Elliptic curve search results

Results (8 matches)

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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
244608.o1	244608o2	244608.o	244608o	$2$	$2$	\( 2^{7} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{8} \cdot 7^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$4.744154013$	$1$		$3$	$2752512$	$2.120350$	$2172747904/1108809$	$0.93828$	$3.92640$	$[0, -1, 0, -235069, -15000635]$	\(y^2=x^3-x^2-235069x-15000635\)	2.3.0.a.1, 8.6.0.e.1, 28.6.0.a.1, 56.12.0.bf.1	$[(10303, 1044576)]$
244608.w1	244608w1	244608.w	244608w	$2$	$2$	\( 2^{7} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{8} \cdot 7^{3} \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$2.694838290$	$1$		$13$	$196608$	$0.800819$	$2172747904/1108809$	$0.93828$	$2.65020$	$[0, -1, 0, -1199, 5895]$	\(y^2=x^3-x^2-1199x+5895\)	2.3.0.a.1, 8.6.0.e.1, 28.6.0.a.1, 56.12.0.bf.1	$[(-2, 91), (37, 104)]$
244608.cg1	244608cg1	244608.cg	244608cg	$2$	$2$	\( 2^{7} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{8} \cdot 7^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$1$	$1$		$1$	$1376256$	$1.773775$	$2172747904/1108809$	$0.93828$	$3.59121$	$[0, -1, 0, -58767, 1904463]$	\(y^2=x^3-x^2-58767x+1904463\)	2.3.0.a.1, 8.6.0.e.1, 28.6.0.a.1, 56.12.0.bf.1	$[ ]$
244608.cn1	244608cn2	244608.cn	244608cn	$2$	$2$	\( 2^{7} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{8} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$1$	$1$		$1$	$393216$	$1.147394$	$2172747904/1108809$	$0.93828$	$2.98540$	$[0, -1, 0, -4797, -42363]$	\(y^2=x^3-x^2-4797x-42363\)	2.3.0.a.1, 8.6.0.e.1, 28.6.0.a.1, 56.12.0.bf.1	$[ ]$
244608.dq1	244608dq1	244608.dq	244608dq	$2$	$2$	\( 2^{7} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{8} \cdot 7^{3} \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$1.098234635$	$1$		$17$	$196608$	$0.800819$	$2172747904/1108809$	$0.93828$	$2.65020$	$[0, 1, 0, -1199, -5895]$	\(y^2=x^3+x^2-1199x-5895\)	2.3.0.a.1, 8.6.0.e.1, 28.6.0.a.1, 56.12.0.bf.1	$[(-11, 78), (67, 468)]$
244608.dx1	244608dx2	244608.dx	244608dx	$2$	$2$	\( 2^{7} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{8} \cdot 7^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$1$	$1$		$1$	$2752512$	$2.120350$	$2172747904/1108809$	$0.93828$	$3.92640$	$[0, 1, 0, -235069, 15000635]$	\(y^2=x^3+x^2-235069x+15000635\)	2.3.0.a.1, 8.6.0.e.1, 28.6.0.a.1, 56.12.0.bf.1	$[ ]$
244608.fh1	244608fh2	244608.fh	244608fh	$2$	$2$	\( 2^{7} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{14} \cdot 3^{8} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$1.054944243$	$1$		$5$	$393216$	$1.147394$	$2172747904/1108809$	$0.93828$	$2.98540$	$[0, 1, 0, -4797, 42363]$	\(y^2=x^3+x^2-4797x+42363\)	2.3.0.a.1, 8.6.0.e.1, 28.6.0.a.1, 56.12.0.bf.1	$[(-18, 351)]$
244608.fp1	244608fp1	244608.fp	244608fp	$2$	$2$	\( 2^{7} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{8} \cdot 7^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.3	2B	$56$	$12$	$0$	$1$	$1$		$1$	$1376256$	$1.773775$	$2172747904/1108809$	$0.93828$	$3.59121$	$[0, 1, 0, -58767, -1904463]$	\(y^2=x^3+x^2-58767x-1904463\)	2.3.0.a.1, 8.6.0.e.1, 28.6.0.a.1, 56.12.0.bf.1	$[ ]$

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