Elliptic curve search results

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
6699.c1	6699a3	6699.c	6699a	$4$	$4$	\( 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 3^{12} \cdot 7 \cdot 11 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$53592$	$48$	$0$	$6.548206615$	$1$		$0$	$6144$	$0.926445$	$187519537050946633/1186707753$	$0.93261$	$4.51464$	$[1, 1, 0, -11924, 496227]$	\(y^2+xy=x^3+x^2-11924x+496227\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.1, 264.24.0.?, $\ldots$	$[(19229/4, 2618747/4)]$
20097.c1	20097j3	20097.c	20097j	$4$	$4$	\( 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( 3^{18} \cdot 7 \cdot 11 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$53592$	$48$	$0$	$1$	$4$	$2$	$0$	$49152$	$1.475752$	$187519537050946633/1186707753$	$0.93261$	$4.67933$	$[1, -1, 1, -107321, -13505448]$	\(y^2+xy+y=x^3-x^2-107321x-13505448\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 264.24.0.?, $\ldots$	$[]$
46893.o1	46893i4	46893.o	46893i	$4$	$4$	\( 3 \cdot 7^{2} \cdot 11 \cdot 29 \)	\( 3^{12} \cdot 7^{7} \cdot 11 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$6.069570278$	$1$		$0$	$294912$	$1.899401$	$187519537050946633/1186707753$	$0.93261$	$4.78337$	$[1, 0, 1, -584302, -171958741]$	\(y^2+xy+y=x^3-584302x-171958741\)	2.3.0.a.1, 4.6.0.c.1, 116.12.0.?, 168.12.0.?, 264.12.0.?, $\ldots$	$[(6331/2, 422155/2)]$
73689.e1	73689s4	73689.e	73689s	$4$	$4$	\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 3^{12} \cdot 7 \cdot 11^{7} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$53592$	$48$	$0$	$1$	$4$	$2$	$0$	$737280$	$2.125393$	$187519537050946633/1186707753$	$0.93261$	$4.83243$	$[1, 1, 1, -1442867, -667692376]$	\(y^2+xy+y=x^3+x^2-1442867x-667692376\)	2.3.0.a.1, 4.12.0-4.c.1.2, 264.24.0.?, 4466.6.0.?, 4872.24.0.?, $\ldots$	$[]$
107184.cr1	107184cv4	107184.cr	107184cv	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{12} \cdot 3^{12} \cdot 7 \cdot 11 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$3.990307179$	$1$		$3$	$393216$	$1.619593$	$187519537050946633/1186707753$	$0.93261$	$4.15206$	$[0, 1, 0, -190792, -32140108]$	\(y^2=x^3+x^2-190792x-32140108\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.2, 264.24.0.?, $\ldots$	$[(1772, 72090)]$
140679.o1	140679i3	140679.o	140679i	$4$	$4$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \)	\( 3^{18} \cdot 7^{7} \cdot 11 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$7.370439845$	$1$		$0$	$2359296$	$2.448708$	$187519537050946633/1186707753$	$0.93261$	$4.89612$	$[1, -1, 1, -5258714, 4642886000]$	\(y^2+xy+y=x^3-x^2-5258714x+4642886000\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 264.12.0.?, 348.12.0.?, $\ldots$	$[(5707/2, 46629/2)]$
167475.n1	167475h3	167475.n	167475h	$4$	$4$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( 3^{12} \cdot 5^{6} \cdot 7 \cdot 11 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$267960$	$48$	$0$	$1.546514130$	$1$		$4$	$786432$	$1.731165$	$187519537050946633/1186707753$	$0.93261$	$4.10932$	$[1, 0, 0, -298113, 62624592]$	\(y^2+xy=x^3-298113x+62624592\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 220.12.0.?, 264.12.0.?, $\ldots$	$[(336, 480)]$
194271.i1	194271d3	194271.i	194271d	$4$	$4$	\( 3 \cdot 7 \cdot 11 \cdot 29^{2} \)	\( 3^{12} \cdot 7 \cdot 11 \cdot 29^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$2.204608864$	$1$		$2$	$5160960$	$2.610092$	$187519537050946633/1186707753$	$0.93261$	$4.92538$	$[1, 0, 0, -10028522, 12222820803]$	\(y^2+xy=x^3-10028522x+12222820803\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 264.12.0.?, 696.12.0.?, $\ldots$	$[(766, 70261)]$
221067.z1	221067y3	221067.z	221067y	$4$	$4$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( 3^{18} \cdot 7 \cdot 11^{7} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$1$	$1$		$0$	$5898240$	$2.674698$	$187519537050946633/1186707753$	$0.93261$	$4.93667$	$[1, -1, 0, -12985803, 18014708344]$	\(y^2+xy=x^3-x^2-12985803x+18014708344\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 264.24.0.?, $\ldots$	$[]$
321552.bw1	321552bw3	321552.bw	321552bw	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{12} \cdot 3^{18} \cdot 7 \cdot 11 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$53592$	$48$	$0$	$3.767635050$	$1$		$5$	$3145728$	$2.168900$	$187519537050946633/1186707753$	$0.93261$	$4.31216$	$[0, 0, 0, -1717131, 866065786]$	\(y^2=x^3-1717131x+866065786\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 264.24.0.?, $\ldots$	$[(759, 94)]$
428736.bj1	428736bj4	428736.bj	428736bj	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{18} \cdot 3^{12} \cdot 7 \cdot 11 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$1$	$4$	$2$	$1$	$3145728$	$1.966166$	$187519537050946633/1186707753$	$0.93261$	$4.02891$	$[0, -1, 0, -763169, -256357695]$	\(y^2=x^3-x^2-763169x-256357695\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 88.12.0.?, 264.24.0.?, $\ldots$	$[]$
428736.fh1	428736fh3	428736.fh	428736fh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( 2^{18} \cdot 3^{12} \cdot 7 \cdot 11 \cdot 29 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$53592$	$48$	$0$	$2.815794541$	$1$		$13$	$3145728$	$1.966166$	$187519537050946633/1186707753$	$0.93261$	$4.02891$	$[0, 1, 0, -763169, 256357695]$	\(y^2=x^3+x^2-763169x+256357695\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 88.12.0.?, 264.24.0.?, $\ldots$	$[(499, 192), (514, 387)]$