446.2.0.?	$[(12, 17)]$
476525.c1	476525c1	476525.c	476525c	$1$	$1$	\( 5^{2} \cdot 7^{2} \cdot 389 \)	\( - 5^{10} \cdot 7^{9} \cdot 389 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5446$	$2$	$0$	$1$	$9$	$3$	$0$	$3971520$	$2.053196$	$-6553600/389$	$0.72017$	$3.77847$	$[0, -1, 1, -285833, -61666557]$	\(y^2+y=x^3-x^2-285833x-61666557\)	5446.2.0.?	$[ ]$
476525.d1	476525d1	476525.d	476525d	$2$	$3$	\( 5^{2} \cdot 7^{2} \cdot 389 \)	\( - 5^{10} \cdot 7^{9} \cdot 389 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$81690$	$16$	$0$	$1$	$1$		$0$	$3265920$	$2.105213$	$-9967206400/133427$	$0.79058$	$3.88666$	$[0, 1, 1, -469583, -125436881]$	\(y^2+y=x^3+x^2-469583x-125436881\)	3.4.0.a.1, 105.8.0.?, 5446.2.0.?, 11670.8.0.?, 16338.8.0.?, $\ldots$	$[ ]$
476525.d2	476525d2	476525.d	476525d	$2$	$3$	\( 5^{2} \cdot 7^{2} \cdot 389 \)	\( - 5^{10} \cdot 7^{7} \cdot 389^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$81690$	$16$	$0$	$1$	$1$		$0$	$9797760$	$2.654518$	$451680665600/412047083$	$0.88673$	$4.17660$	$[0, 1, 1, 1674167, -632433756]$	\(y^2+y=x^3+x^2+1674167x-632433756\)	3.4.0.a.1, 105.8.0.?, 5446.2.0.?, 11670.8.0.?, 16338.8.0.?, $\ldots$	$[ ]$
476525.e1	476525e1	476525.e	476525e	$1$	$1$	\( 5^{2} \cdot 7^{2} \cdot 389 \)	\( - 5^{10} \cdot 7^{3} \cdot 389 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5446$	$2$	$0$	$1$	$1$		$0$	$567360$	$1.080242$	$-6553600/389$	$0.72017$	$2.88546$	$[0, 1, 1, -5833, 178119]$	\(y^2+y=x^3+x^2-5833x+178119\)	5446.2.0.?	$[ ]$
476525.f1	476525f1	476525.f	476525f	$1$	$1$	\( 5^{2} \cdot 7^{2} \cdot 389 \)	\( - 5^{4} \cdot 7^{9} \cdot 389 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5446$	$2$	$0$	$11.12414189$	$1$		$0$	$794304$	$1.248478$	$-6553600/389$	$0.72017$	$3.03987$	$[0, 1, 1, -11433, -497906]$	\(y^2+y=x^3+x^2-11433x-497906\)	5446.2.0.?	$[(1237366/17, 1376132923/17)]$
476525.g1	476525g1	476525.g	476525g	$1$	$1$	\( 5^{2} \cdot 7^{2} \cdot 389 \)	\( 5^{6} \cdot 7^{6} \cdot 389 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$778$	$2$	$0$	$6.195043058$	$1$		$0$	$1010880$	$0.982033$	$1404928/389$	$0.69546$	$2.71431$	$[0, 1, 1, -2858, -43431]$	\(y^2+y=x^3+x^2-2858x-43431\)	778.2.0.?	$[(373/2, 5707/2)]$

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