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.e2	10766h2	10766.e	10766h	$2$	$7$	\( 2 \cdot 7 \cdot 769 \)	\( - 2^{3} \cdot 7 \cdot 769^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$43064$	$96$	$2$	$21.63805188$	$1$		$0$	$1432368$	$2.894833$	$2656605299081089600290591/8905789086154159331384$	$1.01980$	$6.22633$	$[1, -1, 1, 2885367, -4130671167]$	\(y^2+xy+y=x^3-x^2+2885367x-4130671167\)	7.48.0-7.a.2.2, 43064.96.2.?	$[(2386419511/330, 116510088021719/330)]$
75362.n2	75362n2	75362.n	75362n	$2$	$7$	\( 2 \cdot 7^{2} \cdot 769 \)	\( - 2^{3} \cdot 7^{7} \cdot 769^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.2	7B.1.4	$43064$	$96$	$2$	$1$	$4$	$2$	$0$	$68753664$	$3.867786$	$2656605299081089600290591/8905789086154159331384$	$1.01980$	$6.18712$	$[1, -1, 1, 141382998, 1416537444193]$	\(y^2+xy+y=x^3-x^2+141382998x+1416537444193\)	7.48.0-7.a.2.1, 43064.96.2.?	$[]$
86128.l2	86128g2	86128.l	86128g	$2$	$7$	\( 2^{4} \cdot 7 \cdot 769 \)	\( - 2^{15} \cdot 7 \cdot 769^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$43064$	$96$	$2$	$1$	$25$	$5$	$0$	$34376832$	$3.587978$	$2656605299081089600290591/8905789086154159331384$	$1.01980$	$5.81893$	$[0, 0, 0, 46165877, 264316788794]$	\(y^2=x^3+46165877x+264316788794\)	7.24.0.a.2, 28.48.0-7.a.2.1, 43064.96.2.?	$[]$
96894.f2	96894d2	96894.f	96894d	$2$	$7$	\( 2 \cdot 3^{2} \cdot 7 \cdot 769 \)	\( - 2^{3} \cdot 3^{6} \cdot 7 \cdot 769^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$129192$	$96$	$2$	$82.32746471$	$1$		$0$	$20053152$	$3.444138$	$2656605299081089600290591/8905789086154159331384$	$1.01980$	$5.60890$	$[1, -1, 0, 25968306, 111502153196]$	\(y^2+xy=x^3-x^2+25968306x+111502153196\)	7.24.0.a.2, 21.48.0-7.a.2.2, 43064.48.2.?, 129192.96.2.?	$[(339184036409050042853441767660152031/6950481084788955, 267418730069413359466411969707287943119810943269661056/6950481084788955)]$
269150.f2	269150f2	269150.f	269150f	$2$	$7$	\( 2 \cdot 5^{2} \cdot 7 \cdot 769 \)	\( - 2^{3} \cdot 5^{6} \cdot 7 \cdot 769^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$215320$	$96$	$2$	$400.4422592$	$1$		$0$	$200531520$	$3.699551$	$2656605299081089600290591/8905789086154159331384$	$1.01980$	$5.39572$	$[1, -1, 0, 72134183, -516261761659]$	\(y^2+xy=x^3-x^2+72134183x-516261761659\)	7.24.0.a.2, 35.48.0-7.a.2.1, 43064.48.2.?, 215320.96.2.?	$[(630840746178397175943120446590365646254027832765592174345534097602400983509684799504791858033041796547149991414394974931981406279590418684245799069940039613697284863406255397/5584124348611206773060916512658462843449937496656752444162293872841756560543128237883, 527042712253768532775153525333193461683868406606910033747522449973691108735588455049299954896368549501347950945785808535077209117446231226497517814490990901323475362293955591431950782582613354184172701279668808253429104237092918626992586868937094116886965474916/5584124348611206773060916512658462843449937496656752444162293872841756560543128237883)]$
344512.b2	344512b2	344512.b	344512b	$2$	$7$	\( 2^{6} \cdot 7 \cdot 769 \)	\( - 2^{21} \cdot 7 \cdot 769^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$43064$	$96$	$2$	$1$	$16$	$2$	$0$	$275014656$	$3.934551$	$2656605299081089600290591/8905789086154159331384$	$1.01980$	$5.51243$	$[0, 0, 0, 184663508, 2114534310352]$	\(y^2=x^3+184663508x+2114534310352\)	7.24.0.a.2, 56.48.0-7.a.2.2, 21532.48.0.?, 43064.96.2.?	$[]$
344512.y2	344512y2	344512.y	344512y	$2$	$7$	\( 2^{6} \cdot 7 \cdot 769 \)	\( - 2^{21} \cdot 7 \cdot 769^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$43064$	$96$	$2$	$1$	$49$	$7$	$0$	$275014656$	$3.934551$	$2656605299081089600290591/8905789086154159331384$	$1.01980$	$5.51243$	$[0, 0, 0, 184663508, -2114534310352]$	\(y^2=x^3+184663508x-2114534310352\)	7.24.0.a.2, 56.48.0-7.a.2.1, 10766.48.0.?, 43064.96.2.?	$[]$