Elliptic curves over $\Q$ of conductor 11916

Results (11 matches)

 

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
11916.a1	11916j1	11916.a	11916j	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 331 \)	\( 2^{4} \cdot 3^{7} \cdot 331 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1986$	$2$	$0$	$0.219203101$	$1$		$20$	$2496$	$0.045405$	$1755904/993$	$0.84128$	$2.52969$	$[0, 0, 0, -57, 25]$	\(y^2=x^3-57x+25\)	1986.2.0.?	$[(-1, 9), (-7, 9)]$
11916.b1	11916h1	11916.b	11916h	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 331 \)	\( - 2^{4} \cdot 3^{6} \cdot 331 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$1$	$1$		$0$	$10656$	$0.671037$	$-2224893853696/331$	$0.96016$	$4.02690$	$[0, 0, 0, -6168, -186451]$	\(y^2=x^3-6168x-186451\)	662.2.0.?	$[]$
11916.c1	11916g1	11916.c	11916g	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 331 \)	\( - 2^{4} \cdot 3^{10} \cdot 331 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$1$	$1$		$0$	$2688$	$0.316179$	$21807104/26811$	$0.82171$	$2.81061$	$[0, 0, 0, 132, -619]$	\(y^2=x^3+132x-619\)	662.2.0.?	$[]$
11916.d1	11916b1	11916.d	11916b	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 331 \)	\( 2^{4} \cdot 3^{9} \cdot 331 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1986$	$2$	$0$	$0.604740465$	$1$		$14$	$9504$	$0.816598$	$259859232000/331$	$0.86673$	$4.14927$	$[0, 0, 0, -9045, 331101]$	\(y^2=x^3-9045x+331101\)	1986.2.0.?	$[(57, 27), (52, 37)]$
11916.e1	11916a1	11916.e	11916a	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 331 \)	\( 2^{4} \cdot 3^{3} \cdot 331 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1986$	$2$	$0$	$1$	$1$		$0$	$3168$	$0.267292$	$259859232000/331$	$0.86673$	$3.44695$	$[0, 0, 0, -1005, -12263]$	\(y^2=x^3-1005x-12263\)	1986.2.0.?	$[]$
11916.f1	11916f1	11916.f	11916f	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 331 \)	\( - 2^{8} \cdot 3^{9} \cdot 331 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$3972$	$16$	$0$	$1$	$1$		$0$	$7680$	$0.685844$	$-8346562000/8937$	$0.82536$	$3.72738$	$[0, 0, 0, -2415, -45722]$	\(y^2=x^3-2415x-45722\)	3.8.0-3.a.1.1, 3972.16.0.?	$[]$
11916.f2	11916f2	11916.f	11916f	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 331 \)	\( - 2^{8} \cdot 3^{7} \cdot 331^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$3972$	$16$	$0$	$1$	$1$		$2$	$23040$	$1.235151$	$15761198000/108794073$	$0.89022$	$4.04970$	$[0, 0, 0, 2985, -207506]$	\(y^2=x^3+2985x-207506\)	3.8.0-3.a.1.2, 3972.16.0.?	$[]$
11916.g1	11916c1	11916.g	11916c	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 331 \)	\( 2^{4} \cdot 3^{9} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1986$	$2$	$0$	$0.721392954$	$1$		$2$	$2304$	$0.234400$	$20353792/8937$	$0.74621$	$2.79076$	$[0, 0, 0, -129, 277]$	\(y^2=x^3-129x+277\)	1986.2.0.?	$[(-4, 27)]$
11916.h1	11916i1	11916.h	11916i	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 331 \)	\( 2^{4} \cdot 3^{9} \cdot 331 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1986$	$2$	$0$	$1$	$1$		$0$	$4032$	$0.365714$	$1108671232/8937$	$0.79315$	$3.21669$	$[0, 0, 0, -489, 4133]$	\(y^2=x^3-489x+4133\)	1986.2.0.?	$[]$
11916.i1	11916e1	11916.i	11916e	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 331 \)	\( - 2^{4} \cdot 3^{6} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$1.945875980$	$1$		$2$	$2592$	$-0.052338$	$131072/331$	$0.75736$	$2.38245$	$[0, 0, 0, 24, -83]$	\(y^2=x^3+24x-83\)	662.2.0.?	$[(3, 4)]$
11916.j1	11916d1	11916.j	11916d	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 331 \)	\( - 2^{4} \cdot 3^{10} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$6.874511009$	$1$		$2$	$6528$	$0.530756$	$-17903239168/26811$	$0.88601$	$3.51336$	$[0, 0, 0, -1236, -16747]$	\(y^2=x^3-1236x-16747\)	662.2.0.?	$[(947, 29122)]$