Elliptic curve search results

Results (11 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
14586.e3	14586h1	14586.e	14586h	$4$	$6$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{3} \cdot 11^{3} \cdot 13^{2} \cdot 17^{6} \)	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$2244$	$96$	$1$	$1.864226071$	$1$		$9$	$152064$	$1.882759$	$111675519439697265625/37528570137307392$	$1.12088$	$4.81467$	$[1, 0, 1, -100326, 7911736]$	\(y^2+xy+y=x^3-100326x+7911736\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 66.48.0-66.b.1.4, 68.6.0.b.1, $\ldots$	$[(-340, 1827)]$
43758.n3	43758t1	43758.n	43758t	$4$	$6$	\( 2 \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{9} \cdot 11^{3} \cdot 13^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$2244$	$96$	$1$	$1$	$1$		$1$	$1216512$	$2.432064$	$111675519439697265625/37528570137307392$	$1.12088$	$4.93652$	$[1, -1, 1, -902930, -213616879]$	\(y^2+xy+y=x^3-x^2-902930x-213616879\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 66.48.0-66.b.1.3, 68.6.0.b.1, $\ldots$	$[]$
116688.h3	116688m1	116688.h	116688m	$4$	$6$	\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( 2^{20} \cdot 3^{3} \cdot 11^{3} \cdot 13^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2244$	$96$	$1$	$1$	$1$		$1$	$3649536$	$2.575909$	$111675519439697265625/37528570137307392$	$1.12088$	$4.66947$	$[0, -1, 0, -1605208, -506351120]$	\(y^2=x^3-x^2-1605208x-506351120\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 66.24.0.b.1, $\ldots$	$[]$
160446.bo3	160446i1	160446.bo	160446i	$4$	$6$	\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{3} \cdot 11^{9} \cdot 13^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2244$	$96$	$1$	$1$	$1$		$1$	$18247680$	$3.081707$	$111675519439697265625/37528570137307392$	$1.12088$	$5.05181$	$[1, 0, 0, -12139388, -10542660336]$	\(y^2+xy=x^3-12139388x-10542660336\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 33.8.0-3.a.1.2, 66.48.0-66.b.1.1, $\ldots$	$[]$
189618.br3	189618j1	189618.br	189618j	$4$	$6$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{3} \cdot 11^{3} \cdot 13^{8} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$29172$	$96$	$1$	$1$	$1$		$1$	$25546752$	$3.165234$	$111675519439697265625/37528570137307392$	$1.12088$	$5.06484$	$[1, 0, 0, -16955013, 17399039553]$	\(y^2+xy=x^3-16955013x+17399039553\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 66.24.0.b.1, $\ldots$	$[]$
247962.f3	247962f1	247962.f	247962f	$4$	$6$	\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 11^{3} \cdot 13^{2} \cdot 17^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2244$	$96$	$1$	$1$	$4$	$2$	$1$	$43794432$	$3.299366$	$111675519439697265625/37528570137307392$	$1.12088$	$5.08504$	$[1, 1, 0, -28994075, 38899354269]$	\(y^2+xy=x^3+x^2-28994075x+38899354269\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 51.8.0-3.a.1.2, $\ldots$	$[]$
350064.br3	350064br1	350064.br	350064br	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( 2^{20} \cdot 3^{9} \cdot 11^{3} \cdot 13^{2} \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2244$	$96$	$1$	$2.218996043$	$1$		$3$	$29196288$	$3.125214$	$111675519439697265625/37528570137307392$	$1.12088$	$4.78397$	$[0, 0, 0, -14446875, 13685927114]$	\(y^2=x^3-14446875x+13685927114\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 66.24.0.b.1, $\ldots$	$[(4093, 152064)]$
364650.ey3	364650ey1	364650.ey	364650ey	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 11^{3} \cdot 13^{2} \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$11220$	$96$	$1$	$1.995080752$	$1$		$3$	$21897216$	$2.687477$	$111675519439697265625/37528570137307392$	$1.12088$	$4.35856$	$[1, 1, 1, -2508138, 988967031]$	\(y^2+xy+y=x^3+x^2-2508138x+988967031\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[(-1375, 43587)]$
466752.ba3	466752ba1	466752.ba	466752ba	$4$	$6$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( 2^{26} \cdot 3^{3} \cdot 11^{3} \cdot 13^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$1$	$1$		$1$	$29196288$	$2.922482$	$111675519439697265625/37528570137307392$	$1.12088$	$4.49217$	$[0, -1, 0, -6420833, 4057229793]$	\(y^2=x^3-x^2-6420833x+4057229793\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 66.24.0.b.1, $\ldots$	$[]$
466752.dt3	466752dt1	466752.dt	466752dt	$4$	$6$	\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \)	\( 2^{26} \cdot 3^{3} \cdot 11^{3} \cdot 13^{2} \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$1.304777083$	$1$		$5$	$29196288$	$2.922482$	$111675519439697265625/37528570137307392$	$1.12088$	$4.49217$	$[0, 1, 0, -6420833, -4057229793]$	\(y^2=x^3+x^2-6420833x-4057229793\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 66.24.0.b.1, $\ldots$	$[(-1259, 45084)]$
481338.ba3	481338ba1	481338.ba	481338ba	$4$	$6$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{9} \cdot 11^{9} \cdot 13^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2244$	$96$	$1$	$1$	$1$		$1$	$145981440$	$3.631012$	$111675519439697265625/37528570137307392$	$1.12088$	$5.13142$	$[1, -1, 0, -109254492, 284651829072]$	\(y^2+xy=x^3-x^2-109254492x+284651829072\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 33.8.0-3.a.1.1, 66.48.0-66.b.1.2, $\ldots$	$[]$