Elliptic curve search results

Results (14 matches)

 

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
43680.n2	43680bi2	43680.n	43680bi	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$15360$	$0.198585$	$240641848/143325$	$0.84160$	$2.39008$	$[0, -1, 0, 104, -104]$	\(y^2=x^3-x^2+104x-104\)	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[]$
43680.bh2	43680n2	43680.bh	43680n	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1.215285420$	$1$		$5$	$15360$	$0.198585$	$240641848/143325$	$0.84160$	$2.39008$	$[0, 1, 0, 104, 104]$	\(y^2=x^3+x^2+104x+104\)	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[(2, 18)]$
87360.cp2	87360v2	87360.cp	87360v	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$61440$	$0.545158$	$240641848/143325$	$0.84160$	$2.61000$	$[0, -1, 0, 415, 417]$	\(y^2=x^3-x^2+415x+417\)	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[]$
87360.go2	87360do2	87360.go	87360do	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$61440$	$0.545158$	$240641848/143325$	$0.84160$	$2.61000$	$[0, 1, 0, 415, -417]$	\(y^2=x^3+x^2+415x-417\)	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[]$
131040.dh2	131040n2	131040.dh	131040n	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1.685259658$	$1$		$5$	$122880$	$0.747891$	$240641848/143325$	$0.84160$	$2.72665$	$[0, 0, 0, 933, -1874]$	\(y^2=x^3+933x-1874\)	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[(5, 54)]$
131040.dl2	131040bw2	131040.dl	131040bw	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$2.355637579$	$1$		$3$	$122880$	$0.747891$	$240641848/143325$	$0.84160$	$2.72665$	$[0, 0, 0, 933, 1874]$	\(y^2=x^3+933x+1874\)	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[(34, 270)]$
218400.bh2	218400bo2	218400.bh	218400bo	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$0.992139828$	$1$		$7$	$368640$	$1.003304$	$240641848/143325$	$0.84160$	$2.86266$	$[0, -1, 0, 2592, 7812]$	\(y^2=x^3-x^2+2592x+7812\)	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[(72, 750)]$
218400.eh2	218400ed2	218400.eh	218400ed	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$368640$	$1.003304$	$240641848/143325$	$0.84160$	$2.86266$	$[0, 1, 0, 2592, -7812]$	\(y^2=x^3+x^2+2592x-7812\)	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[]$
262080.a2	262080a2	262080.a	262080a	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1.586296516$	$1$		$23$	$491520$	$1.094465$	$240641848/143325$	$0.84160$	$2.90851$	$[0, 0, 0, 3732, -14992]$	\(y^2=x^3+3732x-14992\)	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[(46, 504), (14, 200)]$
262080.gv2	262080gv2	262080.gv	262080gv	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$0.885149130$	$1$		$7$	$491520$	$1.094465$	$240641848/143325$	$0.84160$	$2.90851$	$[0, 0, 0, 3732, 14992]$	\(y^2=x^3+3732x+14992\)	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[(26, 360)]$
305760.ca2	305760ca2	305760.ca	305760ca	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1.098267934$	$1$		$7$	$737280$	$1.171539$	$240641848/143325$	$0.84160$	$2.94624$	$[0, -1, 0, 5080, -25500]$	\(y^2=x^3-x^2+5080x-25500\)	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[(40, 490)]$
305760.hq2	305760hq2	305760.hq	305760hq	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$6.774975841$	$1$		$1$	$737280$	$1.171539$	$240641848/143325$	$0.84160$	$2.94624$	$[0, 1, 0, 5080, 25500]$	\(y^2=x^3+x^2+5080x+25500\)	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[(23605/2, 3627225/2)]$
436800.g2	436800g2	436800.g	436800g	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1.970293881$	$1$		$21$	$1474560$	$1.349878$	$240641848/143325$	$0.84160$	$3.03010$	$[0, -1, 0, 10367, -72863]$	\(y^2=x^3-x^2+10367x-72863\)	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[(37, 600), (112, 1575)]$
436800.un2	436800un2	436800.un	436800un	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10920$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.349878$	$240641848/143325$	$0.84160$	$3.03010$	$[0, 1, 0, 10367, 72863]$	\(y^2=x^3+x^2+10367x+72863\)	2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.?	$[]$