Elliptic curve search results

Results (11 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	Manin constant
3387.a1	3387a1	3387.a	3387a	$1$	$1$	\( 3 \cdot 1129 \)	\( - 3^{3} \cdot 1129 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$6774$	$2$	$0$	$1$	$1$		$0$	$240$	$-0.448635$	$-18609625/30483$	$0.77137$	$2.22476$	$[1, 1, 0, -5, -12]$	\(y^2+xy=x^3+x^2-5x-12\)	6774.2.0.?	$[ ]$	$1$
10161.a1	10161a1	10161.a	10161a	$1$	$1$	\( 3^{2} \cdot 1129 \)	\( - 3^{9} \cdot 1129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6774$	$2$	$0$	$0.311421586$	$1$		$6$	$1920$	$0.100671$	$-18609625/30483$	$0.77137$	$2.67429$	$[1, -1, 1, -50, 276]$	\(y^2+xy+y=x^3-x^2-50x+276\)	6774.2.0.?	$[(2, 12)]$	$1$
54192.ba1	54192bg1	54192.ba	54192bg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 1129 \)	\( - 2^{12} \cdot 3^{3} \cdot 1129 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6774$	$2$	$0$	$0.568655226$	$1$		$12$	$15360$	$0.244512$	$-18609625/30483$	$0.77137$	$2.42195$	$[0, 1, 0, -88, 596]$	\(y^2=x^3+x^2-88x+596\)	6774.2.0.?	$[(-10, 24), (14, 48)]$	$1$
84675.f1	84675i1	84675.f	84675i	$1$	$1$	\( 3 \cdot 5^{2} \cdot 1129 \)	\( - 3^{3} \cdot 5^{6} \cdot 1129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6774$	$2$	$0$	$1.612668294$	$1$		$2$	$34560$	$0.356084$	$-18609625/30483$	$0.77137$	$2.44469$	$[1, 0, 0, -138, -1233]$	\(y^2+xy=x^3-138x-1233\)	6774.2.0.?	$[(17, 29)]$	$1$
162576.w1	162576m1	162576.w	162576m	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 1129 \)	\( - 2^{12} \cdot 3^{9} \cdot 1129 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6774$	$2$	$0$	$1$	$1$		$0$	$122880$	$0.793818$	$-18609625/30483$	$0.77137$	$2.74955$	$[0, 0, 0, -795, -16886]$	\(y^2=x^3-795x-16886\)	6774.2.0.?	$[ ]$	$1$
165963.e1	165963e1	165963.e	165963e	$1$	$1$	\( 3 \cdot 7^{2} \cdot 1129 \)	\( - 3^{3} \cdot 7^{6} \cdot 1129 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6774$	$2$	$0$	$1$	$1$		$0$	$90720$	$0.524320$	$-18609625/30483$	$0.77137$	$2.47578$	$[1, 0, 1, -271, 3329]$	\(y^2+xy+y=x^3-271x+3329\)	6774.2.0.?	$[ ]$	$1$
216768.v1	216768bh1	216768.v	216768bh	$1$	$1$	\( 2^{6} \cdot 3 \cdot 1129 \)	\( - 2^{18} \cdot 3^{3} \cdot 1129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6774$	$2$	$0$	$3.232048893$	$1$		$2$	$122880$	$0.591085$	$-18609625/30483$	$0.77137$	$2.48717$	$[0, -1, 0, -353, 5121]$	\(y^2=x^3-x^2-353x+5121\)	6774.2.0.?	$[(43, 260)]$	$1$
216768.cf1	216768bv1	216768.cf	216768bv	$1$	$1$	\( 2^{6} \cdot 3 \cdot 1129 \)	\( - 2^{18} \cdot 3^{3} \cdot 1129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6774$	$2$	$0$	$2.216036398$	$1$		$2$	$122880$	$0.591085$	$-18609625/30483$	$0.77137$	$2.48717$	$[0, 1, 0, -353, -5121]$	\(y^2=x^3+x^2-353x-5121\)	6774.2.0.?	$[(25, 48)]$	$1$
254025.j1	254025j1	254025.j	254025j	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 1129 \)	\( - 3^{9} \cdot 5^{6} \cdot 1129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6774$	$2$	$0$	$2.531927054$	$1$		$2$	$276480$	$0.905390$	$-18609625/30483$	$0.77137$	$2.75854$	$[1, -1, 0, -1242, 33291]$	\(y^2+xy=x^3-x^2-1242x+33291\)	6774.2.0.?	$[(174, 2163)]$	$1$
409827.a1	409827a1	409827.a	409827a	$1$	$1$	\( 3 \cdot 11^{2} \cdot 1129 \)	\( - 3^{3} \cdot 11^{6} \cdot 1129 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6774$	$2$	$0$	$1$	$1$		$0$	$285600$	$0.750313$	$-18609625/30483$	$0.77137$	$2.51244$	$[1, 1, 1, -668, 12728]$	\(y^2+xy+y=x^3+x^2-668x+12728\)	6774.2.0.?	$[ ]$	$1$
497889.h1	497889h1	497889.h	497889h	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 1129 \)	\( - 3^{9} \cdot 7^{6} \cdot 1129 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6774$	$2$	$0$	$1$	$1$		$0$	$725760$	$1.073626$	$-18609625/30483$	$0.77137$	$2.77092$	$[1, -1, 1, -2435, -89890]$	\(y^2+xy+y=x^3-x^2-2435x-89890\)	6774.2.0.?	$[ ]$	$1$

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