Elliptic curves over $\Q$ of conductor 289578

Results (8 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
289578.a1	289578a2	289578.a	289578a	$2$	$2$	\( 2 \cdot 3 \cdot 17^{2} \cdot 167 \)	\( 2^{3} \cdot 3 \cdot 17^{6} \cdot 167^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4008$	$12$	$0$	$14.96563539$	$1$		$0$	$1419264$	$1.401754$	$213525509833/669336$	$0.91066$	$3.42602$	$[1, 1, 0, -35986, -2635460]$	\(y^2+xy=x^3+x^2-35986x-2635460\)	2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.?	$[(2507103/77, 3379728295/77)]$
289578.a2	289578a1	289578.a	289578a	$2$	$2$	\( 2 \cdot 3 \cdot 17^{2} \cdot 167 \)	\( - 2^{6} \cdot 3^{2} \cdot 17^{6} \cdot 167 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4008$	$12$	$0$	$7.482817699$	$1$		$1$	$709632$	$1.055182$	$-10218313/96192$	$0.87168$	$2.86158$	$[1, 1, 0, -1306, -76076]$	\(y^2+xy=x^3+x^2-1306x-76076\)	2.3.0.a.1, 24.6.0.d.1, 334.6.0.?, 4008.12.0.?	$[(3516/7, 143410/7)]$
289578.b1	289578b1	289578.b	289578b	$1$	$1$	\( 2 \cdot 3 \cdot 17^{2} \cdot 167 \)	\( - 2^{3} \cdot 3^{14} \cdot 17^{6} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$2.317493428$	$1$		$0$	$4967424$	$2.194008$	$-3843995587427449/6390046584$	$0.97481$	$4.20537$	$[1, 1, 0, -943157, 352666053]$	\(y^2+xy=x^3+x^2-943157x+352666053\)	1336.2.0.?	$[(15461/5, 277369/5)]$
289578.c1	289578c1	289578.c	289578c	$1$	$1$	\( 2 \cdot 3 \cdot 17^{2} \cdot 167 \)	\( - 2^{23} \cdot 3^{2} \cdot 17^{6} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$5723136$	$2.043716$	$19785968032823/12608077824$	$0.98193$	$3.78615$	$[1, 0, 1, 162845, 8056862]$	\(y^2+xy+y=x^3+162845x+8056862\)	1336.2.0.?	$[]$
289578.d1	289578d2	289578.d	289578d	$2$	$2$	\( 2 \cdot 3 \cdot 17^{2} \cdot 167 \)	\( 2 \cdot 3^{4} \cdot 17^{6} \cdot 167^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$1336$	$12$	$0$	$1$	$1$		$0$	$1769472$	$1.751276$	$70470585447625/4518018$	$0.95235$	$3.88715$	$[1, 0, 1, -248691, -47753084]$	\(y^2+xy+y=x^3-248691x-47753084\)	2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.?	$[]$
289578.d2	289578d1	289578.d	289578d	$2$	$2$	\( 2 \cdot 3 \cdot 17^{2} \cdot 167 \)	\( - 2^{2} \cdot 3^{8} \cdot 17^{6} \cdot 167 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1336$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.404703$	$-14260515625/4382748$	$0.95237$	$3.24471$	$[1, 0, 1, -14601, -841448]$	\(y^2+xy+y=x^3-14601x-841448\)	2.3.0.a.1, 8.6.0.c.1, 334.6.0.?, 1336.12.0.?	$[]$
289578.e1	289578e1	289578.e	289578e	$1$	$1$	\( 2 \cdot 3 \cdot 17^{2} \cdot 167 \)	\( - 2^{7} \cdot 3^{4} \cdot 17^{6} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$0.897748889$	$1$		$4$	$1146880$	$1.312105$	$-2181825073/1731456$	$0.88543$	$3.13022$	$[1, 1, 1, -7809, 405759]$	\(y^2+xy+y=x^3+x^2-7809x+405759\)	1336.2.0.?	$[(307, 5048)]$
289578.f1	289578f1	289578.f	289578f	$1$	$1$	\( 2 \cdot 3 \cdot 17^{2} \cdot 167 \)	\( - 2^{3} \cdot 3^{12} \cdot 17^{22} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1336$	$2$	$0$	$1$	$1$		$0$	$9958588416$	$5.715912$	$-3846377839720943147437488427439761/34549698102052625073221257656$	$1.07983$	$7.50205$	$[1, 0, 0, -943352315991, 355388587087486689]$	\(y^2+xy=x^3-943352315991x+355388587087486689\)	1336.2.0.?	$[]$