Elliptic curves over $\Q$ of conductor 3336

Results (7 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
3336.a1	3336c1	3336.a	3336c	$1$	$1$	\( 2^{3} \cdot 3 \cdot 139 \)	\( - 2^{8} \cdot 3^{2} \cdot 139 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$278$	$2$	$0$	$0.142766702$	$1$		$24$	$448$	$-0.252139$	$-810448/1251$	$0.73962$	$2.52079$	$[0, -1, 0, -12, 36]$	\(y^2=x^3-x^2-12x+36\)	278.2.0.?	$[(0, 6), (6, 12)]$
3336.b1	3336a1	3336.b	3336a	$1$	$1$	\( 2^{3} \cdot 3 \cdot 139 \)	\( - 2^{10} \cdot 3^{8} \cdot 139 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$278$	$2$	$0$	$1$	$1$		$0$	$3328$	$0.536062$	$-82013318212/911979$	$0.89596$	$3.95446$	$[0, -1, 0, -912, -10404]$	\(y^2=x^3-x^2-912x-10404\)	278.2.0.?	$[]$
3336.c1	3336d1	3336.c	3336d	$1$	$1$	\( 2^{3} \cdot 3 \cdot 139 \)	\( - 2^{4} \cdot 3^{2} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$278$	$2$	$0$	$0.262380111$	$1$		$6$	$288$	$-0.489820$	$702464/1251$	$0.76172$	$2.09134$	$[0, -1, 0, 5, 4]$	\(y^2=x^3-x^2+5x+4\)	278.2.0.?	$[(1, 3)]$
3336.d1	3336e1	3336.d	3336e	$1$	$1$	\( 2^{3} \cdot 3 \cdot 139 \)	\( - 2^{10} \cdot 3^{11} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$1.690660442$	$1$		$2$	$12672$	$1.174126$	$-3439147732759876/24623433$	$0.97188$	$5.26414$	$[0, -1, 0, -31696, 2182588]$	\(y^2=x^3-x^2-31696x+2182588\)	1668.2.0.?	$[(102, 20)]$
3336.e1	3336f1	3336.e	3336f	$1$	$1$	\( 2^{3} \cdot 3 \cdot 139 \)	\( - 2^{10} \cdot 3^{3} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1668$	$2$	$0$	$0.276273126$	$1$		$6$	$384$	$-0.022882$	$-12194500/3753$	$0.79234$	$2.91825$	$[0, 1, 0, -48, 144]$	\(y^2=x^3+x^2-48x+144\)	1668.2.0.?	$[(0, 12)]$
3336.f1	3336b1	3336.f	3336b	$2$	$2$	\( 2^{3} \cdot 3 \cdot 139 \)	\( 2^{10} \cdot 3^{3} \cdot 139 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$3336$	$12$	$0$	$1$	$1$		$1$	$1344$	$0.390516$	$210094874500/3753$	$1.00904$	$4.06807$	$[0, 1, 0, -1248, 16560]$	\(y^2=x^3+x^2-1248x+16560\)	2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.?	$[]$
3336.f2	3336b2	3336.f	3336b	$2$	$2$	\( 2^{3} \cdot 3 \cdot 139 \)	\( - 2^{11} \cdot 3^{6} \cdot 139^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$3336$	$12$	$0$	$1$	$1$		$1$	$2688$	$0.737090$	$-95269531250/14085009$	$1.02921$	$4.08407$	$[0, 1, 0, -1208, 17712]$	\(y^2=x^3+x^2-1208x+17712\)	2.3.0.a.1, 8.6.0.a.1, 1668.6.0.?, 3336.12.0.?	$[]$