Elliptic curves over $\Q$ of conductor 848

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
848.a1	848g1	848.a	848g	$1$	$1$	\( 2^{4} \cdot 53 \)	\( - 2^{17} \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$424$	$2$	$0$	$0.200486711$	$1$		$6$	$240$	$0.246888$	$-2305199161/1696$	$0.90862$	$4.43097$	$[0, 1, 0, -440, 3412]$	\(y^2=x^3+x^2-440x+3412\)	424.2.0.?	$[(6, 32)]$
848.b1	848d2	848.b	848d	$2$	$2$	\( 2^{4} \cdot 53 \)	\( 2^{4} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$424$	$48$	$0$	$1$	$1$		$1$	$168$	$-0.536722$	$35995648/53$	$0.88587$	$2.99153$	$[0, 1, 0, -17, 22]$	\(y^2=x^3+x^2-17x+22\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 106.6.0.?, 212.24.0.?, $\ldots$	$[]$
848.b2	848d1	848.b	848d	$2$	$2$	\( 2^{4} \cdot 53 \)	\( - 2^{8} \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$424$	$48$	$0$	$1$	$1$		$1$	$84$	$-0.190148$	$-810448/2809$	$0.81065$	$3.12847$	$[0, 1, 0, -12, 40]$	\(y^2=x^3+x^2-12x+40\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 212.12.0.?, 424.48.0.?	$[]$
848.c1	848b2	848.c	848b	$2$	$3$	\( 2^{4} \cdot 53 \)	\( - 2^{20} \cdot 53^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$636$	$16$	$0$	$1$	$1$		$0$	$3456$	$1.670544$	$-1646982616152408625/38112512$	$1.03018$	$7.45427$	$[0, -1, 0, -393648, 95194048]$	\(y^2=x^3-x^2-393648x+95194048\)	3.4.0.a.1, 12.8.0-3.a.1.2, 212.2.0.?, 318.8.0.?, 636.16.0.?	$[]$
848.c2	848b1	848.c	848b	$2$	$3$	\( 2^{4} \cdot 53 \)	\( - 2^{36} \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$636$	$16$	$0$	$1$	$1$		$0$	$1152$	$1.121239$	$-2507141976625/889192448$	$0.97433$	$5.53857$	$[0, -1, 0, -4528, 150464]$	\(y^2=x^3-x^2-4528x+150464\)	3.4.0.a.1, 12.8.0-3.a.1.1, 212.2.0.?, 318.8.0.?, 636.16.0.?	$[]$
848.d1	848a1	848.d	848a	$1$	$1$	\( 2^{4} \cdot 53 \)	\( - 2^{16} \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$212$	$2$	$0$	$1$	$1$		$0$	$192$	$0.051421$	$-47045881/848$	$1.00810$	$3.85815$	$[0, 1, 0, -120, -556]$	\(y^2=x^3+x^2-120x-556\)	212.2.0.?	$[]$
848.e1	848f1	848.e	848f	$1$	$1$	\( 2^{4} \cdot 53 \)	\( - 2^{8} \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$212$	$2$	$0$	$1.555140558$	$1$		$2$	$48$	$-0.515386$	$-35152/53$	$0.70049$	$2.56493$	$[0, 1, 0, -4, -8]$	\(y^2=x^3+x^2-4x-8\)	212.2.0.?	$[(3, 4)]$
848.f1	848c2	848.f	848c	$2$	$3$	\( 2^{4} \cdot 53 \)	\( - 2^{13} \cdot 53^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1272$	$16$	$0$	$1$	$1$		$0$	$432$	$0.429240$	$-81182737/297754$	$0.92112$	$4.23009$	$[0, -1, 0, -144, 1856]$	\(y^2=x^3-x^2-144x+1856\)	3.4.0.a.1, 12.8.0-3.a.1.2, 424.2.0.?, 1272.16.0.?	$[]$
848.f2	848c1	848.f	848c	$2$	$3$	\( 2^{4} \cdot 53 \)	\( - 2^{15} \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1272$	$16$	$0$	$1$	$1$		$0$	$144$	$-0.120066$	$103823/424$	$0.82910$	$3.21367$	$[0, -1, 0, 16, -64]$	\(y^2=x^3-x^2+16x-64\)	3.4.0.a.1, 12.8.0-3.a.1.1, 424.2.0.?, 1272.16.0.?	$[]$
848.g1	848e1	848.g	848e	$1$	$1$	\( 2^{4} \cdot 53 \)	\( - 2^{12} \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$212$	$2$	$0$	$1$	$1$		$0$	$128$	$-0.295401$	$3375/53$	$0.83211$	$2.92238$	$[0, 0, 0, 5, -22]$	\(y^2=x^3+5x-22\)	212.2.0.?	$[]$