Elliptic curve search results

Results (7 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
10766.e1	10766h1	10766.e	10766h	$2$	$7$	\( 2 \cdot 7 \cdot 769 \)	\( - 2^{21} \cdot 7^{7} \cdot 769 \)	$1$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$43064$	$96$	$2$	$3.091150269$	$1$		$12$	$204624$	$1.921877$	$-10096027515422913423969/1328135939293184$	$0.98258$	$5.45733$	$[1, -1, 1, -450273, 116420913]$	\(y^2+xy+y=x^3-x^2-450273x+116420913\)	7.48.0-7.a.1.2, 43064.96.2.?	$[(119, 7972)]$
75362.n1	75362n1	75362.n	75362n	$2$	$7$	\( 2 \cdot 7^{2} \cdot 769 \)	\( - 2^{21} \cdot 7^{13} \cdot 769 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.4	7B.1.6	$43064$	$96$	$2$	$1$	$4$	$2$	$0$	$9821952$	$2.894833$	$-10096027515422913423969/1328135939293184$	$0.98258$	$5.55136$	$[1, -1, 1, -22063362, -39888246527]$	\(y^2+xy+y=x^3-x^2-22063362x-39888246527\)	7.48.0-7.a.1.1, 43064.96.2.?	$[]$
86128.l1	86128g1	86128.l	86128g	$2$	$7$	\( 2^{4} \cdot 7 \cdot 769 \)	\( - 2^{33} \cdot 7^{7} \cdot 769 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$43064$	$96$	$2$	$1$	$25$	$5$	$0$	$4910976$	$2.615025$	$-10096027515422913423969/1328135939293184$	$0.98258$	$5.19065$	$[0, 0, 0, -7204363, -7443734086]$	\(y^2=x^3-7204363x-7443734086\)	7.24.0.a.1, 28.48.0-7.a.1.1, 43064.96.2.?	$[]$
96894.f1	96894d1	96894.f	96894d	$2$	$7$	\( 2 \cdot 3^{2} \cdot 7 \cdot 769 \)	\( - 2^{21} \cdot 3^{6} \cdot 7^{7} \cdot 769 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$129192$	$96$	$2$	$11.76106638$	$1$		$0$	$2864736$	$2.471184$	$-10096027515422913423969/1328135939293184$	$0.98258$	$4.98706$	$[1, -1, 0, -4052454, -3139312204]$	\(y^2+xy=x^3-x^2-4052454x-3139312204\)	7.24.0.a.1, 21.48.0-7.a.1.2, 43064.48.2.?, 129192.96.2.?	$[(1804159/15, 2324433272/15)]$
269150.f1	269150f1	269150.f	269150f	$2$	$7$	\( 2 \cdot 5^{2} \cdot 7 \cdot 769 \)	\( - 2^{21} \cdot 5^{6} \cdot 7^{7} \cdot 769 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$215320$	$96$	$2$	$57.20603703$	$1$		$0$	$28647360$	$2.726597$	$-10096027515422913423969/1328135939293184$	$0.98258$	$4.82470$	$[1, -1, 0, -11256817, 14541357341]$	\(y^2+xy=x^3-x^2-11256817x+14541357341\)	7.24.0.a.1, 35.48.0-7.a.1.1, 43064.48.2.?, 215320.96.2.?	$[(30549520943690934188027557/125612737047, 635176495703990443291911528084024857/125612737047)]$
344512.b1	344512b1	344512.b	344512b	$2$	$7$	\( 2^{6} \cdot 7 \cdot 769 \)	\( - 2^{39} \cdot 7^{7} \cdot 769 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$43064$	$96$	$2$	$1$	$16$	$2$	$0$	$39287808$	$2.961597$	$-10096027515422913423969/1328135939293184$	$0.98258$	$4.95246$	$[0, 0, 0, -28817452, -59549872688]$	\(y^2=x^3-28817452x-59549872688\)	7.24.0.a.1, 56.48.0-7.a.1.2, 21532.48.0.?, 43064.96.2.?	$[]$
344512.y1	344512y1	344512.y	344512y	$2$	$7$	\( 2^{6} \cdot 7 \cdot 769 \)	\( - 2^{39} \cdot 7^{7} \cdot 769 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$43064$	$96$	$2$	$1$	$1$		$0$	$39287808$	$2.961597$	$-10096027515422913423969/1328135939293184$	$0.98258$	$4.95246$	$[0, 0, 0, -28817452, 59549872688]$	\(y^2=x^3-28817452x+59549872688\)	7.24.0.a.1, 56.48.0-7.a.1.1, 10766.48.0.?, 43064.96.2.?	$[]$