Elliptic curve search results

Results (10 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
39710.k1	39710j1	39710.k	39710j	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 19^{2} \)	\( - 2 \cdot 5^{5} \cdot 11^{7} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8360$	$2$	$0$	$1$	$1$		$0$	$224000$	$1.545818$	$-13856857998859/121794818750$	$0.97533$	$3.95467$	$[1, 0, 1, -9508, -1436444]$	\(y^2+xy+y=x^3-9508x-1436444\)	8360.2.0.?	$[ ]$	$1$
39710.u1	39710y1	39710.u	39710y	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 19^{2} \)	\( - 2 \cdot 5^{5} \cdot 11^{7} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8360$	$2$	$0$	$9.717359585$	$1$		$0$	$4256000$	$3.018040$	$-13856857998859/121794818750$	$0.97533$	$5.62301$	$[1, 1, 1, -3432215, 9845703255]$	\(y^2+xy+y=x^3+x^2-3432215x+9845703255\)	8360.2.0.?	$[(619189/20, 720220223/20)]$	$1$
198550.ba1	198550cw1	198550.ba	198550cw	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \)	\( - 2 \cdot 5^{11} \cdot 11^{7} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8360$	$2$	$0$	$14.21702029$	$1$		$0$	$102144000$	$3.822758$	$-13856857998859/121794818750$	$0.97533$	$5.67275$	$[1, 0, 1, -85805376, 1230884517648]$	\(y^2+xy+y=x^3-85805376x+1230884517648\)	8360.2.0.?	$[(113680956/41, 1200760709776/41)]$	$1$
198550.cb1	198550o1	198550.cb	198550o	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \)	\( - 2 \cdot 5^{11} \cdot 11^{7} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8360$	$2$	$0$	$1$	$9$	$3$	$0$	$5376000$	$2.350536$	$-13856857998859/121794818750$	$0.97533$	$4.22452$	$[1, 1, 1, -237688, -179555469]$	\(y^2+xy+y=x^3+x^2-237688x-179555469\)	8360.2.0.?	$[ ]$	$1$
317680.v1	317680v1	317680.v	317680v	$1$	$1$	\( 2^{4} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( - 2^{13} \cdot 5^{5} \cdot 11^{7} \cdot 19^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8360$	$2$	$0$	$0.180940959$	$1$		$22$	$5376000$	$2.238964$	$-13856857998859/121794818750$	$0.97533$	$3.96211$	$[0, -1, 0, -152120, 91932400]$	\(y^2=x^3-x^2-152120x+91932400\)	8360.2.0.?	$[(260, 8360), (-268, 10648)]$	$1$
317680.ca1	317680ca1	317680.ca	317680ca	$1$	$1$	\( 2^{4} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( - 2^{13} \cdot 5^{5} \cdot 11^{7} \cdot 19^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8360$	$2$	$0$	$1$	$1$		$0$	$102144000$	$3.711185$	$-13856857998859/121794818750$	$0.97533$	$5.35661$	$[0, 1, 0, -54915440, -630234839212]$	\(y^2=x^3+x^2-54915440x-630234839212\)	8360.2.0.?	$[ ]$	$1$
357390.bc1	357390bc1	357390.bc	357390bc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( - 2 \cdot 3^{6} \cdot 5^{5} \cdot 11^{7} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8360$	$2$	$0$	$18.84277556$	$1$		$0$	$127680000$	$3.567345$	$-13856857998859/121794818750$	$0.97533$	$5.17227$	$[1, -1, 0, -30889935, -265864877825]$	\(y^2+xy=x^3-x^2-30889935x-265864877825\)	8360.2.0.?	$[(76021254009/2225, 18610642841998327/2225)]$	$1$
357390.dd1	357390dd1	357390.dd	357390dd	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( - 2 \cdot 3^{6} \cdot 5^{5} \cdot 11^{7} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8360$	$2$	$0$	$1$	$1$		$0$	$6720000$	$2.095123$	$-13856857998859/121794818750$	$0.97533$	$3.79062$	$[1, -1, 1, -85568, 38783981]$	\(y^2+xy+y=x^3-x^2-85568x+38783981\)	8360.2.0.?	$[ ]$	$1$
436810.k1	436810k1	436810.k	436810k	$1$	$1$	\( 2 \cdot 5 \cdot 11^{2} \cdot 19^{2} \)	\( - 2 \cdot 5^{5} \cdot 11^{13} \cdot 19^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8360$	$2$	$0$	$4.185409640$	$1$		$0$	$510720000$	$4.216988$	$-13856857998859/121794818750$	$0.97533$	$5.69261$	$[1, 1, 0, -415298017, -13106707522729]$	\(y^2+xy=x^3+x^2-415298017x-13106707522729\)	8360.2.0.?	$[(13097317/9, 46888636456/9)]$	$1$
436810.cg1	436810cg1	436810.cg	436810cg	$1$	$1$	\( 2 \cdot 5 \cdot 11^{2} \cdot 19^{2} \)	\( - 2 \cdot 5^{5} \cdot 11^{13} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$8360$	$2$	$0$	$1$	$1$		$0$	$26880000$	$2.744766$	$-13856857998859/121794818750$	$0.97533$	$4.33231$	$[1, 0, 0, -1150410, 1910756222]$	\(y^2+xy=x^3-1150410x+1910756222\)	8360.2.0.?	$[ ]$	$1$

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