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
27930.w1	27930s1	27930.w	27930s	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3^{2} \cdot 5^{3} \cdot 7^{3} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$0.266174122$	$1$		$6$	$9984$	$0.058875$	$16974593/42750$	$0.83124$	$2.31449$	$[1, 1, 0, 38, -146]$	\(y^2+xy=x^3+x^2+38x-146\)	5320.2.0.?	$[(13, 46)]$
27930.bj1	27930bk1	27930.bj	27930bk	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3^{2} \cdot 5^{3} \cdot 7^{9} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$1$	$1$		$0$	$69888$	$1.031830$	$16974593/42750$	$0.83124$	$3.45495$	$[1, 0, 1, 1836, 55612]$	\(y^2+xy+y=x^3+1836x+55612\)	5320.2.0.?	$[ ]$
83790.cu1	83790ea1	83790.cu	83790ea	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$1$	$1$		$0$	$79872$	$0.608182$	$16974593/42750$	$0.83124$	$2.67166$	$[1, -1, 1, 337, 4281]$	\(y^2+xy+y=x^3-x^2+337x+4281\)	5320.2.0.?	$[ ]$
83790.eo1	83790fu1	83790.eo	83790fu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3^{8} \cdot 5^{3} \cdot 7^{9} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$1$	$1$		$0$	$559104$	$1.581137$	$16974593/42750$	$0.83124$	$3.70160$	$[1, -1, 1, 16528, -1501531]$	\(y^2+xy+y=x^3-x^2+16528x-1501531\)	5320.2.0.?	$[ ]$
139650.gq1	139650et1	139650.gq	139650et	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3^{2} \cdot 5^{9} \cdot 7^{9} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$1$	$1$		$0$	$1677312$	$1.836550$	$16974593/42750$	$0.83124$	$3.80071$	$[1, 1, 1, 45912, 6951531]$	\(y^2+xy+y=x^3+x^2+45912x+6951531\)	5320.2.0.?	$[ ]$
139650.jo1	139650cp1	139650.jo	139650cp	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3^{2} \cdot 5^{9} \cdot 7^{3} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$1$	$1$		$0$	$239616$	$0.863594$	$16974593/42750$	$0.83124$	$2.81518$	$[1, 0, 0, 937, -20133]$	\(y^2+xy=x^3+937x-20133\)	5320.2.0.?	$[ ]$
223440.f1	223440eh1	223440.f	223440eh	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{13} \cdot 3^{2} \cdot 5^{3} \cdot 7^{9} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$1.252149342$	$1$		$4$	$1677312$	$1.724977$	$16974593/42750$	$0.83124$	$3.54697$	$[0, -1, 0, 29384, -3559184]$	\(y^2=x^3-x^2+29384x-3559184\)	5320.2.0.?	$[(180, 2744)]$
223440.fm1	223440c1	223440.fm	223440c	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{13} \cdot 3^{2} \cdot 5^{3} \cdot 7^{3} \cdot 19 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$0.454289999$	$1$		$16$	$239616$	$0.752023$	$16974593/42750$	$0.83124$	$2.59905$	$[0, 1, 0, 600, 10548]$	\(y^2=x^3+x^2+600x+10548\)	5320.2.0.?	$[(6, 120), (86, 840)]$
418950.n1	418950n1	418950.n	418950n	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3^{8} \cdot 5^{9} \cdot 7^{9} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$1$	$1$		$0$	$13418496$	$2.385857$	$16974593/42750$	$0.83124$	$3.98735$	$[1, -1, 0, 413208, -187278134]$	\(y^2+xy=x^3-x^2+413208x-187278134\)	5320.2.0.?	$[ ]$
418950.q1	418950q1	418950.q	418950q	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3^{8} \cdot 5^{9} \cdot 7^{3} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$5320$	$2$	$0$	$1.230108505$	$1$		$4$	$1916928$	$1.412901$	$16974593/42750$	$0.83124$	$3.08546$	$[1, -1, 0, 8433, 543591]$	\(y^2+xy=x^3-x^2+8433x+543591\)	5320.2.0.?	$[(9, 783)]$

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