Elliptic curve search results

Results (15 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
19320.bb1	19320l3	19320.bb	19320l	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 7 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$4$	$2$	$1$	$61440$	$1.460903$	$344577854816148242/2716875$	$0.95505$	$4.86435$	$[0, 1, 0, -185480, -30808272]$	\(y^2=x^3+x^2-185480x-30808272\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 84.12.0.?, 184.12.0.?, $\ldots$	$[]$
38640.bg1	38640j4	38640.bg	38640j	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$3.101095048$	$1$		$3$	$122880$	$1.460903$	$344577854816148242/2716875$	$0.95505$	$4.54512$	$[0, -1, 0, -185480, 30808272]$	\(y^2=x^3-x^2-185480x+30808272\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 84.12.0.?, 184.12.0.?, $\ldots$	$[(253, 110)]$
57960.w1	57960bp4	57960.w	57960bp	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{9} \cdot 5^{4} \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$6.256568941$	$1$		$1$	$491520$	$2.010212$	$344577854816148242/2716875$	$0.95505$	$4.97810$	$[0, 0, 0, -1669323, 830154022]$	\(y^2=x^3-1669323x+830154022\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 120.12.0.?, 552.12.0.?, $\ldots$	$[(3153/2, 16159/2)]$
96600.b1	96600bn4	96600.b	96600bn	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{10} \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$19320$	$48$	$0$	$9.624346558$	$4$	$2$	$1$	$1474560$	$2.265621$	$344577854816148242/2716875$	$0.95505$	$5.02358$	$[0, -1, 0, -4637008, -3841759988]$	\(y^2=x^3-x^2-4637008x-3841759988\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 420.12.0.?, 840.24.0.?, $\ldots$	$[(10157/2, 219063/2)]$
115920.g1	115920p4	115920.g	115920p	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{9} \cdot 5^{4} \cdot 7 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$4$	$2$	$1$	$983040$	$2.010212$	$344577854816148242/2716875$	$0.95505$	$4.68219$	$[0, 0, 0, -1669323, -830154022]$	\(y^2=x^3-1669323x-830154022\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 120.12.0.?, 552.12.0.?, $\ldots$	$[]$
135240.c1	135240do3	135240.c	135240do	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 7^{7} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$4$	$2$	$1$	$2949120$	$2.433861$	$344577854816148242/2716875$	$0.95505$	$5.05139$	$[0, -1, 0, -9088536, 10549060236]$	\(y^2=x^3-x^2-9088536x+10549060236\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 840.24.0.?, $\ldots$	$[]$
154560.bv1	154560hn4	154560.bv	154560hn	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{17} \cdot 3^{3} \cdot 5^{4} \cdot 7 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$4$	$2$	$1$	$983040$	$1.807478$	$344577854816148242/2716875$	$0.95505$	$4.36585$	$[0, -1, 0, -741921, -245724255]$	\(y^2=x^3-x^2-741921x-245724255\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 92.12.0.?, 168.12.0.?, $\ldots$	$[]$
154560.eh1	154560bu3	154560.eh	154560bu	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{17} \cdot 3^{3} \cdot 5^{4} \cdot 7 \cdot 23 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$6.692670823$	$1$		$9$	$983040$	$1.807478$	$344577854816148242/2716875$	$0.95505$	$4.36585$	$[0, 1, 0, -741921, 245724255]$	\(y^2=x^3+x^2-741921x+245724255\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 92.12.0.?, 168.12.0.?, $\ldots$	$[(522, 975), (897, 17400)]$
193200.hi1	193200fs3	193200.hi	193200fs	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{10} \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$19320$	$48$	$0$	$0.551743732$	$4$	$2$	$11$	$2949120$	$2.265621$	$344577854816148242/2716875$	$0.95505$	$4.73750$	$[0, 1, 0, -4637008, 3841759988]$	\(y^2=x^3+x^2-4637008x+3841759988\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 420.12.0.?, 840.24.0.?, $\ldots$	$[(1238, 300)]$
270480.gs1	270480gs4	270480.gs	270480gs	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 7^{7} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$4$	$2$	$1$	$5898240$	$2.433861$	$344577854816148242/2716875$	$0.95505$	$4.77146$	$[0, 1, 0, -9088536, -10549060236]$	\(y^2=x^3+x^2-9088536x-10549060236\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 280.12.0.?, 840.24.0.?, $\ldots$	$[]$
289800.bz1	289800bz3	289800.bz	289800bz	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{9} \cdot 5^{10} \cdot 7 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$4$	$2$	$1$	$11796480$	$2.814930$	$344577854816148242/2716875$	$0.95505$	$5.10887$	$[0, 0, 0, -41733075, 103769252750]$	\(y^2=x^3-41733075x+103769252750\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 140.12.0.?, 840.24.0.?, $\ldots$	$[]$
405720.gn1	405720gn4	405720.gn	405720gn	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{11} \cdot 3^{9} \cdot 5^{4} \cdot 7^{7} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$19320$	$48$	$0$	$1$	$16$	$2$	$1$	$23592960$	$2.983166$	$344577854816148242/2716875$	$0.95505$	$5.13209$	$[0, 0, 0, -81796827, -284742829546]$	\(y^2=x^3-81796827x-284742829546\)	2.3.0.a.1, 4.12.0-4.c.1.2, 840.24.0.?, 920.24.0.?, 3864.24.0.?, $\ldots$	$[]$
444360.bo1	444360bo3	444360.bo	444360bo	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 7 \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$19320$	$48$	$0$	$10.15647089$	$1$		$1$	$32440320$	$3.028652$	$344577854816148242/2716875$	$0.95505$	$5.13816$	$[0, 1, 0, -98119096, 374059293104]$	\(y^2=x^3+x^2-98119096x+374059293104\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 840.24.0.?, 920.24.0.?, $\ldots$	$[(7839311/37, 50968500/37)]$
463680.kj1	463680kj4	463680.kj	463680kj	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{17} \cdot 3^{9} \cdot 5^{4} \cdot 7 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$7864320$	$2.356785$	$344577854816148242/2716875$	$0.95505$	$4.50345$	$[0, 0, 0, -6677292, -6641232176]$	\(y^2=x^3-6677292x-6641232176\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 120.12.0.?, 276.12.0.?, $\ldots$	$[]$
463680.li1	463680li3	463680.li	463680li	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{17} \cdot 3^{9} \cdot 5^{4} \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$6.209032236$	$1$		$1$	$7864320$	$2.356785$	$344577854816148242/2716875$	$0.95505$	$4.50345$	$[0, 0, 0, -6677292, 6641232176]$	\(y^2=x^3-6677292x+6641232176\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.2, 120.12.0.?, 276.12.0.?, $\ldots$	$[(11593/2, 862875/2)]$