Elliptic curves over $\Q$ of conductor 4884

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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	Manin constant
4884.a1	4884c2	4884.a	4884c	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{5} \cdot 11^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$3.521994492$	$1$		$3$	$11520$	$1.441345$	$1666315860501346000/40252707$	$1.07171$	$5.59264$	$[0, -1, 0, -156828, 23957064]$	\(y^2=x^3-x^2-156828x+23957064\)	2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.?	$[(821, 21164)]$	$1$
4884.a2	4884c1	4884.a	4884c	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{10} \cdot 11^{4} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1.760997246$	$1$		$3$	$5760$	$1.094772$	$6532108386304000/31987847133$	$1.30184$	$4.61377$	$[0, -1, 0, -9813, 375858]$	\(y^2=x^3-x^2-9813x+375858\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[(62, 44)]$	$1$
4884.b1	4884a2	4884.b	4884a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3 \cdot 11^{4} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1$	$1$		$1$	$4608$	$0.720693$	$1482435250000/60130587$	$0.92845$	$3.95232$	$[0, -1, 0, -1508, -21240]$	\(y^2=x^3-x^2-1508x-21240\)	2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.?	$[ ]$	$1$
4884.b2	4884a1	4884.b	4884a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1$	$1$		$1$	$2304$	$0.374119$	$23018340352000/40293$	$1.07901$	$3.94879$	$[0, -1, 0, -1493, -21714]$	\(y^2=x^3-x^2-1493x-21714\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[ ]$	$1$
4884.c1	4884b2	4884.c	4884b	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{7} \cdot 11^{4} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1$	$1$		$1$	$21504$	$1.266754$	$983758169579344/43835197923$	$0.92785$	$4.71732$	$[0, -1, 0, -13156, 562408]$	\(y^2=x^3-x^2-13156x+562408\)	2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.?	$[ ]$	$1$
4884.c2	4884b1	4884.c	4884b	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{14} \cdot 11^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$444$	$12$	$0$	$1$	$1$		$1$	$10752$	$0.920180$	$75760866033664/21413352213$	$1.06331$	$4.08904$	$[0, -1, 0, -2221, -28082]$	\(y^2=x^3-x^2-2221x-28082\)	2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.?	$[ ]$	$1$
4884.d1	4884d1	4884.d	4884d	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{4} \cdot 3^{8} \cdot 11^{4} \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$3256$	$48$	$0$	$1$	$1$		$1$	$18432$	$1.372700$	$17453395699253248/4865706969453$	$0.99749$	$4.72948$	$[0, 1, 0, -13617, -444852]$	\(y^2=x^3+x^2-13617x-444852\)	2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 88.12.0.?, 148.24.0.?, $\ldots$	$[ ]$	$1$
4884.d2	4884d2	4884.d	4884d	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{8} \cdot 3^{4} \cdot 11^{2} \cdot 37^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$3256$	$48$	$0$	$1$	$4$	$2$	$1$	$36864$	$1.719275$	$19144301716363952/25146684534609$	$0.96435$	$5.09492$	$[0, 1, 0, 35388, -2875500]$	\(y^2=x^3+x^2+35388x-2875500\)	2.3.0.a.1, 4.6.0.a.1, 88.12.0.?, 148.12.0.?, 296.24.0.?, $\ldots$	$[ ]$	$1$

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