Elliptic curves over $\Q$ of conductor 46546

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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
46546.a1	46546a4	46546.a	46546a	$4$	$6$	\( 2 \cdot 17 \cdot 37^{2} \)	\( 2 \cdot 17^{6} \cdot 37^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$15096$	$96$	$1$	$1$	$1$		$0$	$616896$	$1.984947$	$159661140625/48275138$	$1.06848$	$4.41579$	$[1, 0, 1, -154726, -16200690]$	\(y^2+xy+y=x^3-154726x-16200690\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$	$[ ]$
46546.a2	46546a3	46546.a	46546a	$4$	$6$	\( 2 \cdot 17 \cdot 37^{2} \)	\( 2^{2} \cdot 17^{3} \cdot 37^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$15096$	$96$	$1$	$1$	$1$		$1$	$308448$	$1.638372$	$120920208625/19652$	$0.98564$	$4.38994$	$[1, 0, 1, -141036, -20395306]$	\(y^2+xy+y=x^3-141036x-20395306\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$	$[ ]$
46546.a3	46546a2	46546.a	46546a	$4$	$6$	\( 2 \cdot 17 \cdot 37^{2} \)	\( 2^{3} \cdot 17^{2} \cdot 37^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$15096$	$96$	$1$	$1$	$1$		$0$	$205632$	$1.435640$	$8805624625/2312$	$0.96590$	$4.14620$	$[1, 0, 1, -58896, 5495222]$	\(y^2+xy+y=x^3-58896x+5495222\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$	$[ ]$
46546.a4	46546a1	46546.a	46546a	$4$	$6$	\( 2 \cdot 17 \cdot 37^{2} \)	\( 2^{6} \cdot 17 \cdot 37^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$15096$	$96$	$1$	$1$	$1$		$1$	$102816$	$1.089067$	$3048625/1088$	$0.90010$	$3.40482$	$[1, 0, 1, -4136, 63030]$	\(y^2+xy+y=x^3-4136x+63030\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$	$[ ]$
46546.b1	46546b2	46546.b	46546b	$2$	$3$	\( 2 \cdot 17 \cdot 37^{2} \)	\( - 2 \cdot 17^{3} \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$15096$	$16$	$0$	$1$	$1$		$0$	$16848$	$0.244074$	$-3816983233/9826$	$0.86810$	$2.72502$	$[1, 0, 1, -362, -2682]$	\(y^2+xy+y=x^3-362x-2682\)	3.4.0.a.1, 111.8.0.?, 136.2.0.?, 408.8.0.?, 15096.16.0.?	$[ ]$
46546.b2	46546b1	46546.b	46546b	$2$	$3$	\( 2 \cdot 17 \cdot 37^{2} \)	\( - 2^{3} \cdot 17 \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$15096$	$16$	$0$	$1$	$1$		$0$	$5616$	$-0.305232$	$49247/136$	$0.74057$	$1.80068$	$[1, 0, 1, 8, -18]$	\(y^2+xy+y=x^3+8x-18\)	3.4.0.a.1, 111.8.0.?, 136.2.0.?, 408.8.0.?, 15096.16.0.?	$[ ]$
46546.c1	46546f2	46546.c	46546f	$2$	$3$	\( 2 \cdot 17 \cdot 37^{2} \)	\( - 2 \cdot 17^{3} \cdot 37^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$408$	$16$	$0$	$1$	$1$		$0$	$623376$	$2.049534$	$-3816983233/9826$	$0.86810$	$4.74075$	$[1, 0, 0, -494922, -134353946]$	\(y^2+xy=x^3-494922x-134353946\)	3.8.0-3.a.1.1, 136.2.0.?, 408.16.0.?	$[ ]$
46546.c2	46546f1	46546.c	46546f	$2$	$3$	\( 2 \cdot 17 \cdot 37^{2} \)	\( - 2^{3} \cdot 17 \cdot 37^{8} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$408$	$16$	$0$	$1$	$1$		$2$	$207792$	$1.500227$	$49247/136$	$0.74057$	$3.81641$	$[1, 0, 0, 11608, -933944]$	\(y^2+xy=x^3+11608x-933944\)	3.8.0-3.a.1.2, 136.2.0.?, 408.16.0.?	$[ ]$
46546.d1	46546e1	46546.d	46546e	$2$	$2$	\( 2 \cdot 17 \cdot 37^{2} \)	\( 2^{16} \cdot 17 \cdot 37^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5032$	$48$	$0$	$1$	$1$		$1$	$963072$	$2.281551$	$7052482298233/1525219328$	$0.90595$	$4.76823$	$[1, 0, 0, -546944, -123256832]$	\(y^2+xy=x^3-546944x-123256832\)	2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 68.12.0.e.1, 136.24.0.?, $\ldots$	$[ ]$
46546.d2	46546e2	46546.d	46546e	$2$	$2$	\( 2 \cdot 17 \cdot 37^{2} \)	\( - 2^{8} \cdot 17^{2} \cdot 37^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$5032$	$48$	$0$	$1$	$1$		$0$	$1926144$	$2.628124$	$75488529485447/138657927424$	$0.93920$	$5.06104$	$[1, 0, 0, 1205376, -750937856]$	\(y^2+xy=x^3+1205376x-750937856\)	2.3.0.a.1, 4.6.0.a.1, 68.12.0.d.1, 136.24.0.?, 296.12.0.?, $\ldots$	$[ ]$
46546.e1	46546d1	46546.e	46546d	$1$	$1$	\( 2 \cdot 17 \cdot 37^{2} \)	\( - 2^{25} \cdot 17 \cdot 37^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5032$	$2$	$0$	$1$	$1$		$0$	$1504800$	$2.485886$	$-28520791922377/21105737728$	$0.92281$	$4.97486$	$[1, 0, 0, -871397, -472700927]$	\(y^2+xy=x^3-871397x-472700927\)	5032.2.0.?	$[ ]$
46546.f1	46546c1	46546.f	46546c	$1$	$1$	\( 2 \cdot 17 \cdot 37^{2} \)	\( - 2^{12} \cdot 17 \cdot 37^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2516$	$2$	$0$	$1$	$1$		$0$	$459648$	$1.750484$	$-8908363017/2576384$	$0.90844$	$4.18499$	$[1, -1, 1, -59124, -6761641]$	\(y^2+xy+y=x^3-x^2-59124x-6761641\)	2516.2.0.?	$[ ]$
46546.g1	46546g1	46546.g	46546g	$1$	$1$	\( 2 \cdot 17 \cdot 37^{2} \)	\( - 2^{5} \cdot 17^{3} \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5032$	$2$	$0$	$0.549370735$	$1$		$0$	$410400$	$1.915949$	$-492477523273/5816992$	$0.87815$	$4.52247$	$[1, 1, 1, -225229, 41465827]$	\(y^2+xy+y=x^3+x^2-225229x+41465827\)	5032.2.0.?	$[(2281/3, 19838/3)]$

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