Elliptic curves over $\Q$ of conductor 103933

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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
103933.a1	103933c4	103933.a	103933c	$4$	$4$	\( 37 \cdot 53^{2} \)	\( 37^{4} \cdot 53^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$15688$	$48$	$0$	$1$	$1$		$0$	$1280448$	$2.296467$	$3332653354953/99330533$	$0.88123$	$4.55842$	$[1, -1, 1, -874126, -306137768]$	\(y^2+xy+y=x^3-x^2-874126x-306137768\)	2.3.0.a.1, 4.12.0-4.c.1.2, 106.6.0.?, 212.24.0.?, 296.24.0.?, $\ldots$	$[ ]$
103933.a2	103933c2	103933.a	103933c	$4$	$4$	\( 37 \cdot 53^{2} \)	\( 37^{2} \cdot 53^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$7844$	$48$	$0$	$1$	$4$	$2$	$2$	$640224$	$1.949892$	$10896752313/3845521$	$0.87414$	$4.06298$	$[1, -1, 1, -129741, 11267996]$	\(y^2+xy+y=x^3-x^2-129741x+11267996\)	2.6.0.a.1, 4.12.0-2.a.1.1, 148.24.0.?, 212.24.0.?, 7844.48.0.?	$[ ]$
103933.a3	103933c1	103933.a	103933c	$4$	$4$	\( 37 \cdot 53^{2} \)	\( 37 \cdot 53^{7} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$15688$	$48$	$0$	$1$	$4$	$2$	$3$	$320112$	$1.603319$	$7727161833/1961$	$0.85206$	$4.03322$	$[1, -1, 1, -115696, 15172506]$	\(y^2+xy+y=x^3-x^2-115696x+15172506\)	2.3.0.a.1, 4.12.0-4.c.1.1, 296.24.0.?, 424.24.0.?, 3922.6.0.?, $\ldots$	$[ ]$
103933.a4	103933c3	103933.a	103933c	$4$	$4$	\( 37 \cdot 53^{2} \)	\( - 37 \cdot 53^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$15688$	$48$	$0$	$1$	$4$	$2$	$0$	$1280448$	$2.296467$	$295807676247/291947797$	$0.88201$	$4.34876$	$[1, -1, 1, 389924, 78616580]$	\(y^2+xy+y=x^3-x^2+389924x+78616580\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 148.12.0.?, 212.12.0.?, $\ldots$	$[ ]$
103933.b1	103933b3	103933.b	103933b	$3$	$9$	\( 37 \cdot 53^{2} \)	\( 37 \cdot 53^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$105894$	$1296$	$43$	$1$	$9$	$3$	$0$	$906984$	$2.207226$	$727057727488000/37$	$1.08598$	$5.02461$	$[0, -1, 1, -5262193, -4644450356]$	\(y^2+y=x^3-x^2-5262193x-4644450356\)	3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 74.2.0.?, 159.8.0.?, $\ldots$	$[ ]$
103933.b2	103933b2	103933.b	103933b	$3$	$9$	\( 37 \cdot 53^{2} \)	\( 37^{3} \cdot 53^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.2	3Cs	$105894$	$1296$	$43$	$1$	$1$		$0$	$302328$	$1.657921$	$1404928000/50653$	$0.97274$	$3.88564$	$[0, -1, 1, -65543, -6232365]$	\(y^2+y=x^3-x^2-65543x-6232365\)	3.12.0.a.1, 9.36.0.b.1, 74.2.0.?, 159.24.0.?, 222.24.1.?, $\ldots$	$[ ]$
103933.b3	103933b1	103933.b	103933b	$3$	$9$	\( 37 \cdot 53^{2} \)	\( 37 \cdot 53^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$105894$	$1296$	$43$	$1$	$1$		$0$	$100776$	$1.108616$	$4096000/37$	$0.88268$	$3.38028$	$[0, -1, 1, -9363, 349122]$	\(y^2+y=x^3-x^2-9363x+349122\)	3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 74.2.0.?, 159.8.0.?, $\ldots$	$[ ]$
103933.c1	103933a1	103933.c	103933a	$1$	$1$	\( 37 \cdot 53^{2} \)	\( 37 \cdot 53^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$31.82847525$	$1$		$0$	$303160$	$0.988604$	$110592/37$	$0.76978$	$3.06760$	$[0, 0, 1, -2809, 37219]$	\(y^2+y=x^3-2809x+37219\)	74.2.0.?	$[(-31839893674511/938454, 249618881688397199837/938454)]$

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