Elliptic curves over $\Q$ of conductor 368

Results (10 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
368.a1	368g1	368.a	368g	$1$	$1$	\( 2^{4} \cdot 23 \)	\( - 2^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.255896742$	$1$		$4$	$48$	$-0.386863$	$-1149984000/23$	$0.95837$	$4.00056$	$[0, 0, 0, -55, 157]$	\(y^2=x^3-55x+157\)	46.2.0.a.1	$[(4, 1)]$
368.b1	368e2	368.b	368e	$2$	$3$	\( 2^{4} \cdot 23 \)	\( - 2^{4} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$276$	$16$	$0$	$0.166354307$	$1$		$4$	$24$	$-0.269963$	$-42592000/12167$	$0.87185$	$3.51061$	$[0, -1, 0, -18, 43]$	\(y^2=x^3-x^2-18x+43\)	3.4.0.a.1, 12.8.0-3.a.1.2, 46.2.0.a.1, 138.8.0.?, 276.16.0.?	$[(9, 23)]$
368.b2	368e1	368.b	368e	$2$	$3$	\( 2^{4} \cdot 23 \)	\( - 2^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$276$	$16$	$0$	$0.499062921$	$1$		$4$	$8$	$-0.819269$	$32000/23$	$0.71982$	$2.22510$	$[0, -1, 0, 2, -1]$	\(y^2=x^3-x^2+2x-1\)	3.4.0.a.1, 12.8.0-3.a.1.1, 46.2.0.a.1, 138.8.0.?, 276.16.0.?	$[(1, 1)]$
368.c1	368a2	368.c	368a	$2$	$2$	\( 2^{4} \cdot 23 \)	\( 2^{11} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$184$	$12$	$0$	$0.408316753$	$1$		$7$	$48$	$-0.129547$	$2315250/529$	$0.89506$	$3.77105$	$[0, 0, 0, -35, -62]$	\(y^2=x^3-35x-62\)	2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.?	$[(-3, 4)]$
368.c2	368a1	368.c	368a	$2$	$2$	\( 2^{4} \cdot 23 \)	\( - 2^{10} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$0.816633506$	$1$		$7$	$24$	$-0.476121$	$13500/23$	$0.90383$	$2.89547$	$[0, 0, 0, 5, -6]$	\(y^2=x^3+5x-6\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(3, 6)]$
368.d1	368b2	368.d	368b	$2$	$2$	\( 2^{4} \cdot 23 \)	\( 2^{17} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$184$	$12$	$0$	$1$	$1$		$1$	$240$	$0.601238$	$545138290809/16928$	$1.08081$	$5.98199$	$[0, 0, 0, -2723, 54690]$	\(y^2=x^3-2723x+54690\)	2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.?	$[]$
368.d2	368b1	368.d	368b	$2$	$2$	\( 2^{4} \cdot 23 \)	\( - 2^{22} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$120$	$0.254665$	$-116930169/23552$	$1.03422$	$4.60276$	$[0, 0, 0, -163, 930]$	\(y^2=x^3-163x+930\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
368.e1	368d1	368.e	368d	$1$	$1$	\( 2^{4} \cdot 23 \)	\( - 2^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.707800424$	$1$		$2$	$16$	$-0.828061$	$-256/23$	$0.98486$	$2.26287$	$[0, 1, 0, 0, -1]$	\(y^2=x^3+x^2-1\)	46.2.0.a.1	$[(1, 1)]$
368.f1	368c1	368.f	368c	$1$	$1$	\( 2^{4} \cdot 23 \)	\( - 2^{4} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$16$	$-0.740119$	$-562432/23$	$0.75822$	$2.72185$	$[0, 1, 0, -4, -5]$	\(y^2=x^3+x^2-4x-5\)	46.2.0.a.1	$[]$
368.g1	368f1	368.g	368f	$1$	$1$	\( 2^{4} \cdot 23 \)	\( - 2^{4} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$24$	$-0.821413$	$-6912/23$	$0.66890$	$2.28892$	$[0, 0, 0, -1, -1]$	\(y^2=x^3-x-1\)	46.2.0.a.1	$[]$