Elliptic curves over $\Q$ of conductor 1197

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (10 matches)

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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
1197.a1	1197d2	1197.a	1197d	$2$	$2$	\( 3^{2} \cdot 7 \cdot 19 \)	\( 3^{16} \cdot 7^{3} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$0$	$1920$	$1.263586$	$789529529265625/7311624327$	$1.01939$	$5.76984$	$[1, -1, 1, -17330, -866694]$	\(y^2+xy+y=x^3-x^2-17330x-866694\)	2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.?	$[ ]$	$1$
1197.a2	1197d1	1197.a	1197d	$2$	$2$	\( 3^{2} \cdot 7 \cdot 19 \)	\( 3^{11} \cdot 7^{6} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$960$	$0.917013$	$1031831907625/543185433$	$0.96952$	$4.83297$	$[1, -1, 1, -1895, 10014]$	\(y^2+xy+y=x^3-x^2-1895x+10014\)	2.3.0.a.1, 28.6.0.b.1, 114.6.0.?, 1596.12.0.?	$[ ]$	$1$
1197.b1	1197b1	1197.b	1197b	$2$	$2$	\( 3^{2} \cdot 7 \cdot 19 \)	\( 3^{9} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$0.800669275$	$1$		$7$	$384$	$0.303924$	$766060875/931$	$0.86309$	$4.28134$	$[1, -1, 1, -515, 4618]$	\(y^2+xy+y=x^3-x^2-515x+4618\)	2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[(14, -4)]$	$1$
1197.b2	1197b2	1197.b	1197b	$2$	$2$	\( 3^{2} \cdot 7 \cdot 19 \)	\( - 3^{9} \cdot 7^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$0.400334637$	$1$		$8$	$768$	$0.650497$	$-307546875/866761$	$1.04147$	$4.40228$	$[1, -1, 1, -380, 6994]$	\(y^2+xy+y=x^3-x^2-380x+6994\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(8, 62)]$	$1$
1197.c1	1197c2	1197.c	1197c	$2$	$2$	\( 3^{2} \cdot 7 \cdot 19 \)	\( 3^{8} \cdot 7 \cdot 19^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$0$	$2688$	$1.075348$	$11192824869409/2963890503$	$0.95644$	$5.16932$	$[1, -1, 0, -4194, -75951]$	\(y^2+xy=x^3-x^2-4194x-75951\)	2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.?	$[ ]$	$1$
1197.c2	1197c1	1197.c	1197c	$2$	$2$	\( 3^{2} \cdot 7 \cdot 19 \)	\( 3^{7} \cdot 7^{2} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$1344$	$0.728773$	$8855610342769/1008273$	$0.94565$	$5.13628$	$[1, -1, 0, -3879, -92016]$	\(y^2+xy=x^3-x^2-3879x-92016\)	2.3.0.a.1, 28.6.0.b.1, 114.6.0.?, 1596.12.0.?	$[ ]$	$1$
1197.d1	1197a1	1197.d	1197a	$2$	$2$	\( 3^{2} \cdot 7 \cdot 19 \)	\( 3^{3} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.806801059$	$1$		$3$	$128$	$-0.245383$	$766060875/931$	$0.86309$	$3.35130$	$[1, -1, 0, -57, -152]$	\(y^2+xy=x^3-x^2-57x-152\)	2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 114.6.0.?, 228.12.0.?	$[(12, 22)]$	$1$
1197.d2	1197a2	1197.d	1197a	$2$	$2$	\( 3^{2} \cdot 7 \cdot 19 \)	\( - 3^{3} \cdot 7^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$0.903400529$	$1$		$4$	$256$	$0.101191$	$-307546875/866761$	$1.04147$	$3.47225$	$[1, -1, 0, -42, -245]$	\(y^2+xy=x^3-x^2-42x-245\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(14, 35)]$	$1$
1197.e1	1197e2	1197.e	1197e	$2$	$2$	\( 3^{2} \cdot 7 \cdot 19 \)	\( 3^{12} \cdot 7 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$0$	$384$	$0.475673$	$12246522625/1842183$	$0.89725$	$4.20739$	$[1, -1, 0, -432, -2867]$	\(y^2+xy=x^3-x^2-432x-2867\)	2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.?	$[ ]$	$1$
1197.e2	1197e1	1197.e	1197e	$2$	$2$	\( 3^{2} \cdot 7 \cdot 19 \)	\( 3^{9} \cdot 7^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$192$	$0.129100$	$244140625/25137$	$1.08196$	$3.65498$	$[1, -1, 0, -117, 472]$	\(y^2+xy=x^3-x^2-117x+472\)	2.3.0.a.1, 28.6.0.b.1, 114.6.0.?, 1596.12.0.?	$[ ]$	$1$

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