Elliptic curves over $\Q$ of conductor 132

Results (4 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
132.a1	132b2	132.a	132b	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \)	\( 2^{8} \cdot 3^{5} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$60$	$0.415363$	$932410994128/29403$	$0.99766$	$6.78017$	$[0, -1, 0, -1292, 18312]$	\(y^2=x^3-x^2-1292x+18312\)	2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.?	$[]$
132.a2	132b1	132.a	132b	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \)	\( - 2^{4} \cdot 3^{10} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$30$	$0.068789$	$-3196715008/649539$	$1.08791$	$5.11159$	$[0, -1, 0, -77, 330]$	\(y^2=x^3-x^2-77x+330\)	2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.?	$[]$
132.b1	132a2	132.b	132a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \)	\( 2^{8} \cdot 3 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$12$	$-0.351294$	$810448/363$	$0.86847$	$3.92203$	$[0, 1, 0, -12, -12]$	\(y^2=x^3+x^2-12x-12\)	2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.?	$[]$
132.b2	132a1	132.b	132a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \)	\( - 2^{4} \cdot 3^{2} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$6$	$-0.697867$	$131072/99$	$1.36072$	$2.98109$	$[0, 1, 0, 3, 0]$	\(y^2=x^3+x^2+3x\)	2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.?	$[]$