Elliptic curves over $\Q$ of conductor 833

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
833.a1	833a3	833.a	833a	$4$	$4$	\( 7^{2} \cdot 17 \)	\( 7^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$7616$	$1536$	$53$	$1$	$1$		$0$	$288$	$0.596319$	$82483294977/17$	$1.03131$	$5.47378$	$[1, -1, 1, -4444, 115126]$	\(y^2+xy+y=x^3-x^2-4444x+115126\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 28.12.0-4.c.1.1, $\ldots$	$[]$
833.a2	833a2	833.a	833a	$4$	$4$	\( 7^{2} \cdot 17 \)	\( 7^{6} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.20	2Cs	$3808$	$1536$	$53$	$1$	$1$		$2$	$144$	$0.249745$	$20346417/289$	$1.02963$	$4.23847$	$[1, -1, 1, -279, 1838]$	\(y^2+xy+y=x^3-x^2-279x+1838\)	2.6.0.a.1, 4.12.0.a.1, 8.24.0.f.1, 16.48.0.c.2, 28.24.0-4.a.1.1, $\ldots$	$[]$
833.a3	833a1	833.a	833a	$4$	$4$	\( 7^{2} \cdot 17 \)	\( 7^{6} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	32.48.0.12	2B	$7616$	$1536$	$53$	$1$	$1$		$1$	$72$	$-0.096828$	$35937/17$	$1.02432$	$3.29589$	$[1, -1, 1, -34, -24]$	\(y^2+xy+y=x^3-x^2-34x-24\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 28.12.0-4.c.1.2, $\ldots$	$[]$
833.a4	833a4	833.a	833a	$4$	$4$	\( 7^{2} \cdot 17 \)	\( - 7^{6} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.76	2B	$7616$	$1536$	$53$	$1$	$1$		$0$	$288$	$0.596319$	$-35937/83521$	$1.18071$	$4.52983$	$[1, -1, 1, -34, 4778]$	\(y^2+xy+y=x^3-x^2-34x+4778\)	2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 28.24.0-4.d.1.1, $\ldots$	$[]$