Elliptic curve search results

Results (6 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
50350.a1	50350e1	50350.a	50350e	$1$	$1$	\( 2 \cdot 5^{2} \cdot 19 \cdot 53 \)	\( 2^{4} \cdot 5^{10} \cdot 19 \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4028$	$2$	$0$	$4.849321345$	$1$		$0$	$247680$	$1.383020$	$6007345507825/16112$	$0.87149$	$4.20425$	$[1, 0, 1, -80951, -8871702]$	\(y^2+xy+y=x^3-80951x-8871702\)	4028.2.0.?	$[(-1478/3, 2299/3)]$
50350.p1	50350p1	50350.p	50350p	$1$	$1$	\( 2 \cdot 5^{2} \cdot 19 \cdot 53 \)	\( 2^{4} \cdot 5^{4} \cdot 19 \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4028$	$2$	$0$	$1$	$4$	$2$	$0$	$49536$	$0.578301$	$6007345507825/16112$	$0.87149$	$3.31233$	$[1, 1, 1, -3238, -72269]$	\(y^2+xy+y=x^3+x^2-3238x-72269\)	4028.2.0.?	$[ ]$
402800.a1	402800a1	402800.a	402800a	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 19 \cdot 53 \)	\( 2^{16} \cdot 5^{4} \cdot 19 \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4028$	$2$	$0$	$2.032041713$	$1$		$2$	$1188864$	$1.271448$	$6007345507825/16112$	$0.87149$	$3.42313$	$[0, 1, 0, -51808, 4521588]$	\(y^2=x^3+x^2-51808x+4521588\)	4028.2.0.?	$[(132, 18)]$
402800.bj1	402800bj1	402800.bj	402800bj	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 19 \cdot 53 \)	\( 2^{16} \cdot 5^{10} \cdot 19 \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4028$	$2$	$0$	$11.64391326$	$1$		$0$	$5944320$	$2.076168$	$6007345507825/16112$	$0.87149$	$4.17134$	$[0, -1, 0, -1295208, 567788912]$	\(y^2=x^3-x^2-1295208x+567788912\)	4028.2.0.?	$[(2451818/61, 12855534/61)]$
453150.cg1	453150cg1	453150.cg	453150cg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \cdot 53 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 19 \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4028$	$2$	$0$	$0.280035954$	$1$		$8$	$1188864$	$1.127607$	$6007345507825/16112$	$0.87149$	$3.25964$	$[1, -1, 0, -29142, 1922116]$	\(y^2+xy=x^3-x^2-29142x+1922116\)	4028.2.0.?	$[(104, 38)]$
453150.di1	453150di1	453150.di	453150di	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \cdot 53 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{10} \cdot 19 \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4028$	$2$	$0$	$1$	$1$		$0$	$5944320$	$1.932327$	$6007345507825/16112$	$0.87149$	$4.00109$	$[1, -1, 1, -728555, 239535947]$	\(y^2+xy+y=x^3-x^2-728555x+239535947\)	4028.2.0.?	$[ ]$

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