Elliptic curves over $\Q$ of conductor 13673

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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
13673.a1	13673b1	13673.a	13673b	$2$	$2$	\( 11^{2} \cdot 113 \)	\( 11^{6} \cdot 113 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$9944$	$48$	$0$	$5.103555658$	$1$		$1$	$4320$	$0.322774$	$912673/113$	$0.88900$	$2.95190$	$[1, 1, 0, -244, 1203]$	\(y^2+xy=x^3+x^2-244x+1203\)	2.3.0.a.1, 4.6.0.b.1, 88.12.0.?, 226.6.0.?, 452.24.0.?, $\ldots$	$[(1734/5, 66813/5)]$	$1$
13673.a2	13673b2	13673.a	13673b	$2$	$2$	\( 11^{2} \cdot 113 \)	\( - 11^{6} \cdot 113^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$9944$	$48$	$0$	$10.20711131$	$1$		$0$	$8640$	$0.669348$	$2924207/12769$	$1.12450$	$3.27146$	$[1, 1, 0, 361, 6890]$	\(y^2+xy=x^3+x^2+361x+6890\)	2.3.0.a.1, 4.6.0.a.1, 88.12.0.?, 452.12.0.?, 904.24.0.?, $\ldots$	$[(-25553/98, 73665887/98)]$	$1$
13673.b1	13673a1	13673.b	13673a	$1$	$1$	\( 11^{2} \cdot 113 \)	\( - 11^{7} \cdot 113^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2486$	$2$	$0$	$1$	$49$	$7$	$0$	$286560$	$1.809446$	$-5361580302413824/15871867$	$1.03324$	$5.31392$	$[0, -1, 1, -441206, -112653641]$	\(y^2+y=x^3-x^2-441206x-112653641\)	2486.2.0.?	$[ ]$	$1$

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