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
8001.b1	8001b1	8001.b	8001b	$1$	$1$	\( 3^{2} \cdot 7 \cdot 127 \)	\( 3^{3} \cdot 7^{2} \cdot 127 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$762$	$2$	$0$	$0.230432249$	$1$		$16$	$1216$	$-0.232855$	$147197952/6223$	$0.73150$	$2.45937$	$[0, 0, 1, -33, 70]$	\(y^2+y=x^3-33x+70\)	762.2.0.?	$[(2, 3), (-5, 10)]$
8001.g1	8001a1	8001.g	8001a	$1$	$1$	\( 3^{2} \cdot 7 \cdot 127 \)	\( 3^{9} \cdot 7^{2} \cdot 127 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$762$	$2$	$0$	$1$	$1$		$0$	$3648$	$0.316452$	$147197952/6223$	$0.73150$	$3.19281$	$[0, 0, 1, -297, -1897]$	\(y^2+y=x^3-297x-1897\)	762.2.0.?	$[ ]$
56007.d1	56007l1	56007.d	56007l	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 127 \)	\( 3^{3} \cdot 7^{8} \cdot 127 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$762$	$2$	$0$	$1.153874734$	$1$		$4$	$58368$	$0.740100$	$147197952/6223$	$0.73150$	$3.08953$	$[0, 0, 1, -1617, -24096]$	\(y^2+y=x^3-1617x-24096\)	762.2.0.?	$[(-21, 24)]$
56007.q1	56007k1	56007.q	56007k	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 127 \)	\( 3^{9} \cdot 7^{8} \cdot 127 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$762$	$2$	$0$	$4.084368735$	$1$		$0$	$175104$	$1.289406$	$147197952/6223$	$0.73150$	$3.69244$	$[0, 0, 1, -14553, 650585]$	\(y^2+y=x^3-14553x+650585\)	762.2.0.?	$[(345/2, 1535/2)]$
128016.r1	128016r1	128016.r	128016r	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 127 \)	\( 2^{12} \cdot 3^{3} \cdot 7^{2} \cdot 127 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$762$	$2$	$0$	$1.604879041$	$1$		$2$	$48640$	$0.460292$	$147197952/6223$	$0.73150$	$2.58683$	$[0, 0, 0, -528, -4496]$	\(y^2=x^3-528x-4496\)	762.2.0.?	$[(-15, 7)]$
128016.bc1	128016q1	128016.bc	128016q	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 127 \)	\( 2^{12} \cdot 3^{9} \cdot 7^{2} \cdot 127 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$762$	$2$	$0$	$2.334254486$	$1$		$2$	$145920$	$1.009598$	$147197952/6223$	$0.73150$	$3.14735$	$[0, 0, 0, -4752, 121392]$	\(y^2=x^3-4752x+121392\)	762.2.0.?	$[(57, 189)]$
200025.f1	200025e1	200025.f	200025e	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 127 \)	\( 3^{9} \cdot 5^{6} \cdot 7^{2} \cdot 127 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$762$	$2$	$0$	$3.511090062$	$1$		$10$	$510720$	$1.121170$	$147197952/6223$	$0.73150$	$3.14196$	$[0, 0, 1, -7425, -237094]$	\(y^2+y=x^3-7425x-237094\)	762.2.0.?	$[(-51, 94), (-44, 66)]$
200025.ce1	200025cg1	200025.ce	200025cg	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 127 \)	\( 3^{3} \cdot 5^{6} \cdot 7^{2} \cdot 127 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$762$	$2$	$0$	$1$	$1$		$0$	$170240$	$0.571864$	$147197952/6223$	$0.73150$	$2.60194$	$[0, 0, 1, -825, 8781]$	\(y^2+y=x^3-825x+8781\)	762.2.0.?	$[ ]$

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