Elliptic curve search results

Results (6 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
39270.bg3	39270bh6	39270.bg	39270bh	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{12} \cdot 3^{2} \cdot 5^{12} \cdot 7^{2} \cdot 11^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.6.0.1, 3.8.0.2	2Cs, 3B.1.2	$15708$	$384$	$5$	$1$	$9$	$3$	$2$	$7962624$	$3.371822$	$17266453047612484705388895049/1288004819409000000000000$	$1.00506$	$6.14646$	$[1, 0, 1, -53846789, -141949927888]$	\(y^2+xy+y=x^3-53846789x-141949927888\)	2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 12.96.0-12.a.1.15, 28.12.0-2.a.1.1, $\ldots$	$[]$
117810.ei3	117810el6	117810.ei	117810el	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{12} \cdot 3^{8} \cdot 5^{12} \cdot 7^{2} \cdot 11^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z\oplus\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.1, 3.8.0.1	2Cs, 3B.1.1	$15708$	$384$	$5$	$1$	$1$		$10$	$63700992$	$3.921131$	$17266453047612484705388895049/1288004819409000000000000$	$1.00506$	$6.13268$	$[1, -1, 1, -484621097, 3832648052969]$	\(y^2+xy+y=x^3-x^2-484621097x+3832648052969\)	2.6.0.a.1, 3.8.0-3.a.1.2, 4.12.0-2.a.1.1, 6.48.0-6.a.1.1, 12.96.0-12.a.1.7, $\ldots$	$[]$
196350.dv3	196350cv6	196350.dv	196350cv	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{12} \cdot 3^{2} \cdot 5^{18} \cdot 7^{2} \cdot 11^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$78540$	$384$	$5$	$1$	$1$		$2$	$191102976$	$4.176544$	$17266453047612484705388895049/1288004819409000000000000$	$1.00506$	$6.12712$	$[1, 1, 1, -1346169713, -17743740985969]$	\(y^2+xy+y=x^3+x^2-1346169713x-17743740985969\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 15.8.0-3.a.1.1, $\ldots$	$[]$
274890.bj3	274890bj6	274890.bj	274890bj	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{12} \cdot 3^{2} \cdot 5^{12} \cdot 7^{8} \cdot 11^{2} \cdot 17^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.1, 3.4.0.1	2Cs, 3B	$15708$	$384$	$5$	$1.184783083$	$1$		$10$	$382205952$	$4.344780$	$17266453047612484705388895049/1288004819409000000000000$	$1.00506$	$6.12370$	$[1, 1, 0, -2638492637, 48686186772861]$	\(y^2+xy=x^3+x^2-2638492637x+48686186772861\)	2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.1.1, $\ldots$	$[(41537, 3259169)]$
314160.o3	314160o6	314160.o	314160o	$8$	$12$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \)	\( 2^{24} \cdot 3^{2} \cdot 5^{12} \cdot 7^{2} \cdot 11^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$15708$	$384$	$5$	$1$	$4$	$2$	$3$	$191102976$	$4.064972$	$17266453047612484705388895049/1288004819409000000000000$	$1.00506$	$5.79383$	$[0, -1, 0, -861548616, 9084795384816]$	\(y^2=x^3-x^2-861548616x+9084795384816\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.1.3, 28.12.0-2.a.1.1, $\ldots$	$[]$
431970.gf3	431970gf6	431970.gf	431970gf	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17 \)	\( 2^{12} \cdot 3^{2} \cdot 5^{12} \cdot 7^{2} \cdot 11^{8} \cdot 17^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$15708$	$384$	$5$	$3.846974050$	$1$		$6$	$955514880$	$4.570770$	$17266453047612484705388895049/1288004819409000000000000$	$1.00506$	$6.11939$	$[1, 0, 0, -6515461411, 188928838557185]$	\(y^2+xy=x^3-6515461411x+188928838557185\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 33.8.0-3.a.1.1, $\ldots$	$[(60224, 3839105)]$