Elliptic curves over $\Q$ of conductor 834

Results (12 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
834.a1	834c1	834.a	834c	$1$	$1$	\( 2 \cdot 3 \cdot 139 \)	\( - 2^{2} \cdot 3^{4} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$278$	$2$	$0$	$0.081088181$	$1$		$10$	$96$	$-0.428130$	$12167/45036$	$0.95901$	$2.70133$	$[1, 0, 1, 0, 10]$	\(y^2+xy+y=x^3+10\)	278.2.0.?	$[(-1, 3)]$
834.b1	834a3	834.b	834a	$4$	$4$	\( 2 \cdot 3 \cdot 139 \)	\( 2^{7} \cdot 3^{7} \cdot 139^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$3336$	$48$	$0$	$1$	$1$		$0$	$9408$	$2.057865$	$368338718602320108230953/104500400213376$	$1.09517$	$8.06741$	$[1, 0, 1, -1493395, 702316526]$	\(y^2+xy+y=x^3-1493395x+702316526\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$	$[]$
834.b2	834a2	834.b	834a	$4$	$4$	\( 2 \cdot 3 \cdot 139 \)	\( 2^{14} \cdot 3^{14} \cdot 139^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.1	2Cs	$3336$	$48$	$0$	$1$	$1$		$2$	$4704$	$1.711292$	$91021581897882444073/1514074014498816$	$1.07852$	$6.83259$	$[1, 0, 1, -93715, 10874606]$	\(y^2+xy+y=x^3-93715x+10874606\)	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.2, 556.12.0.?, $\ldots$	$[]$
834.b3	834a1	834.b	834a	$4$	$4$	\( 2 \cdot 3 \cdot 139 \)	\( 2^{28} \cdot 3^{7} \cdot 139 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.12	2B	$3336$	$48$	$0$	$1$	$1$		$1$	$2352$	$1.364719$	$181453194188333353/81602499575808$	$1.06982$	$5.90818$	$[1, 0, 1, -11795, -233746]$	\(y^2+xy+y=x^3-11795x-233746\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.y.1.2, $\ldots$	$[]$
834.b4	834a4	834.b	834a	$4$	$4$	\( 2 \cdot 3 \cdot 139 \)	\( - 2^{7} \cdot 3^{28} \cdot 139 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.7	2B	$3336$	$48$	$0$	$1$	$1$		$0$	$9408$	$2.057865$	$-11886225803094313/407023891358666112$	$1.11464$	$7.13659$	$[1, 0, 1, -4755, 30694894]$	\(y^2+xy+y=x^3-4755x+30694894\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 556.12.0.?, $\ldots$	$[]$
834.c1	834b1	834.c	834b	$1$	$1$	\( 2 \cdot 3 \cdot 139 \)	\( - 2^{4} \cdot 3 \cdot 139 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1668$	$2$	$0$	$1$	$1$		$0$	$96$	$-0.285797$	$-23320116793/6672$	$0.89680$	$3.54925$	$[1, 0, 1, -60, -182]$	\(y^2+xy+y=x^3-60x-182\)	1668.2.0.?	$[]$
834.d1	834f1	834.d	834f	$1$	$1$	\( 2 \cdot 3 \cdot 139 \)	\( - 2^{14} \cdot 3^{4} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$278$	$2$	$0$	$0.051153679$	$1$		$14$	$672$	$0.485490$	$-119801283921073/184467456$	$0.96082$	$4.81986$	$[1, 1, 1, -1027, 12257]$	\(y^2+xy+y=x^3+x^2-1027x+12257\)	278.2.0.?	$[(35, 126)]$
834.e1	834e1	834.e	834e	$1$	$1$	\( 2 \cdot 3 \cdot 139 \)	\( - 2^{2} \cdot 3 \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1668$	$2$	$0$	$0.546897032$	$1$		$4$	$48$	$-0.697171$	$857375/1668$	$0.80224$	$2.15887$	$[1, 1, 1, 2, -1]$	\(y^2+xy+y=x^3+x^2+2x-1\)	1668.2.0.?	$[(1, 1)]$
834.f1	834d1	834.f	834d	$2$	$2$	\( 2 \cdot 3 \cdot 139 \)	\( 2^{2} \cdot 3 \cdot 139 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.4	2B	$3336$	$12$	$0$	$1$	$1$		$1$	$64$	$-0.604192$	$57066625/1668$	$0.82747$	$2.65523$	$[1, 1, 1, -8, 5]$	\(y^2+xy+y=x^3+x^2-8x+5\)	2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.?	$[]$
834.f2	834d2	834.f	834d	$2$	$2$	\( 2 \cdot 3 \cdot 139 \)	\( - 2 \cdot 3^{2} \cdot 139^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.5	2B	$3336$	$12$	$0$	$1$	$1$		$0$	$128$	$-0.257618$	$857375/347778$	$0.94518$	$3.00504$	$[1, 1, 1, 2, 29]$	\(y^2+xy+y=x^3+x^2+2x+29\)	2.3.0.a.1, 8.6.0.a.1, 1668.6.0.?, 3336.12.0.?	$[]$
834.g1	834g2	834.g	834g	$2$	$5$	\( 2 \cdot 3 \cdot 139 \)	\( - 2^{2} \cdot 3 \cdot 139^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$8340$	$48$	$1$	$4.000314284$	$1$		$2$	$2000$	$0.948084$	$-143228059472161/622666136388$	$1.04157$	$5.16440$	$[1, 0, 0, -1090, -40504]$	\(y^2+xy=x^3-1090x-40504\)	5.24.0-5.a.2.2, 1668.2.0.?, 8340.48.1.?	$[(52, 184)]$
834.g2	834g1	834.g	834g	$2$	$5$	\( 2 \cdot 3 \cdot 139 \)	\( - 2^{10} \cdot 3^{5} \cdot 139 \)	$1$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.1	5B.1.1	$8340$	$48$	$1$	$0.800062856$	$1$		$16$	$400$	$0.143365$	$-37966934881/34587648$	$1.04223$	$3.76221$	$[1, 0, 0, -70, 356]$	\(y^2+xy=x^3-70x+356\)	5.24.0-5.a.1.2, 1668.2.0.?, 8340.48.1.?	$[(4, 10)]$