Elliptic curves over $\Q$ of conductor 2244

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
2244.a1	2244a1	2244.a	2244a	$1$	$1$	\( 2^{2} \cdot 3 \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{2} \cdot 11^{3} \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$1$	$1$		$0$	$16128$	$1.576405$	$-5102271397888/4915446963867$	$1.10840$	$5.47224$	$[0, -1, 0, -2277, -1706463]$	\(y^2=x^3-x^2-2277x-1706463\)	374.2.0.?	$[]$
2244.b1	2244c1	2244.b	2244c	$1$	$1$	\( 2^{2} \cdot 3 \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{2} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$374$	$2$	$0$	$1.064058479$	$1$		$2$	$192$	$-0.235688$	$524288/1683$	$0.87291$	$2.62175$	$[0, 1, 0, 11, -25]$	\(y^2=x^3+x^2+11x-25\)	374.2.0.?	$[(2, 3)]$
2244.c1	2244b2	2244.c	2244b	$2$	$3$	\( 2^{2} \cdot 3 \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{4} \cdot 11^{3} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$1122$	$16$	$0$	$4.926728060$	$1$		$2$	$3456$	$1.225149$	$-14820625871872000/529675443$	$1.00325$	$5.54432$	$[0, 1, 0, -32493, -2265345]$	\(y^2=x^3+x^2-32493x-2265345\)	3.8.0-3.a.1.1, 374.2.0.?, 1122.16.0.?	$[(210, 465)]$
2244.c2	2244b1	2244.c	2244b	$2$	$3$	\( 2^{2} \cdot 3 \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{12} \cdot 11 \cdot 17 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$1122$	$16$	$0$	$1.642242686$	$1$		$10$	$1152$	$0.675842$	$-351232000/99379467$	$1.01297$	$4.07158$	$[0, 1, 0, -93, -7713]$	\(y^2=x^3+x^2-93x-7713\)	3.8.0-3.a.1.2, 374.2.0.?, 1122.16.0.?	$[(21, 6)]$